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Study of a class of nonlinear perturbed optimal control systems

Akkouchi M., Bounabat A.

Demonstratio Mathematica

2002

Vol. 35, nr 1

139-146

We are concerned in this paper by a general class of nonlinear perturbed optimal control systems. Their study is based on a nonlinear version of Lax-Milgram theorem. For these systems we prove the existence of the (perturbed) states and optimal controls, and study their behaviour. We apply our general results to some perturbed boundary optimal control systems.