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

Journal title

Archives of Control Sciences




No 1

Publication authors

Divisions of PAS

Nauki Techniczne


<jats:title>Abstract</jats:title> <jats:p> 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.</jats:p>


Committee of Automatic Control and Robotics PAS




ISSN 1230-2384


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