TY - JOUR N2 - Abstract 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. L1 - http://www.czasopisma.pan.pl/Content/104466/PDF/acsc-2017-0005.pdf L2 - http://www.czasopisma.pan.pl/Content/104466 PY - 2017 IS - No 1 DO - 10.1515/acsc-2017-0005 A1 - Kowalewski, Adam PB - Committee of Automatic Control and Robotics PAS DA - 2017 T1 - Pointwise observation of the state given by complex time lag parabolic system UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/104466 T2 - Archives of Control Sciences ER -