Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207179.2012.713987
Title: Sufficient and necessary conditions for the stability of second-order switched linear systems under arbitrary switching
Authors: Yang, Y.
Xiang, C. 
Lee, T.H. 
Keywords: geometrical approach
polar coordinates
stability
switched linear systems
worst-case analysis
Issue Date: 1-Dec-2012
Source: Yang, Y.,Xiang, C.,Lee, T.H. (2012-12-01). Sufficient and necessary conditions for the stability of second-order switched linear systems under arbitrary switching. International Journal of Control 85 (12) : 1977-1995. ScholarBank@NUS Repository. https://doi.org/10.1080/00207179.2012.713987
Abstract: Many practical systems can be modelled as switched systems, whose stability problem is challenging even for linear subsystems. In this article, the stability problem of second-order switched linear systems with a finite number of subsystems under arbitrary switching is investigated. Sufficient and necessary stability conditions are derived based on the worst-case analysis approach in polar coordinates. The key idea of this article is to partition the whole state space into several regions and reduce the stability analysis of all the subsystems to analysing one or two worst subsystems in each region. This article is an extension of the work for stability analysis of second-order switched linear systems with two subsystems under arbitrary switching. © 2012 Copyright Taylor and Francis Group, LLC.
Source Title: International Journal of Control
URI: http://scholarbank.nus.edu.sg/handle/10635/51052
ISSN: 00207179
DOI: 10.1080/00207179.2012.713987
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