New Results on Practical Set Stability of Switched Nonlinear Systems
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Authors
Zhang, Y.
Yang, J.
Xu, Honglei
Teo, Kok Lay
Date
2013Type
Conference Paper
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Zhang, Y. and Yang, J. and Xu, H. and Teo, K.L. 2013. New Results on Practical Set Stability of Switched Nonlinear Systems, in Proceedings of the 3rd Australian Control Conference (AUCC 2013), Nov 4-5 2013, pp. 164-168. Perth, Western Australia: IEEE.
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Proceedings of the 2013 3rd Australian Control Conference (AUCC 2013)
Source Conference
2013 3rd Australian Control Conference (AUCC 2013)
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Department of Mathematics and Statistics
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Abstract
In this paper, we consider the practical set stability problem of a switched nonlinear system, in which every subsystem has one unique equilibrium point and these equilibrium points are different from each other. Based on the new concepts such as e -practical set stability and a t -persistent switching law, we explicitly construct a closed bounded set G and prove that under an appropriate t -persistent switching law the switched system is e -practically (asymptotically) set stable with respect to G. Finally, we present a numerical example to illustrate the results obtained.
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