On the sufficiency of Pontryagin's maximum principle

This work focus on sufficient conditions of optimality for an optimal control problem. A refined maximum principle condition which guarantees weak local optimality of control processes for affine control systems with a polyhedral set of controls is introduced. This refined maximum principle condition expresses that the control is uniquely de- fined for almost all instants of time and the behavior of adjoint variables is rather regular. Several examples are presented to illustrate such suf- ficient condition.

Country

Portugal

Related Organizations

University of Porto
Portugal
University of Minho
Portugal

Keywords

Pontryagin’s maximum principle, Sufficient condition, Ciências Tecnológicas, Matemática, Ciências exactas e naturais::Matemática, Technological sciences, Mathematics, Natural sciences::Mathematics

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