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A Property of Optimal Control in Nonlinear Time-Delay Systems

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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.

Keywords: control; time delay; optimal control; delay systems

Journal Title: IFAC-PapersOnLine
Year Published: 2019

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