Boundary control of retarded parabolic systems

• Autorzy: Krakowiak A.
• Języki publikacji: EN

Abstrakty

EN

Optimal boundary control problems for distributed parabolic systems in which retarded arguments appear in the integral form in the state equations are presented. Necessary and sufficient conditions of optimality are derived for the non-homogeneous Dirichlet problem. A simple example of application is also provided.

Słowa kluczowe

EN

boundary control; retarded argument; parabolic system

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2011
• Tom: Vol. 40, no 1
• Strony: 9--23
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Krakowiak A.

• Institute of Mathematics, Technical University of Cracow, ul. Warszawska 24, 31-155 Cracow, Poland,

Bibliografia

• GILBERT, E.S. (1966) An iterative procedure for computing the minimum of a quadratic form on a convex set. SIAM J. Control, 4, 61-80.
• KOWALEWSKI, A. and DUDA, J. (1992) On some optimal control problem for a parabolic system with boundary condition involving a time-varying lag. IMA J. Math. Control Inf., 9, 131-146.
• KOWALEWSKI, A. and KRAKOWIAK, A. (2001) Boundary control of retarded parabolic systems with the non-homogeneous Dirichlet boundary conditions. IMA J. Math. Control Inf., 18, 381-393.
• LlONS, J.L. (1971) Optimal Control of Systems Governed by Partial Differential Equations. Springer, Berlin.
• LIONS, J.L.and MAGENES, E. (1972) Non-Homogeneous Boundary Yalue Problems and Applications, Vols 1 and 2. Springer, Berlin.
• MALANOWSKI, K. (1974) Some Applications of Fourier Method to Optimal Control Problems for Systems Described by Partial Differential Equations. Papers of the Institute of Organization and Management, Series B, Bulletin No. 3, Warsaw.