New stability criteria of switched systems with unstable modes under a weighted ADT scheme

Author(s):  
Qiang Yu ◽  
Guisheng Zhai
Author(s):  
Guoping Pang ◽  
Xianbo Sun ◽  
Zhiqing Liang ◽  
Silian He ◽  
Xiaping Zeng

In this paper, the system with impulsive state feedback control corresponding to the sulphitation reaction in process of manufacture of sugar is considered. By means of square approximation and a series of switched systems, the periodic solution is approximated by a series of continuous hybrid limit cycles. Similar to the analysis of limit cycles of continuous systems, the existence and stability criteria of the order-1 periodic solution are obtained. Further, numerical analysis and discussion are given.


2001 ◽  
Vol 40 (1) ◽  
pp. 253-269 ◽  
Author(s):  
Andrei A. Agrachev ◽  
Daniel Liberzon

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