# American Institute of Mathematical Sciences

December  2005, 4(4): 743-756. doi: 10.3934/cpaa.2005.4.743

## Structural stability of optimal control problems

 1 Faculté des Mathématiques, Université USTHB Alger, Algérie, Algeria

Received  October 2004 Revised  April 2005 Published  September 2005

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.
Citation: M'hamed Kesri. Structural stability of optimal control problems. Communications on Pure & Applied Analysis, 2005, 4 (4) : 743-756. doi: 10.3934/cpaa.2005.4.743
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