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: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/138912
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spelling doaj-5b844d1b3e26476b82686993256433102020-11-25T00:47:10ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/138912138912Robust Stability Criteria for Uncertain Neutral Systems with Interval Nondifferentiable Time-Varying Delay and Nonlinear PerturbationsW. Weera0P. Niamsup1Department of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandWe 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.http://dx.doi.org/10.1155/2011/138912
collection DOAJ
language English
format Article
sources DOAJ
author W. Weera
P. Niamsup
spellingShingle W. Weera
P. Niamsup
Robust Stability Criteria for Uncertain Neutral Systems with Interval Nondifferentiable Time-Varying Delay and Nonlinear Perturbations
Journal of Applied Mathematics
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
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2011-01-01
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.
url http://dx.doi.org/10.1155/2011/138912
work_keys_str_mv AT wweera robuststabilitycriteriaforuncertainneutralsystemswithintervalnondifferentiabletimevaryingdelayandnonlinearperturbations
AT pniamsup robuststabilitycriteriaforuncertainneutralsystemswithintervalnondifferentiabletimevaryingdelayandnonlinearperturbations
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