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\(H_{\infty }\) Performance Analysis of 2D Continuous Time-Varying Delay Systems

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Abstract

This paper deals with the problem of \(H_{\infty }\) performance analysis of 2D continuous time-varying delay systems described by Roesser model. Using a simple Lyapunov–Krasovskii functional, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. The obtained result is then extended to the problem of \(H_{\infty }\) performance analysis. Several examples are provided in order to illustrate the effectiveness of our results.

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Acknowledgments

This work was supported by the project MSDOS ANR-13-BS03-0005.

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Authors and Affiliations

  1. Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering, National School of Engineering of Sfax, BP 1173, 3038, Sfax, Tunisia

    Mariem Ghamgui

  2. University of Poitiers, LIAS-ENSIP, Bâtiment B25, 2 rue Pierre Brousse, BP 633, 86022, Poitiers Cedex, France

    Nima Yeganefar, Olivier Bachelier & Driss Mehdi

Authors
  1. Mariem Ghamgui
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  2. Nima Yeganefar
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  3. Olivier Bachelier
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  4. Driss Mehdi
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Correspondence to Driss Mehdi.

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Ghamgui, M., Yeganefar, N., Bachelier, O. et al. \(H_{\infty }\) Performance Analysis of 2D Continuous Time-Varying Delay Systems. Circuits Syst Signal Process 34, 3489–3504 (2015). https://doi.org/10.1007/s00034-015-0016-6

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  • DOI: https://doi.org/10.1007/s00034-015-0016-6

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