Stabilisation of second-order LTI switched positive systems

Yan Zheng; Gang Feng

doi:10.1080/00207179.2011.600336

Stabilisation of second-order LTI switched positive systems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Overview

16 Scopus Citations

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Author(s)

Yan Zheng
Gang Feng

Detail(s)

Original language	English
Pages (from-to)	1387-1397
Journal / Publication	International Journal of Control
Volume	84
Issue number	8
Publication status	Published - Aug 2011

Link(s)

DOI	DOI https://doi.org/10.1080/00207179.2011.600336 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-80052338029&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(7b49a989-a5e1-49a2-a862-7bc3b354995e).html

Abstract

The stabilisation problem of second-order switched positive systems consisting of two unstable subsystems is considered in this article. By considering the vector fields and geometric characteristics, a necessary and sufficient condition for the stabilisability of second-order switched positive systems with two unstable subsystems is provided. Furthermore, it is shown via this condition that neither second-order switched positive systems consisting of two subsystems with unstable nodes nor second-order switched positive systems consisting of one subsystem with unstable nodes and the other with a saddle point can be stabilised via any switching law. © 2011 Taylor & Francis.