Szczegóły publikacji
Opis bibliograficzny
Optimal control via initial conditions of infinite order hyperbolic systems with the Neumann boundary conditions / Adam KOWALEWSKI // W: MMAR 2014 : 19th international conference on Methods and Models in Automation and Robotics : 02–05 September 2014, Międzyzdroje, Poland : program, abstracts, proceedings (CD). — Szczecin : Przedsiębiorstwo Produkcyjno-Handlowe ZAPOL Dmochowski, Sobczyk Sp.j., [2014] + CD. — Opis częśc. wg. okł. — ISBN: 978-83-7518-697-0. — S. 65. — Pełny tekst na dołączonym CD-ROMie. — S. 504–507. — Wymagania systemowe: Adobe Reader ; napęd CD-ROM. — Bibliogr. s. 506–506, Abstr. — ISBN 978-1-4799-5082-9 ; dod. ISBN 978-1-4799-5081-2
Autor
Dane bibliometryczne
ID BaDAP | 84650 |
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Data dodania do BaDAP | 2014-10-27 |
DOI | 10.1109/MMAR.2014.6957405 |
Rok publikacji | 2014 |
Typ publikacji | materiały konferencyjne (aut.) |
Otwarty dostęp | |
Konferencja | 19th international conference on Methods and Models in Automation and Robotics |
Abstract
Various optimization problems associated with the optimal control of second order time delay hyperbolic systems have been studied in [5], [6], [7], [8], [9] and [10] respectively. In this paper, we consider an optimal control problem for a linear infinite order hyperbolic system. 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 T is fixed. Finally, we impose some constraints on the control. Making use of the Lions scheme ([12]), necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functional and constrained control are derived.