Exponential stability of discrete time uncertain systems with time-varying delay
type: Item
instance of: scholarly article
title: Exponential stability of discrete time uncertain systems with time-varying delay
zbMATH Open document ID: 0853.93085
DOI: 10.1016/0016-0032(95)00058-5
author: Tsung-Lieh Hsien
author: Chien-Hua Lee
published in: Journal of the Franklin Institute
publication date: 1996-07-14T00:00:00Z
review text: This paper considers the robust stability of nonlinear uncertain delay systems of the form \[ x(k + 1) = Ax (k) + A_dx \bigl( k - i(k) \bigr) + \Delta A \bigl[ x(k) \bigr] + \Delta A_d \biggl[ x \bigl( k - i(k) \bigr) \biggr]. \] Using simple linear subestimates for the nonlinear terms, and a standard application of Lyapunov theory, three elementary theorems are proved on robust stability which require, essentially, \(|A |+ |A_d |+ |\Delta A |+ |\Delta A_d |< 1\).
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 34K35
zbMATH DE Number: 902640
zbMATH Keywords: robust stability
zbMATH Keywords: nonlinear
zbMATH Keywords: uncertain delay systems
reviewed by: S. P. Banks
MaRDI profile type: Publication
full work available at URL: 0016-0032(95)00058-5
OpenAlex ID: W2001796142
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description: scientific article; zbMATH DE number 902640