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Sufficient conditions for optimal control problems with time delay. (English) Zbl 0843.49020

Summary: Various first-order and second-order sufficient conditions of optimality for nonlinear optimal control problems with delayed argument are formulated. The functions involved are not required to be convex. Second-order sufficient conditions are shown to be related to the existence of solutions of a Riccati-type matrix differential inequality. Their relation with the second variation is discussed.

MSC:

49K25 Optimal control problems with equations with ret.arguments (nec.) (MSC2000)
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