Stability analysis for linear systems with singular second-order vector differential equations

Shen Lung Tung, Yau Tarng Juang, Wen Yan Huang

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

This technical note is concerned with exponential stability analysis of linear time-varying systems represented by the second-order vector differential equations with the singular leading coefficient matrix. Using bounding techniques on the trajectories of the linear time-varying systems, the stability problem of the time-varying systems is transformed to that of the time-invariant systems and a new sufficient condition for exponential stability is derived. The obtained condition can be applied to the nonsingular case and it is proven that the condition for the nonsingular case is superior to a test presented in the recent literature. Analogously, the proposed method is also extended to the stability analysis for a class of linear time-varying systems with delay. By illustrative examples, better results are obtained by the proposed criteria as compared with some results in the literature.

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文章編號5605239
頁(從 - 到)410-413
頁數4
期刊IEEE Transactions on Automatic Control
56
發行號2
DOIs
出版狀態已出版 - 2月 2011

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