New Results on Practical Set Stability of Switched Nonlinear Systems

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 switch...

Full description

Bibliographic Details
Main Authors: Zhang, Y., Yang, J., Xu, Honglei, Teo, Kok Lay
Other Authors: Unknown
Format: Conference Paper
Published: Engineers Australia, IEEE 2013
Online Access:http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6697266
http://hdl.handle.net/20.500.11937/49306
Description
Summary: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.