Qualitative analysis of singularly perturbed Takagi-Sugeno systems: the case of unstable subsystems

DOI10.1007/s12591-014-0202-1zbMath1327.34088OpenAlexW1979644981MaRDI QIDQ745990

Anatoly Martynyuk, A. S. Khoroshun

Publication date: 15 October 2015

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-014-0202-1

zbMATH Keywords

asymptotic stabilitymatrix-valued Lyapunov functionsingularly perturbed Takagi-Sugeno system

Mathematics Subject Classification ID

Fuzzy control/observation systems (93C42) Lyapunov and storage functions (93D30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Fuzzy ordinary differential equations (34A07)

Related Items (1)

Control of Takagi-Sugeno fuzzy fast/slow systems

Cites Work

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• Large scale systems stability under structural and singular perturbations
• Analysis and simulation of chaotic systems
• Uniform asymptotic stability of a singularly perturbed system via the Lyapunov matrix-function
• <tex>$cal H_infty$</tex>Filtering for Fuzzy Singularly Perturbed Systems with Pole Placement Constraints: An LMI Approach

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