scholarly journals Composite adaptive disturbance observer-based control for switched stochastic systems with multiple disturbances subject to mode-dependent average dwell time switching

2019 ◽  
Vol 13 (8) ◽  
pp. 1187-1196 ◽  
Author(s):  
Lianfang Ma ◽  
Haibin Sun ◽  
Guangdeng Zong
Keyword(s):  
Disturbance Observer ◽  
Dwell Time ◽  
Stochastic Systems ◽  
Average Dwell Time ◽  
Time Switching ◽  
Multiple Disturbances ◽  
Switched Stochastic Systems ◽  
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.

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