Helene Frankowska, Université Pierre et Marie Curie (Paris 6) Second order necessary optimality condistions in optimal control Martedì 15 Aprile 2014, ore 11:00 precise Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9 - Sala Consiglio 7° piano |
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Abstract
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Optimal control theory is an active area of research in both mathematics and engineering sciences. Still, many mathematically challenging problems related to second order optimality conditions remain open, mostly because the structural properties of control systems do not fit well the framework of contemporary optimization literature. In this talk I will discuss second-order necessary optimality conditions in deterministic optimal control from the point of view of second order variational analysis. The new approach introduces second order jets of set valued maps and second order approximations of differential equations and, more generally, control systems and differential inclusions. Then a second order variational differential inclusion leads to a second order Fermat like rule of optimality. In particular, it allows to obtain a new pointwise second order condition verified by the adjoint state of the maximum principle and opens new questions to be investigated. |
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Vincenzo Vespri, Università di Firenze Pointwise estimates for nonnegative solutions to a class of degenerate/singular parabolic equations Venerdì 28 Marzo 2014, ore 15:00 precise Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9 - Aula Consiglio VII piano |
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Paolo Mariano, Università di Firenze Covariance of the second law Lunedì 03 Febbraio 2014, ore 17:00 precise Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9 - Aula Consiglio VII piano |
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VASUDEVAN SRINIVAS, School of Mathematics, Tata Institute of Fundamental Research, Mumbai ALGEBRAIC VERSUS TOPOLOGICAL ENTROPY FOR SURFACES OVER FINITE FIELDS Lunedì 09 Dicembre 2013, ore 17:00 Dipartimento di Matematica, Università di Milano, Via Saldini |
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NGÔ BẢO CHÂU, The University of Chicago ARITHMETIC OF SOME INTEGRABLE SYSTEM Lunedì 28 Ottobre 2013, ore 16:30 Università di Milano, Dipartimento di Matematica, Via Saldini | |
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EDWARD WITTEN, Institute for Advanced Study, Princeton A NEW LOOK AT THE JONES POLYNOMIAL OF A KNOT Lunedì 14 Ottobre 2013, ore 16:30 Università di Milano, Dipartimento di Matematica, Via Saldini | |
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