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

Authors

  • A. S. Khoroshun

DOI:

https://doi.org/10.15407/dopovidi2014.04.064

Keywords:

Takagi–Sugeno singularly perturbed systemsб stable subsystems

Abstract

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.

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References

Trotsenko Yu. V. Probl. dynamiki ta stiikosti bagatovymirnykh system, 2011, 8, No. 2: 258–275 (in Russian). https://doi.org/10.1109/TSMC.1985.6313399

Mikishev G. N., Rabinovich B. I. Dynamics of thin-walled structures with compartments containing liquid. Moscow: Mashynostroenie, 1971 (in Russian).

Rabinovich B. I., Shmakov V. P., Kobychkin V. S. Issledovaniia po teorii sooruzhenii, 1970, No. 18: 68–84 (in Russian).

Trotsenko V. A., Trotsenko Yu. V. Akust. visnyk, 2010, 13, No. 3: 51–67 (in Russian). https://doi.org/10.1109/TSP.2004.827182

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Published

17.02.2025

How to Cite

Khoroshun, A. S. (2025). About the stability of Takagi–Sugeno uncertain singularly perturbed systems. The case of stable subsystems . Reports of the National Academy of Sciences of Ukraine, (4), 64–69. https://doi.org/10.15407/dopovidi2014.04.064

Issue

No. 4 (2014): Reports of the National Academy of Sciences of Ukraine

Section

Mechanics

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