Common weak linear copositive Lyapunov functions for positive switched linear systems
type: Item
instance of: scholarly article
title: Common weak linear copositive Lyapunov functions for positive switched linear systems
zbMATH Open document ID: 1398.93309
DOI: 10.1155/2018/1365960
author: Zhaorong Wu
author: Yuangong Sun
author: Fanwei Meng
published in: Complexity
publication date: 2018-09-26T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 6944128
zbMATH Keywords: common weak linear copositive Lyapunov functions (CWCLFs)
zbMATH Keywords: stability analysis of complex systems
zbMATH Keywords: positive switched linear systems (PSLSs)
zbMATH Keywords: algebraic structure
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1365960
OpenAlex ID: W2790570257
cites work: Q4509145
cites work: State bounding for homogeneous positive systems of degree one with time-varying delay and exogenous input
cites work: Reachable set estimation for a class of nonlinear time-varying systems
cites work: \(H_{\infty}\) consensus of second-order multi-agent systems with asymmetric delays
cites work: Explicit condition for consensus of third-order discrete-time multi-agent systems without accelerated velocity measurements
cites work: Consensus in time-delayed multi-agent systems with quantized dwell times
cites work: On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws
cites work: A General Stability Test for Switched Positive Systems Based on a Multidimensional System Analysis
cites work: Stability Analysis of Positive Switched Linear Systems With Delays
cites work: Stability of switched positive linear systems with average dwell time switching
cites work: Improved results on stability of continuous-time switched positive linear systems
cites work: New criteria for exponential stability of switched time-varying systems with delays and nonlinear disturbances
cites work: Exponential stability of switched positive homogeneous systems
cites work: Exponential stabilization of switched time-varying systems with delays and disturbances
cites work: On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
cites work: On linear co-positive Lyapunov functions for sets of linear positive systems
cites work: Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
cites work: On the existence of linear copositive Lyapunov functions for 3-dimensional switched positive linear systems
cites work: On Easily Verifiable Conditions for the Existence of Common Linear Copositive Lyapunov Functions
cites work: An Extension of LaSalle's Invariance Principle and Its Application to Multi-Agent Consensus
cites work: An extension of LaSalle's invariance principle for a class of switched linear systems
cites work: Stability analysis of positive switched systems via joint linear copositive Lyapunov functions
cites work: Stabilization of Positive Switched Linear Systems and Its Application in Consensus of Multiagent Systems
cites work: Common joint linear copositive Lyapunov functions for positive switched systems
cites work: Hurwitz Stability of Metzler Matrices
description: scientific article; zbMATH DE number 6944128