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

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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… Click to show full 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.

Keywords: discrete time; class nonlinear; nonlinear discrete; guaranteed cost; cost control; cost

Journal Title: IEEE Access
Year Published: 2019

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