Stabilization of a class of cascade nonlinear switched systems with application to chaotic systems

2018 ◽  
Vol 28 (11) ◽  
pp. 3640-3656 ◽  
Author(s):  
Mohammad Pourmahmood Aghababa
Keyword(s):  
Switched Systems ◽  
Chaotic Systems ◽  
Nonlinear Switched Systems

Stability analysis of some classes of nonlinear switched systems with time delay

2017 ◽  
Vol 48 (10) ◽  
pp. 2111-2119 ◽  
Author(s):  
Alexander Aleksandrov ◽  
Elena Aleksandrova ◽  
Alexei Zhabko
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Switched Systems ◽  
Nonlinear Switched Systems

Observability and Distinguishability Properties and Stability of Arbitrarily Fast Switched Systems

2013 ◽  
Vol 135 (5) ◽  
Author(s):  
Najah F. Jasim
Keyword(s):  
Asymptotic Stability ◽  
Dynamic Systems ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Stability Theorem ◽  
External Disturbances ◽  
Fast Switching ◽  
Nonlinear Switched Systems ◽  
Arbitrary Switching

This paper addresses sufficient conditions for asymptotic stability of classes of nonlinear switched systems with external disturbances and arbitrarily fast switching signals. It is shown that asymptotic stability of such systems can be guaranteed if each subsystem satisfies certain variants of observability or 0-distinguishability properties. In view of this result, further extensions of LaSalle stability theorem to nonlinear switched systems with arbitrary switching can be obtained based on these properties. Moreover, the main theorems of this paper provide useful tools for achieving asymptotic stability of dynamic systems undergoing Zeno switching.

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