Szczegóły publikacji
Opis bibliograficzny
Optimal control via initial conditions of a time delay hyperbolic system with the Neumann boundary condition / Adam KOWALEWSKI // W: MMAR 2013 : 18th international conference on Methods and Models in Automation and Robotics : 26–29 August 2013, Międzyzdroje, Poland : program, abstracts, proceedings (CD). — Szczecin : West Pomeranian University of Technology. Faculty of Electrical Engineering, [2013] + CD. — Opis częśc. wg. okł. — ISBN: 978-83-7518-593-5. — S. 64–65, B2L-B. — Pełny tekst na dołączonym CD-ROMie. — S. 471–474. — Wymagania systemowe: Adobe Reader ; napęd CD-ROM. — Bibliogr. s. 474, Abstr. — ISBN 978-1-4673-5507-0. — Toż: ISBN 978-1-4673-5508-7
Autor
Dane bibliometryczne
| ID BaDAP | 75895 |
|---|---|
| Data dodania do BaDAP | 2013-09-27 |
| Rok publikacji | 2013 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp |  |
| Konferencja | International Conference on Methods and Models in Automation and Robotics 2013 |
Abstract
Various optimization problems associated with the optimal control of distributed hyperbolic systems with time delays appearing in the boundary conditions have been studied recently in Refs. [2] - [7] respectively. In this paper, we consider an optimal control problem for a linear hyperbolic system in which multiple time delays appear in the state equation. The initial conditions are given by control functions. Sufficient conditions for the existence of a unique solution of such hyperbolic equations with the Neumann boundary conditions are presented. The performance functional has the quadratic form. The time horizon.. is fixed. Finally, we impose some constraints on the control. Making use of the Lions scheme [8], necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functional and constrained control are derived.
