Switching design for exponential stability of a class of nonlinear hybrid time-delay systems
This paper addresses the exponential stability for a class of nonlinear hybrid time-delay systems. The system to be considered is autonomous and the state delay is time-varying. Using the Lyapunov functional approach combined with the Newton-Leibniz formula, neither restriction on the derivative of...
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th-cmuir.6653943832-490232018-08-16T02:13:18Z Switching design for exponential stability of a class of nonlinear hybrid time-delay systems V. N. Phat T. Botmart P. Niamsup Computer Science Engineering Mathematics This paper addresses the exponential stability for a class of nonlinear hybrid time-delay systems. The system to be considered is autonomous and the state delay is time-varying. Using the Lyapunov functional approach combined with the Newton-Leibniz formula, neither restriction on the derivative of time-delay function nor bound restriction on nonlinear perturbations is required to design a switching rule for the exponential stability of nonlinear switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of algebraic Riccati equations, which allows computing simultaneously the two bounds that characterize the stability rate of the solution. A simple procedure for constructing the switching rule is also presented. © 2008 Elsevier Ltd. All rights reserved. 2018-08-16T02:08:28Z 2018-08-16T02:08:28Z 2009-02-01 Journal 1751570X 2-s2.0-57849139259 10.1016/j.nahs.2008.10.001 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=57849139259&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49023 |
| institution |
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Chiang Mai University Library |
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Thailand |
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Computer Science Engineering Mathematics |
| spellingShingle |
Computer Science Engineering Mathematics V. N. Phat T. Botmart P. Niamsup Switching design for exponential stability of a class of nonlinear hybrid time-delay systems |
| description |
This paper addresses the exponential stability for a class of nonlinear hybrid time-delay systems. The system to be considered is autonomous and the state delay is time-varying. Using the Lyapunov functional approach combined with the Newton-Leibniz formula, neither restriction on the derivative of time-delay function nor bound restriction on nonlinear perturbations is required to design a switching rule for the exponential stability of nonlinear switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of algebraic Riccati equations, which allows computing simultaneously the two bounds that characterize the stability rate of the solution. A simple procedure for constructing the switching rule is also presented. © 2008 Elsevier Ltd. All rights reserved. |
| format |
Journal |
| author |
V. N. Phat T. Botmart P. Niamsup |
| author_facet |
V. N. Phat T. Botmart P. Niamsup |
| author_sort |
V. N. Phat |
| title |
Switching design for exponential stability of a class of nonlinear hybrid time-delay systems |
| title_short |
Switching design for exponential stability of a class of nonlinear hybrid time-delay systems |
| title_full |
Switching design for exponential stability of a class of nonlinear hybrid time-delay systems |
| title_fullStr |
Switching design for exponential stability of a class of nonlinear hybrid time-delay systems |
| title_full_unstemmed |
Switching design for exponential stability of a class of nonlinear hybrid time-delay systems |
| title_sort |
switching design for exponential stability of a class of nonlinear hybrid time-delay systems |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=57849139259&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49023 |
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1681423335450214400 |