Switched nonlinear systems in the Koopman operator framework: Toward a Lie-algebraic condition for uniform stability

2021 ◽  
Author(s):  
Christian Mugisho Zagabe ◽  
Alexandre Mauroy
Keyword(s):  
Nonlinear Systems ◽  
Uniform Stability ◽  
Switched Nonlinear Systems ◽  
Algebraic Condition ◽  
Koopman Operator

Uniform stability of switched nonlinear systems

2009 ◽  
Vol 3 (4) ◽  
pp. 441-454 ◽  
Author(s):  
Jun Liu ◽  
Xinzhi Liu ◽  
Wei-Chau Xie
Keyword(s):  
Nonlinear Systems ◽  
Uniform Stability ◽  
Switched Nonlinear Systems

Uniform Stability of Discrete-Time Switched Nonlinear Systems

2014 ◽  
Vol 643 ◽  
pp. 83-89
Author(s):  
Shu Rong Sun ◽  
Guang Rong Zhang ◽  
Ping Zhao
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Switched Systems ◽  
Lyapunov Functions ◽  
Sufficient Conditions ◽  
Uniform Stability ◽  
Switched Nonlinear Systems ◽  
Uniform Asymptotic Stability ◽  
Unstable Subsystems ◽  
The Stability

In this paper, we study the stability properties of a general class of nonautonomous discrete-time switched nonlinear systems. The switched systems consist of stable and unstable subsystems. Based on Lyapunov functions, some sufficient conditions for uniform stability, uniform asymptotic stability and uniform exponential stability are established.

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