Robust Stability Criterion for Discrete‐Time Nonlinear Switched Systems with Randomly Occurring Delays via T–S Fuzzy Approach

Abstract

This article investigates exponential stability of uncertain discrete‐time nonlinear switched systems with parameter uncertainties and randomly occurring delays via Takagi–Sugeno fuzzy approach. The randomness of time‐varying delay is characterized by introducing a Bernoulli stochastic variable that follows certain probability distribution. By adopting the average dwell‐time approach with Lyapunov–Krasovskii functional and using convex reciprocal lemma, delay‐dependent sufficient conditions for exponential stability of the switched fuzzy system are derived in terms of linear matrix inequalities (LMIs), which can be solved readily using any LMI solvers. Finally, illustrative examples are provided to demonstrate the effectiveness of the proposed approach. © 2014 Wiley Periodicals, Inc. Complexity 20: 49–61, 2015

Finite‐time stability and boundedness of switched nonlinear time‐delay systems under state‐dependent switching

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Stabilization for a class of nonlinear networked control systems via polynomial fuzzy model approach

“…Conversely, Takagi‐Sugeno (T‐S) fuzzy model‐based approaches have received great attention in the literature for modeling nonlinear systems . Moreover, the methods have been introduced into the stability analysis and controller synthesis of nonlinear NCSs .…”

“…An approach of dynamic output-feedback control for linear NCSs was presented in [12]. In [13], the stabilization problem of linear discrete-time NCSs was elaborated via a static outputfeedback controller.Conversely, Takagi-Sugeno (T-S) fuzzy model-based approaches have received great attention in the literature for modeling nonlinear systems [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. Moreover, the…”

Robust dissipativity and passivity analysis for discrete‐time stochastic neural networks with time‐varying delay

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