Stability analysis for uncertain nonlinear switched systems with infinite-time domain

2021 ◽  
Author(s):  
Yadong Shu ◽  
Bo Li
Keyword(s):  
Stability Analysis ◽  
Time Domain ◽  
Switched Systems ◽  
Infinite Time ◽  
Nonlinear Switched Systems

scholarly journals Stability Analysis for Linear Uncertain Switched Systems in Infinite-time Domain

2021 ◽  
Author(s):  
Yadong Shu ◽  
Bo Li
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Time Domain ◽  
Switched Systems ◽  
Uncertainty Theory ◽  
Switched System ◽  
Almost Sure Stability ◽  
Infinite Time ◽  
Internal Property ◽  
Stability Issues

Abstract In this work, an uncertain switched system expressed as a series of uncertain differential equations is considered in depth. Stability issues have been widely investigated on switched systems while few results related to stability analysis for uncertain switched systems can be found. Due to such fact, three different stabilities, including stability in measure, almost sure stability and stability in mean, are comprehensively studied for linear uncertain switched systems in infinite-time domain. Internal property of the systems is able to be illustrated from different perspectives with the help of above stability analysis. By employing uncertainty theory and the feature of switched systems, corresponding judgement theorems of these stabilities are proposed and verified. An example with respect to stability in measure is provided to display the validness of the results derived.

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

Stability Analysis of Nonlinear Switched Systems via Reduction Method

2011 ◽  
Vol 44 (1) ◽  
pp. 5718-5723 ◽  
Author(s):  
Stanislav N. Vassilyev ◽  
Alexander A. Kosov ◽  
Alexander I. Malikov
Keyword(s):  
Stability Analysis ◽  
Switched Systems ◽  
Reduction Method ◽  
Nonlinear Switched Systems

scholarly journals Robust Stability Analysis of Nonlinear Switched Systems with Filippov Solutions

2012 ◽  
Vol 45 (13) ◽  
pp. 288-293 ◽  
Author(s):  
Mohamadreza Ahmadi ◽  
Hamed Mojallali ◽  
Rafael Wisniewski ◽  
Roozbeh Izadi-Zamanabadi
Keyword(s):  
Stability Analysis ◽  
Robust Stability ◽  
Switched Systems ◽  
Filippov Solutions ◽  
Nonlinear Switched Systems ◽  
Robust Stability Analysis
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