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ISA Trans. 2012 Nov;51(6):694-701. doi: 10.1016/j.isatra.2012.07.001. Epub 2012 Jul 25.

A delay decomposition approach to robust stability analysis of uncertain systems with time-varying delay.

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  • 1Department of Automation Engineering Institute of Mechatronoptic System, Chienkuo Technology University, Changhua 500, Taiwan, ROC.


This paper is concerned with delay-dependent robust stability for uncertain systems with time-varying delays. The proposed method employs a suitable Lyapunov-Krasovskii's functional for new augmented system. Then, based on the Lyapunov method, a delay-dependent robust criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. By developing a delay decomposition approach, the information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs) which can be easily solved by various optimization algorithms. Numerical examples are included to show that the proposed method is effective and can provide less conservative results.

Copyright © 2012 ISA. Published by Elsevier Ltd. All rights reserved.

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