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Exponential Stability Criteria for Positive Systems with Time-Varying Delay: A Delay Decomposition Technique

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Abstract

This paper is concerned with exponential stability analysis for linear continuous positive systems with bounded time-varying delay. Our approach is based on Lyapunov–Krasovskii functional with delay decomposition. The main idea is to divide uniformly the discrete delay interval into multiple segments and then to choose proper functionals with different weighted matrices corresponding to different segments. The synthesis of our delay-dependent sufficient stability criteria is formulated in terms of linear matrix inequalities. The proposed results are shown to be less conservative compared to other results from the literature. Some illustrative examples are given to show the effectiveness of the obtained results.

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Authors and Affiliations

  1. Lab-STA, National School of Engineering of Sfax, University of Sfax, PB 1173, 3038, Sfax, Tunisia

    W. Elloumi & M. Chaabane

  2. Université de Poitiers, LIAS-ENSIP 2 Rue Pierre Brousse-bt. B25 TSA 41105, 86073, Poitiers Cedex 9, France

    D. Mehdi

  3. Computer Science Department, Cihan University, Erbil, Iraq

    G. Hashim

Authors
  1. W. Elloumi
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  2. D. Mehdi
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  3. M. Chaabane
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  4. G. Hashim
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Correspondence to W. Elloumi.

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Elloumi, W., Mehdi, D., Chaabane, M. et al. Exponential Stability Criteria for Positive Systems with Time-Varying Delay: A Delay Decomposition Technique. Circuits Syst Signal Process 35, 1545–1561 (2016). https://doi.org/10.1007/s00034-015-0121-6

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  • DOI: https://doi.org/10.1007/s00034-015-0121-6

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