Optimality properties of controls with bang-bang components in problems with semilinear state equation

• Autorzy: Felgenhauer U.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study optimal control problems with bang-bang solution behavior for a special class of semilinear dynamics. Generalizing a former result for linear systems, optimlity conditions are derived by a duality based approach. The results apply for scalar as well as for vector control functions and, in particular, for the case of the so-called multiple switches, too. Further, an iterative procedure for determining switching points is proposed, and convergence results are provided.

Słowa kluczowe

EN

optimality conditions; Riccati equation; bang-bang control; switching points optimization; sensitivity

PL

warunki optymalności; równanie Riccatiego; sterowanie przekaźnikowe; czułość

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 3
• Strony: 763--785
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Felgenhauer U.

• Brandenburgische Technische Universitat Cottbus, Institut fur Mathematik PF 101344, 03013 Cottbus, Germany

Bibliografia

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