Stability analysis of uncertain impulsive systems via fuzzy differential equations

A. A. Martynyuk, I. M. Stamova and V. A. Chernienko

International Journal of Systems Science, 2020, vol. 51, issue 4, 643-654

Abstract: In this paper, a system of impulsive equations with uncertain parameters is considered. A new approach to study qualitative properties of the solutions of such systems via fuzzy impulsive systems of equations is developed. The new technique is based on a comparison result for the elaborated fuzzy impulsive system. The method of matrix-valued Lyapunov functions is also used. By means of the established new technique, different stability criteria are proposed for the stationary solutions of the systems under consideration. Our results extend the theory and can be applied in the study of other qualitative properties of uncertain impulsive systems.

Date: 2020
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DOI: 10.1080/00207721.2020.1737265

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