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dc.contributor.authorXu, Honglei
dc.contributor.authorZhang, Y.
dc.contributor.authorYang, J.
dc.contributor.authorZhou, Guanglu
dc.contributor.authorCaccetta, Louis
dc.date.accessioned2017-01-30T14:46:21Z
dc.date.available2017-01-30T14:46:21Z
dc.date.created2016-05-03T19:30:14Z
dc.date.issued2016
dc.identifier.citationXu, H. and Zhang, Y. and Yang, J. and Zhou, G. and Caccetta, L. 2016. Practical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria. Journal of Global Optimization. 65 (1): pp. 109-118.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/40860
dc.identifier.doi10.1007/s10898-015-0339-7
dc.description.abstract

This paper studies the practical exponential set stabilization problem for switched nonlinear systems via a t -persistent approach. In these kinds of switched systems, every autonomous subsystem has one unique equilibrium point and these subsystems’ equilibria are different each other. Based on previous stability results of switched systems and a set of Gronwall–Bellman inequalities, we prove that the switched nonlinear system will reach the neighborhood of the corresponding subsystem equilibrium at every switching time. In addition, we constructively design a suitable t -persistent switching law to practically exponentially set stabilize the switched system. Finally, a numerical example is presented to illustrate the obtained results.

dc.publisherSpringer
dc.titlePractical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria
dc.typeJournal Article
dcterms.source.volume65
dcterms.source.number1
dcterms.source.startPage109
dcterms.source.endPage118
dcterms.source.issn1573-2916
dcterms.source.titleJournal of Global Optimization
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available


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