scholarly journals Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
L. F. Araghi ◽  
A. A. Suratgar ◽  
E. Feizi
Keyword(s):  
Neural Networks ◽  
Linear Systems ◽  
Infinite Number ◽  
Fuzzy Systems ◽  
Switching Systems ◽  
Uniform Asymptotic Stability ◽  
Switched Linear Systems ◽  
Simulation Results ◽  
The Stability ◽  
The Relationship

Stability of switching systems with an infinite number of subsystems is important in some structure of systems, like fuzzy systems, neural networks, and so forth. Because of the relationship between stability of a set of matrices and switching systems, this paper first studies the stability of a set of matrices, then and the results are applied for stability of switching systems. Some new conditions for globally uniformly asymptotically stability (GUAS) of discrete-time switched linear systems with an infinite number of subsystems are proposed. The paper considers some examples and simulation results.

Stability of Discrete-Time Switched Linear Systems with Saturation Arithmetic

2013 ◽  
Vol 427-429 ◽  
pp. 1319-1323
Author(s):  
Meng Hua Zhang ◽  
Xin Gong Cheng ◽  
Xi Ju Zong
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Stability Condition ◽  
Closed Loop ◽  
Switched Linear Systems ◽  
The Stability ◽  
Saturation Arithmetic ◽  
Theoretical Results

This paper addresses a strategy for the stability of discrete-time switched linear systems with saturation arithmetic. It is of closed-loop nature and is designed from the solution of what we called Lyapunov-Metzler inequalities from which the stability condition is expressed. The theoretical results are illustrated by means of examples.

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.

The relationship between the stability and the optimality of linear systems

1985 ◽  
Vol 6 (2) ◽  
pp. 149-156
Author(s):  
Chen Xiao-lin ◽  
Hwang Ling
Keyword(s):  
Linear Systems ◽  
The Stability ◽  
The Relationship

The relationship between the stability and the optimality of linear systems (II)

1987 ◽  
Vol 8 (3) ◽  
pp. 257-261
Author(s):  
Chen Xiao-lin ◽  
Hwang Ling
Keyword(s):  
Linear Systems ◽  
The Stability ◽  
The Relationship

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