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

Archives of Control Sciences

Kowalewski Adam¹ 

[1] AGH University of Science and Technology, Institute of Automatics and Biomedical Engineering, 30-059 Cracow, al.Mickiewicza 30, Poland;

关键词: distributed control;    parabolic system;    time lags;    pointwise observation;   

DOI  :  10.1515/acsc-2017-0005

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown