Stability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations

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Naseh David; PARIZ NASER; VAHIDIAN KAMYAD ALI

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Journal: Journal of Control Year:2019 | Volume:13 | Issue:3 Page(s): 41-50

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Title

Stability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations

Author(s)

Naseh David | PARIZ NASER | VAHIDIAN KAMYAD ALI | Issue Writer Certificate

Keywords

fuzzy differential systemQ1

nonlinear hybrid systemQ1

vector Lyapunov-like functionQ1

time delayQ2

Abstract

In this paper we introduce some stability criteria of nonlinear hybrid systems with time delay described by impulsive hybrid fuzzy system of differential equations. Firstly, a comparison principle for fuzzy differential system based on a notion of upper quasi-monotone nondecreasing is presented. Here, for stability analysis of fuzzy dynamical systems, vector Lyapunov-like functions are defined. Then, by using these functions together with the new comparison theorem, we will get results for some concepts of stability (eventual stability, asymptotic stability, strong stability and uniform stability) for impulsive hybrid fuzzy delay differential systems. Furthermore, theorems for practical stability in terms of two measures are introduced and are proved. Finally, an illustrating example for stability checking of a differential system with fuzziness and time delay is given. Then, by introducing an applied example in Pharmacokinetics, we bridge theoretical concepts to the application of research in real world.

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APA: Copy

Naseh, David, PARIZ, NASER, & VAHIDIAN KAMYAD, ALI. (2019). Stability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations. JOURNAL OF CONTROL, 13(3 ), 41-50. SID. https://sid.ir/paper/120759/en

Vancouver: Copy

Naseh David, PARIZ NASER, VAHIDIAN KAMYAD ALI. Stability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations. JOURNAL OF CONTROL[Internet]. 2019;13(3 ):41-50. Available from: https://sid.ir/paper/120759/en

IEEE: Copy

David Naseh, NASER PARIZ, and ALI VAHIDIAN KAMYAD, “Stability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations,” JOURNAL OF CONTROL, vol. 13, no. 3 , pp. 41–50, 2019, [Online]. Available: https://sid.ir/paper/120759/en

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