Improved delay-dependent stability criteria for networked control systems via discrete Wirtinger-based inequality

This paper introduces a discrete Wirtinger-based inequality to investigate the problem of delay-dependent stability analysis of networked control systems. Firstly, a discrete-time system with an interval time-varying delay is used to describe networked control systems with quality-of-service constraints. Then, by constructing a novel augmented Lyapunov-Krasovskii functional and applying the discrete Wirtinger-based inequality and reciprocally convex approach to deal with the sum items in the derivation of the results, two delay-dependent stability criteria are obtained in terms of linear matrix inequalities (LMIs). Numerical examples are provided to show that the derived stability criteria can provide a larger allowable upper delay bound than some existing results while depending on less scalar decision variables.

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