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One Approach for Analysis of Fuzzy Linear Hybrid Automata

Author

Listed:
  • Georgi P. Dimitrov

    (University of Library Studies and Information Technologies, Sofia, Bulgaria)

  • Oleksiy S. Bychkov

    (Taras Shevchenko National University of Kyiv, Ukraine)

  • Pavel S. Petrov

    (University of Economics - Varna)

Abstract

The article deals with the stability of a new class of continuous-discrete systems - fuzzy linear hybrid impulse automata. Sufficient conditions of stability are obtained. Stability and stability resistance on the part of variables are proved. The cases of cyclic are described. Research conducted by the method of Lyapunov’s functions.

Suggested Citation

  • Georgi P. Dimitrov & Oleksiy S. Bychkov & Pavel S. Petrov, 2018. "One Approach for Analysis of Fuzzy Linear Hybrid Automata," Izvestia Journal of the Union of Scientists - Varna. Economic Sciences Series, Union of Scientists - Varna, Economic Sciences Section, vol. 7(2), pages 234-240, November.
    • Handle: RePEc:vra:journl:v:7:y:2018:i:2:p:234-240
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    File URL: http://www.su-varna.org/izdanij/2018/EconomicSciencesSeries_2018_2/234-240.pdf
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    More about this item

    Keywords

    Lyapunov’s method; stability; hybrid automata; L-stability.;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General

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