Optimal control of semilinear evolution inclusions via discrete approximations

• Autorzy: Mordukhovich B. S. , Wang D.
• Języki publikacji: EN

Abstrakty

EN

This paper studies a Mayer type optimal control problem with general endpoint constraints for semilinear unbounded evolution inclusions in reflexive and separable Banach spaces. First, we construct a sequence of discrete approximations to the original optimal control problem for evolution inclusions and prove that optimal solutions to discrete approximation problems uniformly converge to a given optimal solution for the original continuous-time problem. Then, based on advanced tools of generalized differentiation, we derive necessary optimality conditions for discrete-time problems under fairly general assumptions. Combining these results with recent achievements of variational analysis in infinite-dimensional spaces, we establish new necessary optimality conditions for constrained continuous-time evolution inclusions by passing to the limit from discrete approximations.

Słowa kluczowe

EN

optimal control; variational analysis; generalized differentiation; semilinear evolution inclusions; discrete approximations; necessary optimality conditions

PL

sterowanie optymalne; analiza wariacyjna; różniczkowanie uogólnione; dyskretna aproksymacja; warunek konieczny optymalności

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 3
• Strony: 849--870
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Mordukhovich B. S.

• Department of Mathematics, Wayne State University Detroit, MI 48202, USA

autor

Wang D.

• Department of Mathematics, Wayne State University Detroit, MI 48202, USA

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