New delay-range-dependent robust exponential stability criteria of uncertain impulsive switched linear systems with mixed interval nondifferentiable time-varying delays and nonlinear perturbations
type: Item
instance of: scholarly article
title: New delay-range-dependent robust exponential stability criteria of uncertain impulsive switched linear systems with mixed interval nondifferentiable time-varying delays and nonlinear perturbations
zbMATH Open document ID: 1418.34134
DOI: 10.1155/2015/406420
author: Narongsak Yotha
author: Kanit Mukdasai
author: P. Niamsup
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We investigate the problem of robust exponential stability analysis for uncertain impulsive switched linear systems with time-varying delays and nonlinear perturbations. The time delays are continuous functions belonging to the given interval delays, which mean that the lower and upper bounds for the time-varying delays are available, but the delay functions are not necessary to be differentiable. The uncertainties under consideration are nonlinear time-varying parameter uncertainties and norm-bounded uncertainties, respectively. Based on the combination of mixed model transformation, Halanay inequality, utilization of zero equations, decomposition technique of coefficient matrices, and a common Lyapunov functional, new delay-range-dependent robust exponential stability criteria are established for the systems in terms of linear matrix inequalities (LMIs). A numerical example is presented to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K45
zbMATH DE Number: 7025344
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/406420
OpenAlex ID: W2113241810
Wikidata QID: Q59105872
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description: scientific article; zbMATH DE number 7025344