A New Integral Inequality and Delay-Decomposition with Uncertain Parameter Approach to the Stability Analysis of Time-Delay Systems
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This paper is concerned with the problem of delay-dependent stability of time-delay systems. Firstly, it introduces a new useful integral inequality which has been proved to be less conservative than the previous inequalities. Next, the inequality combines delay-decomposition approach with uncertain parameters applied to time-delay systems, based on the new Lyapunov-Krasovskii functionals and new stability criteria for system with time-delay have been derived and expressed in terms of LMIs. Finally, a numerical example is provided to show the effectiveness and the less conservative feature of the proposed method compared with some recent results.
2010 ◽
Vol 4
(11)
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pp. 2613-2620
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2016 ◽
Vol 40
(3)
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pp. 712-718
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2015 ◽
Vol 35
(2)
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pp. 501-526
2021 ◽
Vol 358
(1)
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pp. 1087-1102
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