Stability Analysis of Singularly Perturbed Switched Linear Systems

2018 ◽  
pp. 47-61
Author(s):  
J. Ben Rejeb ◽  
I.-C. Morărescu ◽  
A. Girard ◽  
J. Daafouz
Keyword(s):  
Stability Analysis ◽  
Linear Systems ◽  
Singularly Perturbed ◽  
Switched Linear Systems

scholarly journals Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach

2011 ◽  
Vol 56 (9) ◽  
pp. 2101-2115 ◽  
Author(s):  
M. C. F. Donkers ◽  
W. P. M. H. Heemels ◽  
Nathan van de Wouw ◽  
Laurentiu Hetel
Keyword(s):  
Stability Analysis ◽  
Control Systems ◽  
Linear Systems ◽  
Systems Approach ◽  
Networked Control Systems ◽  
Networked Control ◽  
Switched Linear Systems

Stability and controllability of switched systems

2013 ◽  
Vol 61 (3) ◽  
pp. 547-555 ◽  
Author(s):  
J. Klamka ◽  
A. Czornik ◽  
M. Niezabitowski
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Linear Systems ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Switched Linear Systems ◽  
Arbitrary Switching ◽  
Mathematical Problems ◽  
The Stability ◽  
Necessary And Sufficient

Abstract The study of properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. This paper aims to briefly survey recent results on stability and controllability of switched linear systems. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After that, we review the controllability results.

scholarly journals Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Yuangong Sun ◽  
Zhaorong Wu ◽  
Fanwei Meng
Keyword(s):  
Stability Analysis ◽  
Complex Systems ◽  
Linear Systems ◽  
Algebraic Structure ◽  
Lyapunov Functions ◽  
Sufficient Conditions ◽  
Switched Linear Systems ◽  
Numerical Examples ◽  
The Stability ◽  
Necessary And Sufficient

Lyapunov functions play a key role in the stability analysis of complex systems. In this paper, we study the existence of a class of common weak linear copositive Lyapunov functions (CWCLFs) for positive switched linear systems (PSLSs) which generalize the conventional common linear copositive Lyapunov functions (CLCLFs) and can be used as handy tool to deal with the stability of PSLSs not covered by CLCLFs. We not only establish necessary and sufficient conditions for the existence of CWCLFs but also clearly describe the algebraic structure of all CWCLFs. Numerical examples are also given to demonstrate the effectiveness of the obtained results.

Sign in / Sign up

Export Citation Format

Share Document