Common weak linear copositive Lyapunov functions for positive switched linear systems

DOI10.1155/2018/1365960zbMath1398.93309OpenAlexW2790570257MaRDI QIDQ1784334

Zhaorong Wu, Yuan Gong Sun, Fan Wei Meng

Publication date: 26 September 2018

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/1365960

zbMATH Keywords

algebraic structurecommon weak linear copositive Lyapunov functions (CWCLFs)positive switched linear systems (PSLSs)stability analysis of complex systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Large-scale systems (93A15)

Related Items (8)

Reachable set bounding for a class of nonlinear time-varying systems with delay ⋮ State bounding for switched homogeneous positive nonlinear systems with exogenous input ⋮ Stability analysis of nonlinear time-varying systems with bounded and unbounded delays ⋮ Sign-consensus of linear multiagent systems under a state observer protocol ⋮ State bounding for nonlinear time-varying systems with delay and disturbance ⋮ State estimation for switched time-varying systems with delay and nonlinear disturbance: an integral inequality method ⋮ Finite-time state bounding of homogeneous nonlinear positive systems with disturbance ⋮ Reachable set bounding for homogeneous nonlinear systems with delay and disturbance

Cites Work

• Unnamed Item
• On the existence of linear copositive Lyapunov functions for 3-dimensional switched positive linear systems
• Stability of switched positive linear systems with average dwell time switching
• An extension of LaSalle's invariance principle for a class of switched linear systems
• Stability analysis of positive switched systems via joint linear copositive Lyapunov functions
• On linear co-positive Lyapunov functions for sets of linear positive systems
• Reachable set estimation for a class of nonlinear time-varying systems
• New criteria for exponential stability of switched time-varying systems with delays and nonlinear disturbances
• Exponential stability of switched positive homogeneous systems
• \(H_{\infty}\) consensus of second-order multi-agent systems with asymmetric delays
• Explicit condition for consensus of third-order discrete-time multi-agent systems without accelerated velocity measurements
• State bounding for homogeneous positive systems of degree one with time-varying delay and exogenous input
• Consensus in time-delayed multi-agent systems with quantized dwell times
• Common joint linear copositive Lyapunov functions for positive switched systems
• Exponential stabilization of switched time-varying systems with delays and disturbances
• Improved results on stability of continuous-time switched positive linear systems
• Stabilization of Positive Switched Linear Systems and Its Application in Consensus of Multiagent Systems
• An Extension of LaSalle's Invariance Principle and Its Application to Multi-Agent Consensus
• On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws
• Hurwitz Stability of Metzler Matrices
• Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
• A General Stability Test for Switched Positive Systems Based on a Multidimensional System Analysis
• On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
• Stability Analysis of Positive Switched Linear Systems With Delays
• On Easily Verifiable Conditions for the Existence of Common Linear Copositive Lyapunov Functions

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