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Robust Stability Analysis of Takagi–Sugeno Fuzzy Nonlinear Singular Systems with Time-Varying Delays Using Delay Decomposition Approach

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Abstract

This paper investigates the problem of robust stability analysis for Takagi–Sugeno fuzzy nonlinear singular systems with time-varying delays. The nonlinear functions are assumed to satisfy the Lipschitz conditions. By constructing Lyapunov–Krasovskii functional with different weighted matrices, sufficient delay-dependent asymptotic stability conditions are expressed in terms of linear matrix inequalities. Further, delay decomposition approach is used to derive less conservative results. The effectiveness of the derived theoretical result is shown through numerical examples.

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Authors and Affiliations

  1. School of Mathematics, Madurai Kamaraj University, Madurai, 625 021, Tamil Nadu, India

    A. Manivannan & S. Muralisankar

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  1. A. Manivannan
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  2. S. Muralisankar
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Correspondence to S. Muralisankar.

Additional information

The work of the authors was supported by National Board for Higher Mathematics, Department of Atomic Energy, Mumbai, under the Grant No. 2/48(8)/2010/R&D-II/11191.

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Manivannan, A., Muralisankar, S. Robust Stability Analysis of Takagi–Sugeno Fuzzy Nonlinear Singular Systems with Time-Varying Delays Using Delay Decomposition Approach. Circuits Syst Signal Process 35, 791–809 (2016). https://doi.org/10.1007/s00034-015-0096-3

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  • DOI: https://doi.org/10.1007/s00034-015-0096-3

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