Set stability and controllability for switched non-homogeneous linear systems
2007 (English)In: 2006 Chinese Control Conference Proceedings, CCC 2006, IEEE , 2007, 2171-2176 p.Conference paper (Refereed)
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.
Common quadratic Lyapunov function, Controllability, Set stability, Switched system
IdentifiersURN: urn:nbn:se:kth:diva-155215DOI: 10.1109/CHICC.2006.280940ISI: 000243873602078ScopusID: 2-s2.0-37349073011ISBN: 7810778021ISBN: 978-781077802-2OAI: oai:DiVA.org:kth-155215DiVA: diva2:761587
25th Chinese Control Conference, CCC 2006, 7 August 2006 through 11 August 2006, Harbin, China
QC 201411072014-11-072014-11-042014-11-07Bibliographically approved