On construction of Lyapunov functions for scalar linear time-varying systems

DOI10.1016/j.sysconle.2019.104591zbMath1433.93121OpenAlexW2994029644MaRDI QIDQ2303941

Yanyan Li

Publication date: 6 March 2020

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2019.104591

zbMATH Keywords

linear time-varying systemsLyapunov differential equationsconstruction of Lyapunov functionsuniformly asymptotic stableuniformly exponentially expanding

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20)

Related Items (5)

Stability of linear second-order time-varying differential equations via contractive polygons ⋮ Stability and observer designs using new variants of Halanay's inequality ⋮ Lyapunov differential equations and inequalities for stability and stabilization of linear time-varying systems ⋮ Further results on the construction of strict Lyapunov-Krasovskii functionals for time-varying time-delay systems ⋮ Strict Lyapunov functions and feedback controls for SIR models with quarantine and vaccination

Cites Work

• Unnamed Item
• On asymptotic stability of linear time-varying systems
• Extensions of Razumikhin's theorem and Lyapunov-Krasovskii functional constructions for time-varying systems with delay
• Strict Lyapunov functions for time-varying systems with persistency of excitation
• Robustness of stability of time-varying linear systems
• On input-to-state stability of systems with time-delay: a matrix inequalities approach
• Constructions of strict Lyapunov functions
• A unified Razumikhin-type criterion on input-to-state stability of time-varying impulsive delayed systems
• Razumikhin-type theorems for time-delay systems with persistent impulses
• Stability analysis of linear time-varying time-delay systems by non-quadratic Lyapunov functions with indefinite derivatives
• Lyapunov conditions for finite-time stability of time-varying time-delay systems
• Stabilizability of systems with exponential dichotomy
• Strict Lyapunov functions for time-varying systems
• Input-to-state stability of nonlinear systems based on an indefinite Lyapunov function
• Construction of strict Lyapunov-Krasovskii functionals for time-varying time-delay systems
• TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
• Estimation and Feedback in Linear Time-Varying Systems: A Deterministic Theory
• A characterization of integral input-to-state stability
• On the estimation of the consensus rate of convergence in graphs with persistent interconnections
• Uniform Global Asymptotic Stability of a Class of Adaptively Controlled Nonlinear Systems
• Lyapunov Stability of Linear Predictor Feedback for Time-Varying Input Delay
• Some New Criteria on $p$th Moment Stability of Stochastic Functional Differential Equations With Markovian Switching
• Lyapunov Functions for Persistently-Excited Cascaded Time-Varying Systems: Application to Consensus

This page was built for publication: On construction of Lyapunov functions for scalar linear time-varying systems