Optimal control problem for infinite variables hyperbolic systems with time lags

• Autorzy: Bahaa G. M. , Tharwat M. M.
• Języki publikacji: EN

Abstrakty

EN

In this paper, by using the theorems of [Lions (1971) and Lions & Magenes (1972)], the optimal control problem for distributed hyperbolic systems, involving second order operator with an infinite number of variables, in which constant lags appear both in the state equations and in the boundary conditions is considered. The optimality conditions for Neumann boundary conditions are obtained and the set of inequalities that characterize these conditions is formulated. Also, several mathematical examples for derived optimality conditions are presented. Finally, we consider an optimal distributed control problem for (n x n)-infinite variables hyperbolic systems.

Słowa kluczowe

EN

optimal control; hyperbolic system; time delay; distributed control problems; Neumann conditions; existence and uniqueness of solutions; second order operator with an infinite number of variables

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2011
• Tom: Vol. 21, no. 4
• Strony: 373--393
• Opis fizyczny: Bibliogr. 37 poz., wzory

Twórcy

autor

Bahaa G. M.

autor

Tharwat M. M.

• Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia,

Bibliografia

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