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Optimality Conditions for Nonlinear Control Problems with State Constraints

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Lunedi' 19 Gennaio 2009 alle ore 11 in aula 2BC/30 TA, Piernicola Bettiol (Imperial College, Londra) terra' un seminario dal titolo "Optimality Conditions for Nonlinear Control Problems with State Constraints".

-Abstract
The talk will review the field of optimality conditions for optimal control problems with state constraints. In particular it will describe the challenges of extending the classical Pontryagin Maximum
Principle (that provided the necessary conditions for optimality) to allow for state constraints and the 'nonsmooth' calculus techniques that have been developed to overcome them. It will also cover the emerging literature on state constrained optimal control, concerning conditions for normality (i.e. conditions under which the Maximum Principle to yield's nontrivial information about minimizers) and on
sensitivity relations' (interpretations of co-state arcs in terms of gradients of the cost-to-go function).
(Reference: joint work with R. Vinter)

Rif. int. M. Bardi, G. Colombo, F. Rampazzo, A. Cesaroni

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