Helene Frankowska, Université Pierre et Marie Curie (Paris 6)
Second order necessary optimality condistions in optimal control
Tuesday, April 15 2014, at 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
Friday, March 28 2014, at 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
Monday, February 03 2014, at 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
Monday, December 09 2013, at 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
Monday, October 28 2013, at 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
Monday, October 14 2013, at 16:30
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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