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Optimal control of time-delay systems with the exponential decay performance

The suboptimal control problem for the system with state time-delay is studied in this paper. First, According to the performance of exponential decay we make a transformation of original optimal control problem. We can convert the original optimal problem into a two point boundary value (TPBV) problem with no time-delay through introducing a sensitivity parameter. Then, we can obtain the optimal control law by summing an infinite series. The feasibility of the method is verified by experiment simulation. And the experimental result can reach our anticipated effects.