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Passivity Criterion of Stochastic T-S Fuzzy Systems with Time-Varying Delays

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7951)

Abstract

In this paper, the passivity for stochastic Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated without assuming the differentiability of the time-varying delays. By utilizing the Lyapunov functional method, the It\(\hat{o}\) differential rule and the matrix inequality techniques, a delay-dependent criterion to ensure the passivity for T-S fuzzy systems with time-varying delays is established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software.

Keywords

  • T-S fuzzy systems
  • Passivity
  • Time-varying delays
  • Stochastic disturbance

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Zhao, Z., Song, Q. (2013). Passivity Criterion of Stochastic T-S Fuzzy Systems with Time-Varying Delays. In: Guo, C., Hou, ZG., Zeng, Z. (eds) Advances in Neural Networks – ISNN 2013. ISNN 2013. Lecture Notes in Computer Science, vol 7951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39065-4_18

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  • DOI: https://doi.org/10.1007/978-3-642-39065-4_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39064-7

  • Online ISBN: 978-3-642-39065-4

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