Stability analysis of T–S fuzzy models for nonlinear multiple time-delay interconnected systems

C.W. Chen, W.L. Chiang and F.H. Hsiao

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 66, issue 6, 523-537

Abstract: In this paper, the Takagi–Sugeno (T–S) fuzzy model representation is extended to the stability analysis for nonlinear interconnected systems with multiple time-delays using linear matrix inequality (LMI) theory. In terms of Lyapunov’s direct method for multiple time-delay fuzzy interconnected systems, a novel LMI-based stability criterion which can be solved numerically is proposed. Then, the common P matrix of the criterion is obtained by LMI optimization algorithms to guarantee the asymptotic stability of nonlinear interconnect systems with multiple time-delay. Finally, the proposed stability conditions are demonstrated with simulations throughout this paper.

Keywords: Lyapunov’s theory; Time delay; Fuzzy systems (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:66:y:2004:i:6:p:523-537

DOI: 10.1016/j.matcom.2004.04.001

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