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New Relaxed Stability Conditions for Uncertain Two-Dimensional Discrete Systems

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Abstract

This paper is concerned with the problem of robust stability of uncertain two-dimensional (2-D) discrete systems described by the Roesser model with polytopic uncertain parameters. Based on a newly developed parameter-dependent Lyapunov–Krasovski functional combined with Finsler’s lemma, new sufficient conditions for robust stability analysis are derived in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness and less conservatism of the proposed results.

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Authors and Affiliations

  1. Engineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, BP 72, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco

    Khalid Badie, Mohammed Alfidi & Zakaria Chalh

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  1. Khalid Badie
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  2. Mohammed Alfidi
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  3. Zakaria Chalh
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Correspondence to Zakaria Chalh.

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Badie, K., Alfidi, M. & Chalh, Z. New Relaxed Stability Conditions for Uncertain Two-Dimensional Discrete Systems. J Control Autom Electr Syst 29, 661–669 (2018). https://doi.org/10.1007/s40313-018-0412-9

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  • DOI: https://doi.org/10.1007/s40313-018-0412-9

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