Further results on delay-dependent stability for continuous system with two additive time-varying delay components
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Published on: January 9, 2016
Xuemei Yu1, Xiaomei Wang1, Shouming Zhong1
1School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, China.
Abstract:
This paper deals with the problem of stability for continuous system with two additive time-varying delay components. By making full use of the information of the marginally delayed state, a novel Lyapunov-Krasovskii functional is constructed. When estimating the derivative of the Lyapunov-Krasovskii functional, we manage to get a fairly tighter upper bound by using the method of reciprocal convex and convex polyhedron. The obtained delay-dependent stability results are less conservative than some existing ones via numerical example comparisons. In addition, this criterion is expressed as a set of linear matrix inequalities, which can be readily tested by using the Matlab LMI toolbox. Finally, four examples are given to illustrate the effectiveness of the proposed method.
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