On delay-dependent stability and decay estimate for uncertain systems with time-varying delay
type: Item
instance of: scholarly article
title: On delay-dependent stability and decay estimate for uncertain systems with time-varying delay
zbMATH Open document ID: 0951.93059
DOI: 10.1016/S0005-1098(98)00045-4
author: Yongru Gu
author: Shouchen Wang
author: Qiqiang Li
author: Zhengqun Cheng
author: Jixin Qian
published in: Automatica
publication date: 2000-12-19T00:00:00Z
review text: The authors consider the system described by the equation \[ \dot x=(A+\Delta A(t))x(t)+(A_1+\Delta A_1(t))x(t-\tau (t)). \] It is assumed that with induced matrix 2-norm \[ \|\Delta A(t)\|\leq \alpha (t\geq 0) \] and \[ \|\Delta A_1(t)\|\leq \alpha_1 (t\geq 0). \] Explicit stability conditions are established. The main result of the paper is similar to the particular case of Theorem 9.7.1 from the book by \textit{M. I. Gil'} [Stability of finite and infinite dimensional systems, Kluwer Academic Publishers, Boston etc. (1998; Zbl 0916.93002)].
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1325628
zbMATH Keywords: linear delay systems
zbMATH Keywords: robust stability
reviewed by: Michael I. Gil'
MaRDI profile type: Publication
full work available at URL: s0005-1098(98)00045-4
OpenAlex ID: W2070618312
description: scientific article; zbMATH DE number 1325628