Max-type copositive Lyapunov functions for switching positive linear systems

DOI10.1016/j.automatica.2014.10.043zbMath1309.93137OpenAlexW1996864164MaRDI QIDQ2342471

Octavian Pastravanu, Mihaela-Hanako Matcovschi

Publication date: 28 April 2015

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2014.10.043

zbMATH Keywords

copositive Lyapunov functionPerron-Frobenius eigenstructureswitching positive linear systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Eigenvalue problems (93B60) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (8)

On the existence of a common Lyapunov function for a family of nonlinear positive systems ⋮ Diagonal Riccati Stability of a Class of Complex Systems and Applications ⋮ On the existence of diagonal Lyapunov-Krasovskii functionals for a class of nonlinear positive time-delay systems ⋮ Stability of continuous-time positive switched linear systems: a weak common copositive Lyapunov functions approach ⋮ Further results on diagonally invariant exponential stability of switching linear systems ⋮ Construction of the Lyapunov-Krasovskii functionals for some classes of positive delay systems ⋮ On diagonal stability of positive systems with switches and delays ⋮ Dual switched positive systems – a less conservative condition for diagonal quadratic stability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On linear copositive Lyapunov functions for switched positive systems
• On linear co-positive Lyapunov functions for sets of linear positive systems
• Stability and D-stability for Switched Positive Systems
• Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
• On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems
• On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
• Stability and Stabilizability Criteria for Discrete-Time Positive Switched Systems
• A Constructive Approach to Linear Lyapunov Functions for Positive Switched Systems Using Collatz-Wielandt Sets
• Set-theoretic methods in control

This page was built for publication: Max-type copositive Lyapunov functions for switching positive linear systems