Stability and control of nonlinear systems described by retarded functional equations: a review of recent results
type: Item
instance of: scholarly article
title: Stability and control of nonlinear systems described by retarded functional equations: a review of recent results
zbMATH Open document ID: 1182.93105
author: Iasson Karafyllis
author: Zhong-Ping Jiang
published in: Science in China. Series F
publication date: 2010-03-03T00:00:00Z
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 5676856
zbMATH Keywords: stability
zbMATH Keywords: nonlinear control
zbMATH Keywords: retarded functional equations
zbMATH Keywords: Lyapunov functions
zbMATH Keywords: Lyapunov functionals
MaRDI profile type: Publication
full work available at URL: s11432-009-0196-4
OpenAlex ID: W2028506133
cites work: Introduction to functional differential equations
cites work: Stability results for systems described by coupled retarded functional differential equations and functional difference equations
cites work: Delay effects on stability. A robust control approach
cites work: Small-gain theorem for ISS systems and applications
cites work: The non-uniform in time small-gain theorem for a wide class of control systems with outputs
cites work: A system-theoretic framework for a wide class of systems. I: Applications to numerical analysis
cites work: A system-theoretic framework for a wide class of systems. II: Input-to-output stability
cites work: A Small-Gain Theorem for a Wide Class of Feedback Systems with Control Applications
cites work: Global output stability for systems described by retarded functional differential equations: Lyapunov characterizations
cites work: Input-to-output stability for systems described by retarded functional differential equations
cites work: The Problem of the Absolute Continuity for Lyapunov–Krasovskii Functionals
cites work: A Smooth Converse Lyapunov Theorem for Robust Stability
cites work: Notions of input to output stability
cites work: Lyapunov Characterizations of Input to Output Stability
cites work: A Lyapunov--Krasovskii methodology for ISS and iISS of time-delay systems
cites work: Stabilization in spite of matched unmodeled dynamics and equivalent definition of input-to-state stability
cites work: Input-to-state dynamical stability and its Lyapunov function characterization
cites work: Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
cites work: Inverse Optimality in Robust Stabilization
cites work: Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems
cites work: Robust stabilization of a class of time-delay nonlinear systems
cites work: Comments on "Robust stabilization of a class time-delay nonlinear systems"
DOI: 10.1007/S11432-009-0196-4
description: scientific article; zbMATH DE number 5676856