Publications. Books. Chapters in books

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1 Publications Hélène Frankowska Books References [1] AUBIN J.-P. & FRANKOWSKA H. (1990) Set-Valued Analysis, Birkhäuser, Boston, Basel, Berlin (Modern Birkhäuser Classics, reprint 2008) [2] FRANKOWSKA H. (2002) Value Function in Optimal Control, ICTP Lecture Notes, 115 pages, Summer School of Mathematical Control Theory, September 3-28, Chapters in books [3] FRANKOWSKA H. & OLECH C. (1983) R-convexity of integral of set-valued function, in Contributions to Analysis and Geometry, John Hopkins University Press, Baltimore, Md., [4] CANNARSA P. & FRANKOWSKA H. (1989) Two characterisations of optimal trajectories for the Mayer problem, in Selected papers from the IFAC symposium Nonlinear Control Systems Design, Capri, June 14-16, 1989, A. Isidori Ed., Pergamon Press, [5] FRANKOWSKA H. (1997) How set-valued maps pop-up in control theory, Invited lecture of International Conference MTNS-96, Saint-Louis, USA, June 1996 in Progress in Systems and Control Theory, nr. 22, Birkhauser, Boston, [6] DAL MASO G. & FRANKOWSKA H. (2000) Uniqueness of solutions to Hamilton-Jacobi equations arising in calculus of variations, in Optimal Control and Partial Differential Equations, J.Menaldi, E.Rofman and A.Sulem Eds., IOS Press, [7] DONTCHEV A. & FRANKOWSKA H. (2013) On derivative criteria for metric regularity, in Computational and Analytical Mathematics, Bailey, D.H. and al. Eds., Springer Proceedings in Mathematics & Statistics, 50, [8] FRANKOWSKA H. & OSMOLOVSKII N. P. (2015) Second-order necessary optimality conditions for the Mayer problem subject to a general control constraint, Bettiol, P., Cannarsa, P., Colombo, G., Motta, M., Rampazzo, F. (Eds.), Analysis and Geometry in Control Theory and its Applications, Springer INDAM series, 12, Springer Verlag,

2 International peer reviewed journals [9] FRANKOWSKA H. & OLECH C. (1982) Boundary solutions to differential inclusions, J. Diff. Eqs. 44, [10] FRANKOWSKA H. (1983) Inclusions adjointes associées aux trajectoires minimales d inclusions différentielles, Comptes-Rendus de l Académie des Sciences, PARIS, Série 1, 297, [11] FRANKOWSKA H. (1984) Contrôlabilité locale et propriétés des semi-groupes de correspondances, Comptes-Rendus de l Académie des Sciences, PARIS, Série 1, 299, [12] FRANKOWSKA H. (1984) The first order necessary conditions for nonsmooth variational and control problems, SIAM J. on Control and Optimization, 22, 1-12 [13] AUBIN J.-P. & FRANKOWSKA H. (1984) Trajectoires lourdes de systèmes contrôlés, Comptes-Rendus de l Académie des Sciences, PARIS, Série 1, 298, [14] AUBIN J.-P. & FRANKOWSKA H. (1985) Heavy viable trajectories of controlled systems, Ann. Inst. Henri Poincaré, Analyse Non Linéaire, 2, [15] FRANKOWSKA H. (1985) A viability approach to the Skorohod problem, Stochastics, 14, [16] FRANKOWSKA H. (1985) Necessary conditions for Bolza problem, Math. Op. Res., 10, [17] FRANKOWSKA H. (1985) The adjoint differential inclusions associated to a minimal trajectory of a differential inclusion, Ann. Inst. Henri Poincaré, 2, [18] FRANKOWSKA H. (1986) Le principe du maximum pour une inclusion différentielle avec des contraintes sur les états initiaux et finaux, Comptes-Rendus de l Académie des Sciences, PARIS, Série 1, 302, [19] FRANKOWSKA H. (1986) Les cônes contingents aux ensembles atteignables des systèmes contrôlés, Comptes-Rendus de l Académie des Sciences, PARIS 303, Série 1, [20] FRANKOWSKA H. (1986) Theorème d application ouverte pour des correspondances, Comptes-Rendus de l Académie des Sciences, PARIS, Série 1, 302, [21] AUBIN J.-P., FRANKOWSKA H. & OLECH C. (1986) Contrôlabilité des processus convexes, Comptes-Rendus de l Académie des Sciences, PARIS, Série 1, 301, [22] AUBIN J.-P., FRANKOWSKA H. & OLECH C. (1986) Controllability of convex processes, SIAM J. on Control and Optimization, 24, [23] AUBIN J.-P. & FRANKOWSKA H. (1987) Observabilité des systèmes sous incertitude, Comptes-Rendus de l Académie des Sciences, PARIS, Série 1, 306, [24] AUBIN J.-P. & FRANKOWSKA H. (1987) On the inverse fonction theorem, J. Math. Pures et Appliquées, 66, [25] FRANKOWSKA H. (1987) An open mapping principle for set-valued maps, J. of Math. Analysis and Appl., 127,

3 [26] FRANKOWSKA H. (1987) L équation d Hamilton-Jacobi contingente, Comptes-Rendus de l Académie des Sciences, PARIS, Série 1, 304, [27] FRANKOWSKA H. (1987) Local controllability and infinitesimal generators of semigroups of set-valued maps, SIAM J. on Control and Optimization, 25, [28] FRANKOWSKA H. (1987) On the single-valuedness of Hamilton-Jacobi Operators, J. of Nonlinear Analysis, 10, [29] FRANKOWSKA H. (1987) Théorèmes d application ouverte et de fonction inverse, Comptes Rendus de l Académie des Sciences, PARIS, Série 1, 305, [30] FRANKOWSKA H. (1987) The maximum principle for an optimal solution to a differential inclusion with end point constraints, SIAM J. on Control and Optimization, 25, [31] FRANKOWSKA H. & KA`SKOSZ B. (1988) A maximum principle for differential inclusion problems with state constraints, Systems & Control Letters, 11, [32] FRANKOWSKA H. & KA`SKOSZ B. (1988) Linearization and boundary trajectories of nonsmooth control systems, Canadian Journal of Mathematics, XL, [33] AUBIN J.-P. & FRANKOWSKA H. (1989) Observability of systems under uncertainty, SIAM J. on Control and Optimization, Special Issue dedicated to Mac Shain, 27, [34] FRANKOWSKA H. (1989) Contingent cones to reachable sets of control systems, SIAM J. on Control and Optimization, 27, [35] FRANKOWSKA H. (1989) Estimations a priori pour les inclusions differentielles operationelles, Comptes-Rendus de l Académie des Sciences, PARIS, Série 1, 308, [36] FRANKOWSKA H. (1989) Hamilton-Jacobi equation: viscosity solutions and generalized gradients, J. Math. Analysis and Appl., 141, [37] FRANKOWSKA H. (1989) Local controllability of control systems with feedbacks, Journal of Optimization Theory and Applications, 60, [38] FRANKOWSKA H. (1989) Optimal trajectories associated to a solution of contingent Hamilton-Jacobi equations, Applied Mathematics and Optimization, 19, [39] FRANKOWSKA H. (1990) A priori estimates for operational differential inclusions, J. Diff. Eqs., 84, [40] FRANKOWSKA H. (1990) On controllability and observability of implicit systems, Systems and Control Letters, 14, [41] FRANKOWSKA H. (1990) Some inverse mapping theorems, Ann. Inst. Henri Poincaré, Analyse Non Linéaire, 7, [42] AUBIN J.-P. & FRANKOWSKA H. (1990) Controllability and observability of control systems under uncertainty, Volume dedicated to Opial, Ann. Polonici Mat, LI, [43] AUBIN J.-P. & FRANKOWSKA H. (1990) Inclusions aux dérivées partielles gouvernant des contrôles de rétroaction, Comptes-Rendus de l Académie des Sciences, Série 1, Paris,

4 [44] FATTORINI H. & FRANKOWSKA H. (1990) Explicit convergence estimates for suboptimal controls, Part I, Problems of Control and Information Theory, 19, 3-29 [45] FATTORINI H. & FRANKOWSKA H. (1990) Explicit convergence estimates for suboptimal controls, Part II, Problems of Control and Information Theory, 19, [46] FRANKOWSKA H. & KA`SKOSZ B. (1990) Minimal trajectories of nonconvex differential inclusions, Journal of Optimization Theory and Applications, 61, [47] CANNARSA P. & FRANKOWSKA H. (1990) Quelques characterisations des trajectoires optimales dans la théorie de contrôle, Comptes-Rendus de l Académie des Sciences, Série 1, Paris, 310, [48] CANNARSA P. & FRANKOWSKA H. (1991) Some characterizations of optimal trajectories in control theory, SIAM J. on Control and Optimization, 29, [49] FATTORINI H. & FRANKOWSKA H. (1991) Necessary conditions for infinite dimensional control problems, Mathematics of Systems, Signals and Control, 4, [50] AUBIN J.-P. & FRANKOWSKA H. (1991) Systèmes hyperboliques d inclusions aux dérivées partielles, Comptes-Rendus de l Académie des Sciences, Série 1, Paris, 312, [51] AUBIN J.-P. & FRANKOWSKA H. (1991) Hyperbolic systems of partial differential inclusions, Annali di Scuola Normale Superiore di Pisa, Serie 4, vol. XVIII, [52] AUBIN J.-P., FRANKOWSKA H. & LASOTA A. (1991) Poincarés recurrence theorem for set-valued dynamical systems, Ann. Polonici Mat, LIV1, [53] FRANKOWSKA H. & QUINCAMPOIX M. (1991) L algorithme de viabilité, Comptes- Rendus de l Académie des Sciences, Série 1, Paris, 312, [54] FRANKOWSKA H. & QUINCAMPOIX M. (1991) Viability kernels of differential inclusions with constraints: algorithm and applications, J. Math. Systems, Estimation and Control, 1, [55] FRANKOWSKA H. (1992) A conical inverse mapping theorem, Bull. of Australian Math. Soc., 45, [56] BYRNES Ch. & FRANKOWSKA H. (1992) Unicité des solutions optimales et absence de chocs pour les équations d Hamilton-Jacobi-Bellman et de Riccati, Comptes-Rendus de l Académie des Sciences, t. 315, Série 1, Paris, [57] CANNARSA P. & FRANKOWSKA H. (1992) Value function and optimality conditions for semilinear control problems, Applied Mathematics and Optimization, 26, [58] FRANKOWSKA H., PLASKACZ S. & RZEZUCHOWSKI T. (1992) Théorèmes de viabilité mesurable et l équation d Hamilton-Jacobi-Bellman, Comptes-Rendus de l Académie des Sciences, t. 315, Série 1, Paris, [59] FRANKOWSKA H. (1993) Lower semicontinuous solutions of Hamilton-Jacobi-Bellman equation, SIAM J. on Control and Optimization, 31,

5 [60] DA PRATO G. & FRANKOWSKA H. (1994) A stochastic version of Filippov s theorem, Stochastic Calculus, 12, [61] CAROFF N. & FRANKOWSKA H. (1994) A note on conjugate points and shocks in nonlinear optimal control, Bull. of the Polish Academy of Sciences, 42, [62] AUBIN J.-P. & FRANKOWSKA H. (1995) Partial differential inclusions governing feedback controls, Convex Analysis, 2, [63] FRANKOWSKA H., PLASKACZ S. & RZEZUCHOWSKI T. (1995) Measurable viability theorems and Hamilton-Jacobi-Bellman equation, J. Diff. Eqs., 116, [64] FRANKOWSKA H. & PLASKACZ S. (1996) A measurable upper semicontinuous viability theorem for tubes, J. of Nonlinear Analysis, TMA, 26, [65] AUBIN J.-P. & FRANKOWSKA H. (1997) Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions, NODEA, 4, [66] AUBIN J.-P. & FRANKOWSKA H. (1996) The viability kernel algorithm for computing value functions of infinite horizon optimal control problems, JMAA, 201, [67] CAROFF N. & FRANKOWSKA H. (1996) Conjugate points and shocks in nonlinear optimal control, Transactions of AMS, 348, [68] CANNARSA P. & FRANKOWSKA H. (1996) On the value function of semilinear optimal control problems of parabolic type, II, Applied Mathematics and Optimization, 33, 1-33 [69] CANNARSA P., FRANKOWSKA H. & SINESTRARI C. (1998) Properties of minimal time function in nonlinear control theory, JMSEC, 8, [70] FRANKOWSKA H. & RAMPAZZO F. (1998) Relaxing constrained control systems, Note Bulletin PAN, 46, [71] FRANKOWSKA H. & RAMPAZZO F. (1999) ) Relaxation of control systems under state constraints, SIAM J. of Control, 37, [72] FRANKOWSKA H. & QUINCAMPOIX M. (1999) Dissipative control systems and disturbance attenuation for nonlinear H -problems, AMO, 40, [73] FRANKOWSKA H. & PLASKACZ S. (2000) Semicontinuous solutions of Hamilton- Jacobi-Bellman equations with degenerate state constraints, J. Math. Anal. Appl., 251, [74] CANNARSA P., FRANKOWSKA H. & SINESTRARI C. (2000) Optimality conditions and synthesis for the minimum time problem, J. Set-Valued Analysis, 8, [75] FRANKOWSKA H. & RAMPAZZO F. (2000) Filippov s and Filippov-Ważewski s theorems on closed domains, J. Diff. Eqs., 161, [76] AUBIN J.-P., DA PRATO G. & FRANKOWSKA H. (2000) Stochastic invariance for differential inclusions, J. Set-Valued Analysis, 8, [77] FRANKOWSKA H. & VINTER R.B. (2000) Existence of neighbouring feasible trajectories: applications to dynamic programming for state constrained optimal control problems, J. Optimization Theory and Applications, 104,

6 [78] DAL MASO G. & FRANKOWSKA H. (2000) Value function for Bolza problem with discontinuous Lagrangian and Hamilton-Jacobi inequalities, ESAIM-COCV, 5, [79] DA PRATO G. & FRANKOWSKA H. (2001) Stochastic viability for compact sets in terms of the distance function, Dynamic Systems and Applications, 10, [80] DAL MASO G. & FRANKOWSKA H. (2003) Autonomous integral functionals with discontinuous nonconvex integrands : lipschitz regularity of minimizers, Du Bois-Reymond necessary conditions and Hamilton-Jacobi equations, Applied Mathematics and Optimization, 48, [81] DA PRATO G. & FRANKOWSKA H. (2004) Invariance of stochastic control systems with deterministic arguments, J. Diff. Eqs., 200, [82] DA PRATO G. & FRANKOWSKA H. (2004) Existence, uniqueness and regularity of the invariant measure for a class of elliptic degenerate operators, J. Diff. and Integral Eqs., 17, [83] FRANKOWSKA H. & OCHAL A. (2005) On singularities of value function for Bolza optimal control problem, J. Math. Anal. Appl., 306, [84] FRANKOWSKA H. (2005) Optimal synthesis via superdifferentials of value function, Control and Cybernetics, 34, [85] DA PRATO G. & FRANKOWSKA H. (2006) Invariant measure for a class of parabolic degenerate equations, NODEA, 12, [86] CERNEA A. & FRANKOWSKA H. (2006) A connection between the maximum principle and dynamic programming for constrained control problems, SIAM J. on Control, 44, [87] CERNEA A. & FRANKOWSKA H. (2006) A note on the value function for constrained control problems, Systems & Control Letters, 55, [88] FRANKOWSKA H. (2006) Regularity of minimizers and of adjoint states for optimal control problems under state constraints, J. Convex Analysis, 13, [89] CANNARSA P. & FRANKOWSKA H. (2006) Interior sphere property of attainable sets and time optimal control problems, ESAIM COCV, 12, [90] BETTIOL P. & FRANKOWSKA H. (2006) Regularity of solution maps of differential inclusions under state constraints, J. Set-Valued Analysis, 15, [91] FRANKOWSKA H. & MARCHINI E. (2006) Existence and Lipschitzianity of optimal trajectories for the Bolza optimal control problem, Calculus of Variations and PDE, 27, [92] HADJ-BOUZIANE F., FRANKOWSKA H., MEUNIER M., COQUELIN P., & BOUS- SAOUD D. (2006) Conditional visuomotor learning and dimension reduction, Cognitive processing, 7, [93] DA PRATO G. & FRANKOWSKA H. (2007) Stochastic viability of convex sets, J. Math. Analysis and Appl., 333,

7 [94] BETTIOL P. & FRANKOWSKA H. (2007) Normality of the maximum principle for non convex constrained Bolza problems, J. Diff. Eqs., 243, [95] BETTIOL P. & FRANKOWSKA H. (2008) Hölder continuity of adjoint states and optimal controls for state constrained problems, Applied Mathematics and Optimization, 57, [96] CANNARSA P., FRANKOWSKA H. & MARCHINI E. (2009) Existence and Lipschitz regularity of solutions to Bolza problems in optimal control, Trans. Amer. Math. Soc. 361, [97] CANNARSA P., FRANKOWSKA H. & MARCHINI E. (2009) On Bolza optimal control problems with constraints, Discrete and Continuous Dynamical Systems, Series B, 11, [98] FRANKOWSKA H. (2009) Normality of the maximum principle for absolutely continuous solutions to Bolza problems under state constraints, Control and Cybernetics, 38, [99] CANNARSA P., DA PRATO G. & FRANKOWSKA H. (2010) Invariant measures associated to degenerate elliptic operators, Indiana University Mathematics Journal, 59, [100] FRANKOWSKA H. (2010) Optimal control under state constraints, Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), Volume IV, [101] FRANKOWSKA H. (2010) On LeFloch solutions to initial-boundary value problem for scalar conservation laws, Journal of Hyperbolic Differential Equations, 7, [102] DONTCHEV A. & FRANKOWSKA H. (2011) Lyusternik-Graves theorem and fixed points, Proceedings of the American Mathematical Society, 139, [103] FRANKOWSKA H. & QUINCAMPOIX M. (2012) Hölder metric regularity of set-valued maps, Mathematical Programming, 132, [104] BETTIOL P. & FRANKOWSKA H. (2012) Lipschitz regularity of solution map of control systems with multiple state constraints, Discrete Contin. Dynam. Systems - A, 32, 1 26 [105] BETTIOL P., FRANKOWSKA H. & VINTER R. (2012) L Estimates on trajectories confined to a closed subset, J. Differential Equations, 252, [106] DONTCHEV A. & FRANKOWSKA H. (2012) Lyusternik-Graves Theorem and Fixed Points II, J. Convex Analysis, 19, [107] FRANKOWSKA H. & MAZZOLA M. (2013) Discontinuous solutions of Hamilton-Jacobi- Bellman equation under state constraints, Calculus of Variations and Partial Differential Equations, 46, [108] FRANKOWSKA H. & MAZZOLA M. (2013) On relations of the adjoint state to the value function for optimal control problems with state constraints, NODEA, 20, Issue 2, [109] CANNARSA P., FRANKOWSKA H. & MARCHINI E. M. (2013) On optimal control problems with applications to systems with memory, Journal of Evolution Equations, 13,

8 [110] FRANKOWSKA H. & TONON D. (2013) Inward pointing trajectories, normality of the maximum principle and the non occurrence of the Lavrentieff phenomenon in optimal control under state constraints, J. Convex Analysis, 4, [111] CANNARSA P. & FRANKOWSKA H. (2013) Local regularity of the value function in optimal control, Systems and Control Letters, 62, [112] FRANKOWSKA H. & TONON D. (2013) Pointwise second-order necessary optimality conditions for the Mayer problem with control constraints, SIAM Journal on Control and Optimization, 51, [113] FRANKOWSKA H. & DESILLES A. (2013) Explicit construction of solutions to Burgers equation with discontinuous initial-boundary conditions, Networks and Heterogeneous Media, 8, [114] FRANKOWSKA H., HOEHENER D. & TONON D. (2013) A second-order maximum principle in optimal control under state constraints, Serdica Mathematical Journal 39, 3-4, [115] CANNARSA P. & FRANKOWSKA H. (2014) From pointwise to local regularity for solutions of Hamilton-Jacobi equations, Calculus of Variations and Partial Differential Equations, 49, [116] FRANKOWSKA H. & SEDRAKYAN H. (2014) Stable representation of convex Hamiltonians, Nonlinear Analysis: Theory, Methods & Applications 100, [117] BETTIOL P., FRANKOWSKA H. & VINTER R. (2015) Improved sensitivity relations in state constrained optimal control, Applied Mathematics and Optimization, 71, [118] CANNARSA P., FRANKOWSKA H. & SCARINCI T. (2015) Sensitivity relations for the Mayer problem with differential inclusions, ESAIM COCV, 21, [119] FRANKOWSKA H. & NGUYEN L. V. (2015) Local regularity of the minimum time function, Journal of Optimization Theory and Applications, 164, 1, pp [120] FONTES F. & FRANKOWSKA H. (2015) Normality and nondegeneracy for optimal control problems with state constraints, Journal of Optimization Theory and Applications, 166, [121] CANNARSA P., FRANKOWSKA H. & SCARINCI T. (2015) Second-order sensitivity relations and regularity of the value function for Mayer s problem in optimal control, SIAM Journal on Control and Optimization, 53, [122] FRANKOWSKA H., MARCHINI E. M. & MAZZOLA M. (2016) A relaxation result for state constrained inclusions in infinite dimension, Mathematical Control and Related Fields (MCRF), 6, [123] FRANKOWSKA H., ZHANG H. & ZHANG X. (2017) First and second order necessary conditions for stochastic optimal controls, J. of Diff. Eqs., 262, [124] FRANKOWSKA H. & HOEHENER D. (2017) Pointwise second order necessary optimality conditions and second order sensitivity relations in optimal control, J. of Diff. Eqs., 262,

9 [125] CANNARSA P., DA PRATO G. & FRANKOWSKA H. (2018) Invariance for quasidissipative systems in Banach spaces, J. Math. Anal. Appl., 457, [126] CANNARSA P. & FRANKOWSKA H. (2018) Value function, relaxation, and transversality conditions in infinite horizon optimal control, J. Math. Anal. Appl., 457, [127] FRANKOWSKA H., ZHANG H. & ZHANG X. (2018) Stochastic optimal control problems with control and initial-final states constraints, SIAM J. Control Optim., 56, [128] FRANKOWSKA H., MARCHINI E. M. & MAZZOLA M. (2018) Necessary optimality conditions for infinite dimensional state constrained control problems, J. of Diff. Eqs., 264, [129] FRANKOWSKA H. & OSMOLOVSKII N. P. (2018) Second-order necessary conditions for a strong local minimum in a problem with state and general control constraints, SIAM J. Control Optim., 56, [130] FRANKOWSKA H. (2018) A note on the Poincaré-Miranda theorem and viability condition, J. Math. Anal. Appl., 463, [131] FRANKOWSKA H., MARCHINI E. M. & MAZZOLA M. (2018) Distance estimates for state constrained trajectories of infinite dimensional differential inclusions, ESAIM COCV, Published online DOI /cocv/ [132] FRANKOWSKA H. & OSMOLOVSKII N. P. (2018) Second-order necessary conditions for a strong local minimum in optimal control with general control constraints, Applied Mathematics and Optimization, published online, DOI: [133] FRANKOWSKA H. & HAIDAR I. (2018) A relaxation result for state constrained delay differential inclusions, IEEE Transactions on Automatic Control, 63 [134] BASCO V., CANNARSA P. & FRANKOWSKA H. (2018) Necessary conditions for infinite horizon optimal control problems with state constraints, Mathematical Control and Related Fields (MCRF), DOI: /mcrf [135] FRANKOWSKA H., ZHANG H. & ZHANG X. (in press) Necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints, in press, Trans. Amer. Math. Soc. [136] BUCKDAHN R., FRANKOWSKA H. & QUINCAMPOIX M. (in revision) Viability of an open set for stochastic control systems, in revision, Stochastic Processes and their Applications [137] FRANKOWSKA H. & SAGARA N. (submitted) Value functions and optimality conditions for nonconvex variational problems with an infinite horizon in Banach spaces, Economic Theory, [138] BASCO V. & FRANKOWSKA H. (submitted) Lipschitz continuity of the value function for the infinite horizon optimal control problem under state constraints 9

10 [139] BASCO V. & FRANKOWSKA H. (submitted) Hamilton-Jacobi-Bellman equations with time-measurable data and infinite horizon [140] FRANKOWSKA H. (submitted on invitation of EiC) Infinite horizon optimal control for non-convex problems under state constraints, Advances in Mathematical Economics [141] BASCO V., CANNARSA P. & FRANKOWSKA H. (submitted) Semiconcavity results and sensitivity relations for the sub-riemannian distance Reviewed conference proceedings [142] FRANKOWSKA H. (1984) The maximum principle for a differential inclusion problem, in Analysis and Optimization of Systems, Proceedings of the 6th International Conference on Analysis and Optimization of Systems, Lecture Notes in Control and Information Sciences, Springer Verlag, [143] AUBIN J.-P. & FRANKOWSKA H. (1985) Heavy viable trajectories of controlled systems, Proceedings of Dynamics of Macrosystems, IIASA, September 1984, Ed. Aubin J.-P., Saari D. & Sigmund K., Springer-Verlag, [144] FRANKOWSKA H. (1985) Local invertibility of set-valued maps, in Nonlinear and convex analysis, Proceedings of the Conference on Functional Analysis at Santa Barbara, June 23-26, Marcel Dekker, [145] FRANKOWSKA H. (1987) Local controllability of control systems with feedbacks, Proceedings of 25th CDC Conference, IEEE, Athens, December [146] FRANKOWSKA H. (1987) Optimal trajectories associated to a solution of contingent Hamilton-Jacobi equations, Proceedings of 26th CDC Conference, IEEE, Los Angeles, December 9-11 [147] FRANKOWSKA H. (1988) A general multiplier rule for infinite dimensional optimization problems with constraints, Proceedings of the First workshop on stabilization of flexible structures, Montpellier, December 11-15, 1987, J.P. Zolesio Editor, Comcon Conference Inc. [148] FRANKOWSKA H. (1988) Non smooth solutions to an Hamilton-Jacobi equation, Proceedings of the International Conference Bellman Continuum, Antibes, France, June 13-14, Lecture Notes in Control and Information Sciences, Springer Verlag, [149] FATTORINI H. & FRANKOWSKA H. (1988) Necessary conditions for infinite dimensional control problems, Proceedings of the 8th International Conference on Analysis and Optimization of Systems, Lecture Notes in Control and Information Sciences, Springer Verlag, [150] FATTORINI H. & FRANKOWSKA H. (1989) Explicit estimates for convergence of suboptimal controls, Proceedings of the International Conference 30 years of Modern Control Theory, Kingston, June 3-6, 1988, E. Roxin Editor, Marcel Dekker, [151] FRANKOWSKA H. (1989) Set-valued analysis and some control problems, Proceedings of the International Conference 30 years of Modern Control Theory, Kingston, June 3-6, 1988, E. Roxin Editor, Marcel Dekker,

11 [152] FRANKOWSKA H. (1989) High order inverse function theorems, in Analyse Non Linéaire, Attouch, Aubin, Clarke, Ekeland Eds., Gauthier-Villars & C.R.M. Université de Montréal, [153] FRANKOWSKA H. (1989) On the linearization of nonlinear control systems and exact reachability, Proceedings of International Conference on Control of Distributed Parameter Systems, Santiago di Compostella (July 1987), Lecture Notes in Control and Information Sciences, Springer Verlag [154] FRANKOWSKA H. (1990) A priori estimates for operational differential inclusions and necessary conditions for optimality, Proceedings of the 9th International Conference on Analysis and Optimization of Systems, Lecture Notes in Control and Information Sciences, Springer Verlag [155] CANNARSA P. & FRANKOWSKA H. (1990) Some characterizations of optimal trajectories in control theory, Proceedings of 29th CDC Conference, IEEE, Honolulu, December 5-7 [156] FATTORINI H. & FRANKOWSKA H. (1991) Necessary conditions for optimality for infinite dimensional problems with state constraints, in Modelling and Inverse Problems of Control for Distributed Parameter Systems, Lasiecka & Kurzhanski Eds. [157] AUBIN J.-P. & FRANKOWSKA H. (1991) Feedback controls for uncertain systems, in Modeling, estimation and control of systems with uncertainty, Di Masi, Gombani & Kurzhanski Eds, 1-21 [158] AUBIN J.-P. & FRANKOWSKA H. (1991) Viability kernels of control systems, in Nonlinear Synthesis, Eds. Byrnes & Kurzhanski, Birkhäuser, Boston, Basel, Berlin [159] FRANKOWSKA H. (1991) Lower semicontinuous solutions to Hamilton-Jacobi-Bellman equations, Proceedings of 30th CDC Conference, IEEE, Brighton, December [160] FRANKOWSKA H. (1992) Conical inverse mapping theorems and applications to some control problems, in Nonsmooth Optimization, F.Gianessi Ed., Springer Verlag [161] FRANKOWSKA H. & QUINCAMPOIX M. (1992) Value functions of differential games, in Proceedings of Premier Colloque Franco-Roumain sur l Optimisation, Controle Optimal, Equations aux Dérivées Partielles, 7-11 Septembre, 1992, International Series of Numerical Mathematics, vol. 107, Birkhäuser Verlag, Basel, [162] CAROFF N. & FRANKOWSKA H. (1992) Optimality and characteristics of Hamilton- Jacobi-Bellman equations, in Proceedings of Premier Colloque Franco-Roumain sur l Optimisation, Controle Optimal, Equations aux Dérivées Partielles, 7-11 Septembre, 1992, International Series of Numerical Mathematics, vol. 107, Birkhäuser Verlag, Basel, [163] FRANKOWSKA H., PLASKACZ S. & RZEZUCHOWSKI T. (1993) Set-valued approach to the Hamilton-Jacobi-Bellman equation, Proceedings of Conference Set-Valued Analysis, Pomporovo, Bulgaria, 1990, Birkhäuser, Boston, Basel, Berlin [164] CAROFF N. & FRANKOWSKA H. (1997) Optimality conditions and smoothness of the value function in nonlinear optimal control, Proceedings of conference Nonlinear Analysis and Applications, Samos, July 1996, Marcel Dekker 11

12 [165] H. FRANKOWSKA H. & PLASKACZ S. (1998) Semicontinuous solutions of Hamilton Jacobi equations with state constraints, in Differential Inclusions and Optimal Control, Lecture Notes in Nonlinear Analysis, Vol. 2, J. Schauder Center for Nonlinear Studies, Ed. J. Andres, L. Gorniewicz and P. Nistri, [166] BYRNES Ch. & FRANKOWSKA H. (1998) Uniqueness of optimal trajectories and the nonexistence of shocks for Hamilton-Jacobi-Bellman and Riccati partial differential equations in Differential Inclusions and Optimal Control, Lecture Notes in Nonlinear Analysis, Vol. 2, J. Schauder Center for Nonlinear Studies, Ed. J. Andres, L. Gorniewicz and P. Nistri, [167] FRANKOWSKA H. & PLASKACZ S. (1999) Hamilton-Jacobi equations for infinite horizon control problems with state constraints, Proceedings of International Conference Calculus of Variations and related topics, Haifa, March 25-April 1, 1998 [168] FRANKOWSKA H. & VINTER R.B. (2000) A note on existence of neighbouring feasible trajectories: applications to dynamic programming for state constrained optimal control problems, Proceedings of CDC IEEE Conference, Sydney, December 11-15, 2000 [169] FRANKOWSKA H. (2001) Hamilton-Jacobi equations with discontinuous Hamiltonians arising in control of systems with disturbances, Proceedings of International Conference ICCTA-01, Pretoria, Afrique du Sud, Décembre, 2001 [170] FRANKOWSKA H. (2002) Global output regulation of nonlinear systems, Proceedings of CDC IEEE Conference, Las Vegas, December 10-13, 2002 [171] CERNEA A. & FRANKOWSKA H. (2004) The connection between the maximum principle and the value function for optimal control problems under state constraints, Proceedings of CDC IEEE Conference, Bahamas, December 8-11, 2005 [172] DA PRATO G. & FRANKOWSKA H. (2005) Invariance of closed sets under stochastic control systems, Proceedings of the International Conference IFIP 2003, Sophia-Antipolis, juillet, 2003, dans Lecture Notes in Pure and Applied Mathematics, John Cagnol and Jean-Paul Zolesio (Eds) Marcel Dekker Inc. [173] FRANKOWSKA H. (2005) Regularity of the adjoint variable in optimal control under state constraints, Proceedings of 44th IEEE Conference on Decision and Control and European Control Conference, December 12-16, 2005, Sevilla, Spain, [174] CANNARSA P., FRANKOWSKA H. & MARCHINI E. (2007) Lipschitz continuity of optimal trajectories in deterministic optimal control, Proceedings of the International Conference Views of ODE s, Aveiro, June 2007, dans Differential Equations, Chaos and Variational Problems, Series: Progress in Nonlinear Differential Equations and Their Applications, Vol. 75, Staicu, Vasile (Ed.), Birkhäuser [175] BETTIOL P. & FRANKOWSKA H. (2008) Hölder continuity of minimizers for the state constrained Boza problem, Proceedings of 6th International Congress on Industrial and Applied Mathematics, Zurich, July 16-20, 2007, Article first published online: 6 AUG 2008, Proc. Appl. Math. Mech., 7: doi: /pamm [176] BETTIOL P. & FRANKOWSKA H. (2010) On the solution map of control systems with multiple state constraints, Proceedings of 49th IEEE Conference on Decision and Control, Atlanta, USA, December 15-17,

13 [177] FRANKOWSKA H. & MAZZOLA M. (2011) Optimal synthesis and normality of the maximum principle for optimal control problems with pure state constraints, Proc. 9th IEEE Int. Conf. Control Automat., Dec , 2011, Santiago, Chili. [178] BETTIOL P., FRANKOWSKA H. & VINTER R. (2013) Sensitivity interpretations of the co-state trajectory for opimal control problems with state constraints, Proceedings of 52th IEEE Conference on Decision and Control, Florence, Italy, December 10-13, 2013, [179] FRANKOWSKA H. & TONON D. (2013) The Goh necessary optimality conditions for the Mayer problem with control constraints, Proceedings of 52th IEEE Conference on Decision and Control, Florence, Italy, December 10-13, 2013, [180] CANNARSA P., FRANKOWSKA H. & SCARINCI T. (2014) Sensitivity relations for the Mayer problem with differential inclusions, Proceedings of 53rd IEEE Conference on Decision and Control, Los Angeles, CA, USA, December 15-17, 2014 [181] FRANKOWSKA H. & HOEHENER D. (2015) Jacobson type necessary optimality conditions for general control systems, Proceedings of 54th IEEE Conference on Decision and Control, Osaka, Japan, December 15-18, 2015 [182] FRANKOWSKA H., ZHANG H. & ZHANG X. (2016) Necessary optimality conditions for weak local minima in stochastic control, Proceedings of NOLCOS 2016, 10th IFAC Symposium on Nonlinear Control Systems, Monterey, CA, USA, August 23-25, 2016 [183] CANNARSA P. & FRANKOWSKA H. (2017) Infinite horizon optimal control: transversality conditions and sensitivity relations, Proceedings of the 2017 American Control Conference, Seattle, WA, USA, May 24-26, 2017 [184] FRANKOWSKA H. & HAIDAR I. (2018) Viable trajectories for non-convex differential inclusions with constant delay, 14th IFAC Workshop on Time Delay Systems, Budapest, Hungary, June 28-30,