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Set stability and controllability for switched non-homogeneous linear systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2007 (English)In: 2006 Chinese Control Conference Proceedings, CCC 2006, IEEE , 2007, 2171-2176 p.Conference paper (Refereed)
Abstract [en]

In this paper we consider some control problems of switched non-homogeneous linear systems. First, the set stability of switched non-homogeneous linear systems is considered. It is proved that as the linear parts have a common quadratic Lyapunov function the set stability is assured. The problem of searching smallest attracting set is then considered. Then we assume the switching law is controllable and investigate the controllability condition within the attracting region. Finally, we consider the aggregation and the control of aggregation of flocking behavior. Particularly, the results obtained are implemented to analyzing and manipulating of a group of mobile robots.

Place, publisher, year, edition, pages
IEEE , 2007. 2171-2176 p.
Keyword [en]
Common quadratic Lyapunov function, Controllability, Set stability, Switched system
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-155215DOI: 10.1109/CHICC.2006.280940ISI: 000243873602078ScopusID: 2-s2.0-37349073011ISBN: 7810778021ISBN: 978-781077802-2OAI: diva2:761587
25th Chinese Control Conference, CCC 2006, 7 August 2006 through 11 August 2006, Harbin, China

QC 20141107

Available from: 2014-11-07 Created: 2014-11-04 Last updated: 2014-11-07Bibliographically approved

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Hu, Xiaoming
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