Stabilization control for a class of complicated distributed time-delay systems with adaptation regard to delay parameter

This paper addresses the problem on stabilization for a class of complicated distributed time-delay systems. The distributed form is bounded with a time-varying function, and the distributed time-delay under consideration is assumed to be a constant time-delay, but not known precisely. A stabilization method is proposed for a dynamic memory Proportional and Integral (PI) feedback controller with adaptation to distributed time-delay. The controller can be derived by solving a set of dynamic linear matrix inequalities (LMIs).