scholarly journals Design of State-Dependent Switching With Dwell Time Constraint for Interval Positive Switched Systems

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 47836-47842
Author(s):  
Fangjun Luan ◽  
Juan Wang
Keyword(s):  
Switched Systems ◽  
Dwell Time ◽  
Time Constraint ◽  
State Dependent ◽  
Positive Switched Systems

New stabilization results for discrete-time positive switched systems with forward mode-dependent average dwell time

2016 ◽  
Vol 39 (2) ◽  
pp. 224-229 ◽  
Author(s):  
Tingting Liu ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Lili Liu
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Stability Result ◽  
Average Dwell Time ◽  
Feedback Controllers ◽  
Multiple Sample ◽  
The Stability ◽  
Positive Switched Systems ◽  
Time Linear

The stability and stabilization of discrete-time linear positive switched systems are discussed in this paper. First, based on the concept of the forward mode-dependent average dwell time, a stability result for discrete-time linear positive switched systems is obtained by utilizing the multiple linear copositive Lyapunov functions. Then, by introducing multiple-sample Lyapunov-like functions variation, a new exponential stability result is derived. Finally, the conditions for the existence of mode-dependent stabilizing state feedback controllers are investigated, and two illustrative examples are given to show the correctness of the theoretical results obtained.

Positive impulsive observer design of fractional-order positive switched systems with mode-dependent average dwell time

2018 ◽  
Vol 41 (5) ◽  
pp. 1340-1347 ◽  
Author(s):  
Leipo Liu ◽  
Xiangyang Cao ◽  
Zhumu Fu ◽  
Shuzhong Song ◽  
Hao Xing
Keyword(s):  
Linear Programming ◽  
Fractional Order ◽  
Switched Systems ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Observer Design ◽  
Exponentially Stable ◽  
Error System ◽  
Positive Switched Systems

This paper investigates the positive impulsive observer design of fractional-order positive switched systems with mode-dependent average dwell time (MDADT). By using the MDADT approach and the Lyapunov–Krasovskii functional technique, sufficient conditions are obtained to ensure the error system is globally exponentially stable. An algorithm is proposed to design the observer gain matrices via linear programming. Finally, two examples are provided to illustrate the effectiveness of the proposed method.

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