About the stability of Takagi–Sugeno uncertain singularly perturbed systems. The case of stable subsystems

1Khoroshun, AS
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2014, 4:64-69
Section: Mechanics
Language: Russian

The sufficient conditions of the asymptotic stability of a fuzzy model with parametric uncertainties are established. An appropriate scalar Lyapunov function is built. The region in the space of parameters, for which the mentioned type of stability holds, is found.

Keywords: Takagi–Sugeno singularly perturbed systemsб stable subsystems

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