Abstract The connectedness of region of asymptotic stability of time-delay systems is proved. We apply this to prove one important property of optimal control of a time-delay system. Namely, we… Click to show full abstract
Abstract The connectedness of region of asymptotic stability of time-delay systems is proved. We apply this to prove one important property of optimal control of a time-delay system. Namely, we have established that the region of asymptotic stability, which corresponds to the optimal control with respect to a functional of a certain type, will be wider than the region of asymptotic stability, corresponding to any admissible control.
               
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