A delay-dependent approach to robust passivity analysis for takagi-sugeno fuzzy uncertain recurrent neural networks with mixed interval time-varying delays

K. H. Tseng, J. S.H. Tsai, Chien-Yu Lu

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1 Citation (Scopus)

Abstract

This paper deals with the passivity analysis problem for Takagu-Sugeno (T-S) fuzzy neural networks with mixed interval time-varying delays and uncertain parameters. The time delays comprise discrete and distributed interval time-varying delays and the uncertain parameters are norm-bounded. Delay-dependent sufficient conditions for the passivity problem are obtained by using Lyapunov-Krasovskii functional approach and linear matrix inequality (LMI) technique. The important feature of the results lies in that it does not make use of upper bounds to introduce some degree of conservativeness. Two illustrative examples are exploited in order to illustrate the effectiveness of the proposed design procedures.

Original languageEnglish
Pages (from-to)415-433
Number of pages19
JournalInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Volume21
Issue number3
DOIs
Publication statusPublished - 2013 Jun 1

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Recurrent neural networks
Fuzzy neural networks
Linear matrix inequalities
Time delay

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Systems Engineering
  • Information Systems
  • Artificial Intelligence

Cite this

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AB - This paper deals with the passivity analysis problem for Takagu-Sugeno (T-S) fuzzy neural networks with mixed interval time-varying delays and uncertain parameters. The time delays comprise discrete and distributed interval time-varying delays and the uncertain parameters are norm-bounded. Delay-dependent sufficient conditions for the passivity problem are obtained by using Lyapunov-Krasovskii functional approach and linear matrix inequality (LMI) technique. The important feature of the results lies in that it does not make use of upper bounds to introduce some degree of conservativeness. Two illustrative examples are exploited in order to illustrate the effectiveness of the proposed design procedures.

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