New LMI Criterion to the Robust Stability of Discrete-Time Systems with Time-Varying Delays and Generalized Overflow Nonlinearities

作者: Pushpendra Kumar Gupta , V. Krishna Rao Kandanvli

DOI: 10.1007/978-981-15-6840-4_17

关键词: ReciprocalLemma (mathematics)Control theoryState (functional analysis)Computer scienceRegular polygonDecision variablesStability (learning theory)Discrete time and continuous timeLinear matrix inequality

摘要: This paper handles the problem of robust stability discrete-time systems under influence generalized overflow nonlinearities and time-varying state delays. The consideration involve norm-bounded parameter uncertainties. By using Lyapunov–Krasovskii functional, a new delay-dependent criterion based on LMI for is presented where Wirtinger-based inequalities reciprocal convex lemma are succeedingly employed. in this employs less number decision variables than previously without affecting conservativeness. Illustrative example also given to prove efficacy criterion.

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