An improved stability test and stabilisation of linear time-varying systems governed by second-order vector differential equations

Shen Lung Tung, Yau Tarng Juang, Wei Ying Wu, Wern Yarng Shieh

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish
Pages (from-to)1975-1980
Number of pages6
JournalInternational Journal of Systems Science
Volume42
Issue number12
DOIs
StatePublished - Dec 2011

Keywords

  • exponential stability
  • second-order vector
  • stabilisation
  • time-varying

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