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Guaranteed Cost Control for a Class of Nonlinear Discrete Time-Delay Systems

Lanhui Zhang, Yu Xue, Xin Wang and 1 more

IEEE Access · 2019

doi:10.1109/access.2019.2939231 (opens in a new tab)

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Abstract

The guaranteed cost control problem for a class of nonlinear discrete time-delay systems is investigated. Based on the Lyapunov matrix, a complete-type Lyapunov-Krasovskii functional is constructed. Thereby, the Lyapunov stability theory is employed to design the exact form of the controller to ensure that the resultant closed-loop system is asymptotically stable and the cost function is bounded. A numerical example is presented to illustrate the usefulness of the theoretical results.

Abstract licence: CC BY-NC-ND

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