Robust stability for delay Lur'e control systems with multiple nonlinearities
type: Item
instance of: scholarly article
title: Robust stability for delay Lur'e control systems with multiple nonlinearities
zbMATH Open document ID: 1076.93036
author: Xianqiang Yang
published in: Journal of Computational and Applied Mathematics
publication date: 2005-02-22T00:00:00Z
review text: This paper considers the problem of the existence of a Lyapunov functional in the extended Lur'e form with a negative definite derivative that guarantees the robust absolute stability of a delay Lur'e control system with multiple nonlinearities in a bounded sector. The existence problem is converted to the problem of solving a set of linear matrix inequalities. A numerical example is presented to illustrate that the delay-dependent criteria thus obtained are less conservative than the delay-independent criteria.
reviewed by: Mihail Megan
Mathematics Subject Classification ID: 93D10
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 2136527
zbMATH Keywords: Lur'e control systems
zbMATH Keywords: robust absolute stability
zbMATH Keywords: Lyapunov functionals
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: delay system
zbMATH Keywords: delay-dependent criteria
MaRDI profile type: Publication
full work available at URL: j.cam.2004.07.025
OpenAlex ID: W2146425688
cites work: Extension of Popov absolute stability criterion to non-autonomous systems with delays
cites work: Absolute stability criteria with prescribed decay rate for finite-dimensional and delay systems
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Delay-dependent robust stabilization of uncertain systems with multiple state delays
cites work: An improved stabilization method for linear time-delay systems
cites work: Delay-dependent stability and H ∞ control: Constant and time-varying delays
cites work: Lyapunov functional for multiple delay general Lurie systems with multiple nonlinearities
cites work: Lyapunov function of general Lurie systems with multiple nonlinearities
cites work: On absolute stability and the Aizerman conjecture
cites work: Absolute stability for multiple delay general Lur'e control systems with multiple nonlinearities
cites work: Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
cites work: Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty
cites work: Delay-dependent robust stabilization of uncertain state-delayed systems
cites work: Q5684916
cites work: A delay-dependent stability criterion for systems with uncertain time-invariant delays
cites work: Absolute stability of nonlinear systems of automatic control
cites work: Stability of Lurie-type functional equations
cites work: Robust stability of delay dependence for linear uncertain systems
cites work: Output feedback H∞ control of systems with parameter uncertainty
cites work: An improvement on "Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty"
cites work: Q3822532
DOI: 10.1016/J.CAM.2004.07.025
description: scientific article; zbMATH DE number 2136527