Pointwise observation of the state given by complex time lag parabolic system

• Autorzy: Kowalewski A.

Identyfikatory

DOI

10.1515/acsc-2017-0005

• Języki publikacji: EN

Abstrakty

EN

Various optimization problems for linear parabolic systems with multiple constant time lags are considered. In this paper, we consider an optimal distributed control problem for a linear complex parabolic system in which different multiple constant time lags appear both in the state equation and in the Neumann boundary condition. Sufficient conditions for the existence of a unique solution of the parabolic time lag equation with the Neumann boundary condition 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 performance functional with pointwise observation of the state and constrained control are derived. The example of application is also provided

Słowa kluczowe

EN

distributed control; parabolic system; time lags; pointwise observation

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2017
• Tom: Vol. 27, no. 1
• Strony: 77--89
• Opis fizyczny: Bibliogr. 17 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 (zadania 2017).