CLC number: TP13
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2013-12-16
Cited: 2
Clicked: 8259
Xiao-li Zhang, An-hui Lin, Jian-ping Zeng. Exponential stability of nonlinear impulsive switched systems with stable and unstable subsystems[J]. Journal of Zhejiang University Science C, 2014, 15(1): 31-42.
@article{title="Exponential stability of nonlinear impulsive switched systems with stable and unstable subsystems",
author="Xiao-li Zhang, An-hui Lin, Jian-ping Zeng",
journal="Journal of Zhejiang University Science C",
volume="15",
number="1",
pages="31-42",
year="2014",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.C1300123"
}
%0 Journal Article
%T Exponential stability of nonlinear impulsive switched systems with stable and unstable subsystems
%A Xiao-li Zhang
%A An-hui Lin
%A Jian-ping Zeng
%J Journal of Zhejiang University SCIENCE C
%V 15
%N 1
%P 31-42
%@ 1869-1951
%D 2014
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.C1300123
TY - JOUR
T1 - Exponential stability of nonlinear impulsive switched systems with stable and unstable subsystems
A1 - Xiao-li Zhang
A1 - An-hui Lin
A1 - Jian-ping Zeng
J0 - Journal of Zhejiang University Science C
VL - 15
IS - 1
SP - 31
EP - 42
%@ 1869-1951
Y1 - 2014
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.C1300123
Abstract: exponential stability and robust exponential stability relating to switched systems consisting of stable and unstable nonlinear subsystems are considered in this study. At each switching time instant, the impulsive increments which are nonlinear functions of the states are extended from switched linear systems to switched nonlinear systems. Using the average dwell time method and piecewise Lyapunov function approach, when the total active time of unstable subsystems compared to the total active time of stable subsystems is less than a certain proportion, the exponential stability of the switched system is guaranteed. The switching law is designed which includes the average dwell time of the switched system. Switched systems with uncertainties are also studied. Sufficient conditions of the exponential stability and robust exponential stability are provided for switched nonlinear systems. Finally, simulations show the effectiveness of the result.
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