The shooting approach in analyzing bang-bang extremals with simultaneous control switches

• Autorzy: Felgenhauer U.
• Języki publikacji: EN

Abstrakty

EN

The paper is devoted to stability investigation of optimal structure and switching points position for parametric bang-bang control problem with special focus on simultaneous switches of two control components. In contrast to problems where only simple switches occur, the switching points in general are no longer differentiable functions of input parameters. Conditions for Lipschitz stability are found which generalize known sufficient optimality conditions to nonsmooth situation. The analysis makes use of backward shooting representation of extremals, and of generalized implicit function theorems. The Lipschitz properties are illustrated for an example by constructing backward parameterized family of extremals and providing first-order switching points prediction.

Słowa kluczowe

EN

bang-bang control; Lipschitz stability in optimal control; nonsmooth optimization; shooting type methods

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2008
• Tom: Vol. 37, no 2
• Strony: 307--327
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Felgenhauer U.

• Brandenburgische Technische Universitat Cottbus Institut fur Angewandte Mathematik und Wissenschaftliches Rechnen, PF 101344, 03013 Cottbus, Germany,

Bibliografia

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