Robust stabilization of linear continuous systems subjected to time-varying state delay and perturbations
type: Item
instance of: scholarly article
title: Robust stabilization of linear continuous systems subjected to time-varying state delay and perturbations
zbMATH Open document ID: 0886.93057
DOI: 10.1016/0016-0032(96)00039-7
author: Chien-Hua Lee
published in: Journal of the Franklin Institute
publication date: 1998-05-10T00:00:00Z
review text: This paper discusses the time-varying perturbed time-delay system \[ \dot X(t)= \bigl(A+ \Delta A(r,t)\bigr) X(t)+ \bigl(A_1 +\Delta A_1 (v,t)\bigr) X(\bigl(t-h(t) \bigr) +Bu(t). \] By making use of the Lyapunov stability approach associated with norm or matrix measure techniques, a new stabilizability criterion and the corresponding memoryless state feedback control laws that guarantee to stabilize the system above are developed. The main feature of the present schemes is that the proposed stabilizability criterion does not involve any matching conditions.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 1060101
zbMATH Keywords: robust stabilization
zbMATH Keywords: linear system
zbMATH Keywords: time-varying perturbed time-delay system
zbMATH Keywords: memoryless state feedback
zbMATH Keywords: stabilizability
zbMATH Keywords: matching conditions
MaRDI profile type: Publication
full work available at URL: 0016-0032(96)00039-7
OpenAlex ID: W2090904002
cites work: Studies in the modelling and control of a national economy
cites work: Modelling and hierarchical optimization for oversaturated urban road traffic networks
cites work: A Discrete Dynamic Model with Distributed Transport Delays and Its Hierarchical Optimization for Preserving Stream Quality
cites work: Decentralized optimization for distributed-lag models of discrete systems
cites work: Discrete-time optimal control of systems with unilateral time-delays
cites work: General decentralized stabilization of large-scale linear continuous and discrete time-delay systems
cites work: Closed-loop properties of the infinite-time linear-quadratic optimal regulator for systems with delays
cites work: Finite-Dimensional Compensators for Infinite-Dimensional Systems with Unbounded Input Operators
cites work: On controllability and observability of time delay systems
cites work: On spectrum placement for linear time invariant delay systems
cites work: Stabilization of linear systems with non-commensurate delays
cites work: Finite spectrum assignment and observer for multivariable systems with commensurate delays
cites work: Stabilization of large-scale non-linear infinite delay systems
cites work: On stabilizing uncertain linear delay systems
cites work: Stabilization of uncertain dynamic systems including state delay
cites work: A Riccati equation approach to the stabilization of uncertain linear systems
cites work: Memoryless stabilization of uncertain linear systems including time-varying state delays
cites work: Uniform ultimate boundedness of the solutions of uncertain dynamic delay systems with state-dependent and memoryless feedback control
cites work: Stabilization of linear systems with time-varying delay
cites work: Inertia characteristics of self-adjoint matrix polynomials
cites work: Q3141919
cites work: Stability robustness bounds for linear state-space models with structured uncertainty
description: scientific article; zbMATH DE number 1060101