@ARTICLE{Kowalewski_Adam_Pointwise_2016, author={Kowalewski, Adam}, number={No 2}, journal={Archives of Control Sciences}, howpublished={online}, year={2016}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={Abstract 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.}, title={Pointwise observation of the state given by parabolic system with boundary condition involving multiple time delays}, URL={http://www.czasopisma.pan.pl/Content/84423/PDF/acsc-2016-0011.pdf}, doi={10.1515/acsc-2016-0011}, }