Stability analysis for a class of functional differential equations and applications
type: Item
instance of: scholarly article
title: Stability analysis for a class of functional differential equations and applications
zbMATH Open document ID: 1201.34121
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-12-18T00:00:00Z
review text: This paper is concerned with the problem of exponential stability for a class of nonlinear functional differential equations. The system under consideration is nonautonomous and the delay is time-varying. Using an improved Lyapunov-Krasovskii functional, neither model variable transformation nor bounding restriction on nonlinear perturbations is required, the authors establish new conditions for the exponential stability and stabilization of the system. The conditions are given in terms of the solution of a Riccati differential equation.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 5649965
zbMATH Keywords: Lyapunov-Krasovskii functional
zbMATH Keywords: stability
zbMATH Keywords: time-varying delay
author: V. N. Phat
author: P. Niamsup
reviewed by: Alexander O. Ignatyev
MaRDI profile type: Publication
full work available at URL: j.na.2009.06.028
OpenAlex ID: W2002186031
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DOI: 10.1016/J.NA.2009.06.028
description: scientific article; zbMATH DE number 5649965