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

2012 ◽  
Vol 6 (11) ◽  
pp. 1741 ◽  
Author(s):  
Y. Wang ◽  
X. Shi ◽  
G. Wang ◽  
Z. Zuo
Keyword(s):  
Continuous Time ◽  
Finite Time ◽  
Switched Systems ◽  
Time Stability ◽  
Finite Time Stability

Finite-time stability of a class of continuous-time non-homogeneous switched systems

2017 ◽  
Vol 26 ◽  
pp. 101-114 ◽  
Author(s):  
Roman Kuiava ◽  
Bruna Krasota Matos ◽  
Gustavo Reche Razente
Keyword(s):  
Continuous Time ◽  
Finite Time ◽  
Switched Systems ◽  
Time Stability ◽  
Finite Time Stability

Finite-time stability and finite-time boundedness of fractional order switched systems

2019 ◽  
Vol 41 (12) ◽  
pp. 3364-3371 ◽  
Author(s):  
Jinxia Liang ◽  
Baowei Wu ◽  
Lili Liu ◽  
Yue-E Wang ◽  
Changtao Li
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Functional Method ◽  
Linear Matrix ◽  
Time Stability ◽  
Finite Time Stability ◽  
Finite Time Boundedness

Finite-time stability and finite-time boundedness of fractional order switched systems with [Formula: see text] are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions for finite-time stability and finite-time boundedness of fractional order switched systems are proposed. Furthermore, the state feedback controllers are constructed, and sufficient conditions are given to ensure that the corresponding closed-loop systems are finite-time stable and finite-time bounded. These conditions can be easily obtained in terms of linear matrix inequalities. Finally, two numerical examples are given to show the effectiveness of the results.

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