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Approaches to the analysis of stability of dynamic TS-systems on the basis of quadratic, piecewise quadratic and fuzzy Lyapunov functions

Keywords:

V.I. Afanasyeva – Ph.D. (Phys.-Math.), Associate Professor, Russian Aviation Technology University named after K.E. Tsiolkovsky MATI, Moscow Aviation Institute (National Research University) E-mail: tualpin@list.ru О.V. Druzhinina – Dr.Sc. (Phys.-Math.), Professor, Chief Researcher, Federal Research Centre «Information and Control» of the Russian Academy of Sciences E-mail: ovdruzh@mail.ru S.N. Petrova – Ph.D. (Pedagogical), Associate Professor, Ural State Economical University, Technical University UMMC E-mail: axial_120@mail.ru


Approaches to the analysis of stability of Takagi–Sugeno systems (TS-systems), on the basis of quadratic, piecewise quadratic and fuzzy functions of Lyapunov are characterized. The review of results on stability of the models described by means of TS-systems is submitted. The perspectives of use of functions of Lyapunov for a research of qualitative behavior of the specified systems in problems of design and development of complex technical systems incloding electronic system are described.
References:

 

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