Finite-Time Stability and Stabilization of Fractional Order Positive Switched Systems

2016 ◽  
Vol 35 (7) ◽  
pp. 2450-2470 ◽  
Author(s):  
Junfeng Zhang ◽  
Xudong Zhao ◽  
Yun Chen
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Switched Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Stability And Stabilization ◽  
Positive Switched Systems

Input–Output Finite-Time Stability of Fractional-Order Positive Switched Systems

2018 ◽  
Vol 38 (4) ◽  
pp. 1619-1638 ◽  
Author(s):  
Jinxia Liang ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Ben Niu ◽  
Xuejun Xie
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Switched Systems ◽  
Input Output ◽  
Time Stability ◽  
Finite Time Stability ◽  
Positive Switched Systems

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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