Delay-dependent robust stability and stabilization of uncertain fuzzy descriptor systems with time delay

Abidi, I.; Kchaou, Mourad; Bosche, Jérôme

doi:10.1109/acc.2012.6315472

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“…However, hybrid models of fuzzy differential systems that involve uncertain parameters have been investigated very seldom [28][29][30]. The basic goal of our research is to develop this scientific area.…”

Section: Introductionmentioning

confidence: 99%

On the Analysis of Regularized Fuzzy Systems of Uncertain Differential Equations

Martynyuk,

Stamov,

Stamova

et al. 2023

Entropy

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This article analyzes a regularized set of fuzzy differential equations with respect to an uncertain parameter. We provide sufficient conditions for the correctness of a new regularization scheme. For the resulting family of regularized fuzzy differential equations, the following properties are analyzed, and efficient criteria are proposed: successive approximations, continuity, global existence of solutions, existence of approximate solutions, existence of solutions in the autonomous case. In addition, we develop stability criteria for the regularized family of fuzzy differential equations on the basis of the comparison technique and the method of nonlinear integral inequalities. We expect that the derived results will inspire future research work in this direction.

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Section: Introductionmentioning

confidence: 99%