Robust H∞ Filtering for Average Dwell Time Switching Systems via a Non-monotonic Function Approach

2019 ◽  
Vol 17 (3) ◽  
pp. 657-666 ◽  
Author(s):  
Yun Xie ◽  
Jiwei Wen ◽  
Li Peng
Keyword(s):  
Dwell Time ◽  
Average Dwell Time ◽  
Monotonic Function ◽  
Function Approach ◽  
Switching Systems ◽  
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.

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