A novel methodology to solve the CQLF problem for a finite set of stable second-order systems

DOI10.1080/00207179.2014.954273zbMath1328.93193OpenAlexW2065790643MaRDI QIDQ5265918

Rodrigo H. Ordóñez-Hurtado

Publication date: 29 July 2015

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2014.954273

zbMATH Keywords

evolutionary computationsystem stabilityparticle swarm optimisationcommon quadratic Lyapunov functionsintersection of convex hulls

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) Control/observation systems governed by ordinary differential equations (93C15)

Uses Software

• SIGOA

Cites Work

• Exponential stability of simultaneously triangularizable switched systems with explicit calculation of a common Lyapunov function
• Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems
• On the existence of a common quadratic Lyapunov function for a rank one difference
• Common Lyapunov solutions for two matrices whose difference has rank one
• A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation
• A common Lyapunov function for stable LTI systems with commuting A-matrices
• Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems
• Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
• On interconnected systems, passivity and some generalisations
• On quadratic lyapunov functions
• On common quadratic lyapunov functions for pairs of stable lti systems whose system matrices are in companion form
• Common Lyapunov Functions and Gradient Algorithms
• Common Lyapunov Functions for Some Special Classes of Stable Systems
• Finding common quadratic Lyapunov functions for switched linear systems using particle swarm optimisation
• Unnamed Item

This page was built for publication: A novel methodology to solve the CQLF problem for a finite set of stable second-order systems