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Brief paper - Finite-time stability for continuous-time switched systems in the presence of impulse effects

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4 Author(s)
Wang, Y. ; Tianjin Key Lab. of Process Meas. & Control, Tianjin Univ., Tianjin, China ; Shi, X. ; Wang, G. ; Zuo, Z.

The problem of finite-time stability for a class of continuous-time switched systems with impulse effects is studied in this article. A criterion is proposed which ensures that the system's state trajectory remains in a bounded region of the state space over a pre-specified finite-time interval if the authors give a bound on the initial condition. Contrary to the existing results on finite-time stability of switched systems, the average dwell time approach, rather than the Lyapunov-based ones, is utilised to realise such a purpose. The difference between the finite-time stability and the Lyapunov stability is clearly shown. A numerical example is given to illustrate the proposed design method.

Published in:

Control Theory & Applications, IET  (Volume:6 ,  Issue: 11 )

Date of Publication:

July 19 2012

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