Structural stability of optimal control problems

M'hamed Kesri

doi:10.3934/cpaa.2005.4.743

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2005, Volume 4, Issue 4: 743-756. Doi: 10.3934/cpaa.2005.4.743

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Structural stability of optimal control problems

M'hamed Kesri^1,

1.
Faculté des Mathématiques, Université USTHB Alger, Algérie

Received: September 30, 2004

Revised: March 31, 2005

Published: November 2005

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Abstract

In this article, we prove that solutions for a class of optimal control problems we study, defined "in a less restrictive sense then usual" a dynamical system such that every state which is optimal is a sink and between every pair of sinks there is a unique source at least generically. The corresponding problem is shown to be structurally stable.

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Mathematics Subject Classification: 49J15, 49K15.

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