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Stability and Stabilization Criteria for a Class of Uncertain Neutral Systems with Time-Varying Delays

Author:

C. H. LienAuthors Info & Claims

Journal of Optimization Theory and Applications, Volume 124, Issue 3

Pages 637 - 657

https://doi.org/10.1007/s10957-004-1178-8

Published: 01 March 2005 Publication History

Abstract

In this paper, the robust asymptotic stability and stabilization for a class of uncertain neutral system with time-varying delays are considered. Based on the Lyapunov-Krasovskii functional theory, some stability and stabilization criteria are derived. Delay-dependent and delay-independent criteria are proposed for the stability and stabilization of the considered systems. State and output feedbacks are considered to stabilize the uncertain neutral system. A linear matrix inequality approach and a genetic algorithm are used to solve the stability and stabilization problems. Finally, some numerical examples are shown to illustrate the use of the obtained results.

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Digital Library

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Cited By

Liao HTan MXu S(2013)Stability criteria for uncertain linear systems with time-varying delayProceedings of the 10th international conference on Advances in Neural Networks - Volume Part I10.1007/978-3-642-39065-4_15(117-124)Online publication date: 4-Jul-2013
https://dl.acm.org/doi/10.1007/978-3-642-39065-4_15
Kwon OPark JLee S(2008)Exponential Stability for Uncertain Dynamic Systems with Time-Varying DelaysJournal of Optimization Theory and Applications10.1007/s10957-008-9357-7137:3(521-532)Online publication date: 1-Jun-2008
https://dl.acm.org/doi/10.1007/s10957-008-9357-7

Stability and Stabilization Criteria for a Class of Uncertain Neutral Systems with Time-Varying Delays
1. Computing methodologies
  1. Artificial intelligence
    1. Control methods
2. Mathematics of computing
  1. Mathematical analysis

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cover image Journal of Optimization Theory and Applications

Journal of Optimization Theory and Applications Volume 124, Issue 3

March 2005

235 pages

ISSN:0022-3239

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Copyright © Copyright © 2005 Springer Science+Business Media, Inc.

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Plenum Press

United States

Publication History

Published: 01 March 2005

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Cited By

Liao HTan MXu S(2013)Stability criteria for uncertain linear systems with time-varying delayProceedings of the 10th international conference on Advances in Neural Networks - Volume Part I10.1007/978-3-642-39065-4_15(117-124)Online publication date: 4-Jul-2013
https://dl.acm.org/doi/10.1007/978-3-642-39065-4_15
Kwon OPark JLee S(2008)Exponential Stability for Uncertain Dynamic Systems with Time-Varying DelaysJournal of Optimization Theory and Applications10.1007/s10957-008-9357-7137:3(521-532)Online publication date: 1-Jun-2008
https://dl.acm.org/doi/10.1007/s10957-008-9357-7

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