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New Criterion for the Stability of Discrete-Time Systems with State Saturation and Time-Varying Delay

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Abstract

The problem of global asymptotic stability analysis of discrete-time systems with state saturation and time-varying delay is investigated in this study. A new sufficient global asymptotic stability criterion is derived with the help of the reciprocal convex lemma and Wirtinger-based inequality for estimating the sum terms in the forward difference of the Lyapunov function. Numerical examples showing the usefulness of the proposed results and comparison with the existing results are also given.

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Acknowledgements

The authors wish to thank the Editor-in-Chief, the Associate Editor and the anonymous Reviewers for their constructive comments and suggestions to improve the manuscript.

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Correspondence to Pushpendra Kumar Gupta.

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Gupta, P.K., Singh, K., Kandanvli, V.K.R. et al. New Criterion for the Stability of Discrete-Time Systems with State Saturation and Time-Varying Delay. J Control Autom Electr Syst 34, 700–708 (2023). https://doi.org/10.1007/s40313-023-01005-5

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  • DOI: https://doi.org/10.1007/s40313-023-01005-5

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