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Delay and Its Time-Derivative Dependent Stable Criterion for Differential-Algebraic Systems
School of Science, Southwest University of Science and Technology, Mianyang, China
School of Science, Southwest University of Science and Technology, Mianyang, China
- 1 School of Science, Southwest University of Science and Technology, Mianyang, China
- 2 School of Science, Southwest University of Science and Technology, Mianyang, China
Applied Mathematics·Volume 07 (2016)·Pages 1124–1133·Published 7 June 2016·DOI10.4236/am.2016.710100
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Abstract
In this paper, the stable problem for differential-algebraic systems is investigated by a convex op-timization approach. Based on the Lyapunov functional method and the delay partitioning approach, some delay and its time-derivative dependent stable criteria are obtained and formulated in the form of simple linear matrix inequalities (LMIs). The obtained criteria are dependent on the sizes of delay and its time-derivative and are less conservative than those produced by previous approaches.
KeywordsDifferential-Algebraic SystemsStability AnalysisLyapunov-Krasovskii FunctionalDelay Partitioning ApproachLinear Matrix Inequality (LMI)
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