Robust stability criteria for uncertain neutral systems with interval nondifferentiable time-varying delay and nonlinear perturbations

Robust stability criteria for uncertain neutral systems with interval nondifferentiable time-varying delay and nonlinear perturbations

We study the robust stability criteria for uncertain neutral systems with interval time-varying delays and time-varying nonlinear perturbations simultaneously. The constraint on the derivative of the time-varying delay is not required, which allows the time-delay to be a fast time-varying function....

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Main Authors: W. Weera, P. Niamsup
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84855616327&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50105
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-501052018-09-04T04:24:22Z Robust stability criteria for uncertain neutral systems with interval nondifferentiable time-varying delay and nonlinear perturbations W. Weera P. Niamsup Mathematics We study the robust stability criteria for uncertain neutral systems with interval time-varying delays and time-varying nonlinear perturbations simultaneously. The constraint on the derivative of the time-varying delay is not required, which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskii theory, we derive new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature. Copyright © 2011 W. Weera and P. Niamsup. 2018-09-04T04:24:22Z 2018-09-04T04:24:22Z 2011-12-01 Journal 16870042 1110757X 2-s2.0-84855616327 10.1155/2011/138912 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84855616327&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50105
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
W. Weera
P. Niamsup
Robust stability criteria for uncertain neutral systems with interval nondifferentiable time-varying delay and nonlinear perturbations
description We study the robust stability criteria for uncertain neutral systems with interval time-varying delays and time-varying nonlinear perturbations simultaneously. The constraint on the derivative of the time-varying delay is not required, which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskii theory, we derive new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature. Copyright © 2011 W. Weera and P. Niamsup.
format Journal
author W. Weera
P. Niamsup
author_facet W. Weera
P. Niamsup
author_sort W. Weera
title Robust stability criteria for uncertain neutral systems with interval nondifferentiable time-varying delay and nonlinear perturbations
title_short Robust stability criteria for uncertain neutral systems with interval nondifferentiable time-varying delay and nonlinear perturbations
title_full Robust stability criteria for uncertain neutral systems with interval nondifferentiable time-varying delay and nonlinear perturbations
title_fullStr Robust stability criteria for uncertain neutral systems with interval nondifferentiable time-varying delay and nonlinear perturbations
title_full_unstemmed Robust stability criteria for uncertain neutral systems with interval nondifferentiable time-varying delay and nonlinear perturbations
title_sort robust stability criteria for uncertain neutral systems with interval nondifferentiable time-varying delay and nonlinear perturbations
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84855616327&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50105
_version_ 1681423530010345472

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