Optimal control of constrained delay-differential inclusions with multivalued initial conditions

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

Abstrakty

EN

This paper studies a general optimal control problem for nonconvex delay-differential inclusions with endpoint constraints. In contrast to previous publications on this topic, we incorporate time-dependent set constraints on the initial interval, which are specific for systems with delays and provide an additional source for optimization. Our variational analysis is based on well-posed discrete approximations of constrained delay-differential inclusions by a family of time-delayed systems with discrete dynamics and perturbed constraints. Using convergence results for discrete approximations and advanced tools of nonsmooth variational analysis, we derive necessary optimality conditions for constrained delay-differential inclusions in both Euler-Lagrange and Hamiltonian forms involving nonconvex generalized differential constructions for nonsmooth functions, sets, and set-valued mappings.

Słowa kluczowe

EN

delay-differential inclusions; discrete approximations; necessary optimality conditions; variational analysis; stability; nonsmooth optimization; generalized differentiation

PL

dyskretna aproksymacja; warunek konieczny optymalności; analiza wariacyjna; stabilność; optymalizacja niegładka; różniczkowanie uogólnione

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2003
• Tom: Vol. 32, no 3
• Strony: 585--609
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Mordukhovich B. S.

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

autor

Wang L.

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

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