Pointwise observation of the state given by parabolic system with boundary condition involving multiple time delays

• Autorzy: Kowalewski A.

Identyfikatory

DOI

10.1515/acsc-2016-0011

• Języki publikacji: EN

Abstrakty

EN

Various optimization problems for linear parabolic systems with multiple constant time delays are considered. In this paper, we consider an optimal distributed control problem for a linear parabolic system in which multiple constant time delays appear in the Neumann boundary condition. Sufficient conditions for the existence of a unique solution of the parabolic equation with the Neumann boundary condition involving multiple time delays are proved. The time horizon T is fixed. Making use of the Lions scheme [13], necessary and sufficient conditions of optimality for the Neumann problem with the quadratic cost function with pointwise observation of the state and constrained control are derived.

Słowa kluczowe

EN

distributed control; parabolic system; time delays; pointwise observation

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2016
• Tom: Vol. 26, no. 2
• Strony: 189--197
• Opis fizyczny: Bibliogr. 16 poz., wzory

Twórcy

autor

Kowalewski A.

• AGH University of Science and Technology, Institute of Automatics and Biomedical Engineering, 30-059 Cracow, al. Mickiewicza 30, Poland

Bibliografia

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• [13] J. L. Lions: Optimal control of systems governed by partial differential equations. Springer-Verlag, Berlin-Heidelberg, 1971.
• [14] J. L. Lions and E. Magenes: Non-homogeneous boundary value problems and applications. 1 and 2, Springer-Verlag, Berlin-Heidelberg, 1972.
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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę