Stability analysis of totally positive switched linear systems with average dwell time switching

2020 ◽  
Vol 36 ◽  
pp. 100877 ◽  
Author(s):  
Guosheng Wang ◽  
Yang Liu ◽  
Jianquan Lu ◽  
Zhen Wang
Keyword(s):  
Stability Analysis ◽  
Linear Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Switched Linear Systems ◽  
Time Switching ◽  
Totally Positive ◽  
Average Dwell Time Switching

Stability of switched positive linear systems with average dwell time switching

Automatica ◽  
2012 ◽  
Vol 48 (6) ◽  
pp. 1132-1137 ◽  
Author(s):  
Xudong Zhao ◽  
Lixian Zhang ◽  
Peng Shi ◽  
Ming Liu
Keyword(s):  
Linear Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Time Switching ◽  
Average Dwell Time Switching

Finite-Time Input-to-State Stability and Optimization of Switched Nonlinear Systems

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Xiaoli Wang ◽  
Chuntao Shao
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Stability Problem ◽  
Stability Property ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Switched Nonlinear Systems ◽  
Time Switching ◽  
Switched Nonlinear System ◽  
Average Dwell Time Switching

In this paper, we address the (uniform) finite-time input-to-state stability problem for switched nonlinear systems. We prove that a switched nonlinear system has a useful finite-time input-to-state stability property under average dwell-time switching signals if each constituent subsystem has finite-time input-to-state stability. Moreover, we prove the equivalence between the optimal costs for the switched nonlinear systems and for the relaxed differential inclusion.

Sign in / Sign up

Export Citation Format

Share Document