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The problem on stabilization for the system with distributed delays is researched. The distributed time-delay under consideration is assumed to be a constant time-delay, but not known exactly. A design method is proposed for a memory proportional and integral (PI) feedback controller with adaptation to distributed time-delay. The feedback controller with memory simultaneously contains the current state and the past distributed information of the addressed systems. The design for adaptation law to distributed delay is very concise. The controller can be derived by solving a set of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the design method.
The problem on stabilization for the system with distributed delays is researched. The distributed time-delay under consideration is assumed to assume a constant time-delay, but not known exactly. A design method is proposed for a memory proportional and integral (PI) feedback The controller for adaptation to distributed time-delay. The controller for be distributed by-addressed. The controller for adaptive to distributed time-delay. of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the design method.