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An Improved Criterion for the Global Asymptotic Stability of 2-D Discrete State-Delayed Systems with Saturation Nonlinearities

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Abstract

This paper investigates the global asymptotic stability of two-dimensional discrete state-delayed systems described by the Fornasini-Marchesini second local state-space model employing saturation nonlinearities. The structural properties of the multiple saturation nonlinearities in a greater detail are taken into account. Consequently, an improved delay-dependent stability criterion is obtained which is expressed in terms of linear matrix inequalities. The criterion is compared with a previously reported criterion. Finally, numerical examples are given to illustrate the usefulness of the proposed result.

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Acknowledgments

The author wishes to thank the Editor and the anonymous reviewers for their constructive comments and suggestions.

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Authors and Affiliations

  1. Department of Electronics Engineering, Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram, Chennai, 600127, India

    Priyanka Kokil

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  1. Priyanka Kokil
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Correspondence to Priyanka Kokil.

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Kokil, P. An Improved Criterion for the Global Asymptotic Stability of 2-D Discrete State-Delayed Systems with Saturation Nonlinearities. Circuits Syst Signal Process 36, 2209–2222 (2017). https://doi.org/10.1007/s00034-016-0397-1

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