M'hamed Kesri - Faculté des Mathématiques, Université USTHB Alger, Algérie, Algeria (email)
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.
Keywords: Hamilton-Jacobi-Bellman equation, value function,
optimal control problem, superoptimal, suboptimal,
Received: October 2004; Revised: April 2005; Published: September 2005.
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