An improved stability test and stabilisation of linear time-varying systems governed by second-order vector differential equations |
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| Authors: | Shen-Lung Tung Yau-Tarng Juang Wei-Ying Wu Wern-Yarng Shieh |
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| Affiliation: | 1. Telecommunication Laboratories, Chunghwa Telecom Co., Ltd. , Taoyuan, Taiwan, ROC;2. Department of Electrical Engineering , National Central University , Taoyuan, Taiwan, ROC tung168@cht.com.tw;4. Department of Electrical Engineering , National Central University , Taoyuan, Taiwan, ROC;5. Department of Computer and Communication Engineering , St. John's University , Taipei, Taiwan, ROC |
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| Abstract: | In this article, the problems of exponential stability analysis and stabilisation of linear time-varying systems described by a class of second-order vector differential equations are considered. Using bounding techniques on the trajectories of a linear time-varying system, the stability problem of the time-varying system is transformed to that of a time-invariant system and a new sufficient condition for the exponential stability is obtained. Moreover, the new criterion is proven to be superior to a test presented in the recent literature. Finally, the proposed criterion is applied to the exponential stabilisation problem via state feedback. The results are illustrated by several numerical examples. |
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| Keywords: | exponential stability stabilisation time-varying second-order vector |
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