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New insight into admissibility analysis for singular systems with time-varying delays
International Journal of Systems Science ( IF 4.3 ) Pub Date : 2021-03-23 , DOI: 10.1080/00207721.2021.1902016
Yang Li 1, 2 , Yong He 1, 2
Affiliation  

This paper focuses on the admissibility analysis of singular systems with time-varying delays. The goal is to obtain admissibility criterion with less conservatism and fewer decision variables. After decomposing singular systems into differential subsystems and algebraic ones, an improved augmented Lyapunov–Krasovskii functional is established according to decomposed state vectors. Then, combining the auxiliary function-based inequality and the extended reciprocally convex matrix method, a less conservative admissibility criterion with fewer decision variables is obtained. Finally, a numerical example verifies the reduced conservatism and calculation burden of the presented method.



中文翻译:

对具有时变延迟的奇异系统的可容许性分析的新见解

本文重点研究时变时滞奇异系统的可容许性分析。目标是获得具有较少保守性和较少决策变量的可接受标准。将奇异系统分解为微分子系统和代数子系统后,根据分解后的状态向量建立改进的增广Lyapunov-Krasovskii泛函。然后,结合基于辅助函数的不等式和扩展互逆凸矩阵法,得到了一个决策变量较少的不太保守的可接受准则。最后,一个数值例子验证了所提出方法的减少的保守性和计算负担。

更新日期:2021-03-23
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