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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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2011/138912 |
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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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1725261424103522304 |