Stability Analysis of TS Fuzzy System with State-Dependent Impulses

Yang, Shiju; Li, Chuandong; Huang, Tingwen; Ahmad, Hafiz Gulfam

doi:10.1007/s11063-017-9657-8

Cited by 4 publications

(24 citation statements)

References 36 publications

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“…Many classic and meaningful articles on T‐S fuzzy systems have been published 32‐38 . Lots of results are on continuous systems, and few results are on T‐S fuzzy impulsive systems 39‐42 . Zhang et al 39 provided a new idea about fuzzy system via impulsive control.…”

Section: Introductionmentioning

confidence: 99%

“…However, we find that fixed‐time impulses have been considered in lots of the T‐S fuzzy impulsive systems while few results have considered variable‐time impulses. Yang et al 42 firstly investigated the T‐S fuzzy variable‐time impulsive system, and some sufficient conditions are obtained. However, the system considered in Reference 42 was the T‐S fuzzy linear system with variable‐time impulses.…”

Section: Introductionmentioning

confidence: 99%

“…Yang et al 42 firstly investigated the T‐S fuzzy variable‐time impulsive system, and some sufficient conditions are obtained. However, the system considered in Reference 42 was the T‐S fuzzy linear system with variable‐time impulses.…”

Section: Introductionmentioning

confidence: 99%

“…A new T‐S FSDNs model is proposed by considering random uncertainties. The newly proposed T‐S FSDNs is more general than linear systems which has been studied in many literatures 39‐42 . Furthermore, the hybrid controller is designed to investigate the exponential stabilization of F‐S FSDNs, which involves the state‐dependent impulsive control and the T‐S fuzzy control. Sufficient conditions, which guarantee that each solution of the system meet each surface exactly once, are obtained. We improve the sufficient conditions for the stability of T‐S fuzzy linear variable‐time impulsive system and reduce the conservatism. Based on inequality techniques and comparison principle, some meaningful results are obtained to guarantee the mean square exponential stability of the T‐S FSDNs. …”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Robust exponential stabilization of stochastic coupled T‐S fuzzy complex networks subject to state‐dependent impulsive control

Cao

Zhang

et al. 2023

Intl J Robust & Nonlinear

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The problem of robust exponential stabilization for T-S fuzzy stochastic dynamical networks (T-S FSDNs) based on the state-dependent impulsive controller is investigated in the paper. Using B-equivalence approach, some sufficient conditions are provided such that every solution of considered systems intersects each impulsive surface exactly once. Then, combining with the inequality technique and comparison principle, some meaningful sufficient criteria are obtained to ensure the mean square stability of T-S fuzzy stochastic dynamical networks.Compared to related results, the results obtained in the paper are low conservatism and easy to verify. Finally, two numerical simulations based on Rössler's system and Lorenz system show the effectiveness of the obtained theoretical results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Robust exponential stabilization of stochastic coupled T‐S fuzzy complex networks subject to state‐dependent impulsive control

Cao

Zhang

et al. 2023

Intl J Robust & Nonlinear

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Asymptotic stability of non‐instantaneous impulsive systems and T‐S fuzzy non‐instantaneous impulsive control for nonlinear systems

Deng

Wang

2023

IET Control Theory & Appl

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This paper studies the asymptotic stability for a class of non‐instantaneous impulsive systems and Takagi‐Sugeno (T‐S) fuzzy non‐instantaneous impulsive control for linear and nonlinear systems. First, a class of concrete comparison system for a more accurate and universal nonlinear non‐instantaneous impulsive model is constructed. Then, the less conservative sufficient conditions of Lyapunov asymptotic stability are studied by impulsive differential inequalities and generalized comparison principle. On the other hand, an improved non‐instantaneous impulsive control scheme with T‐S fuzzy model is also presented for the asymptotic stability of the nonlinear systems. Finally, simulation results on controlling a linear and a nonlinear system are presented to illustrate the rationality and effectiveness of the obtained results.

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A Novel Step-Function Method for Stability Analysis of T–S Fuzzy Impulsive Systems

Qiu

2022

IEEE Trans. Fuzzy Syst.

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Stability Analysis of TS Fuzzy System with State-Dependent Impulses

Cited by 4 publications

References 36 publications

Robust exponential stabilization of stochastic coupled T‐S fuzzy complex networks subject to state‐dependent impulsive control

Robust exponential stabilization of stochastic coupled T‐S fuzzy complex networks subject to state‐dependent impulsive control

Asymptotic stability of non‐instantaneous impulsive systems and T‐S fuzzy non‐instantaneous impulsive control for nonlinear systems

A Novel Step-Function Method for Stability Analysis of T–S Fuzzy Impulsive Systems

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