Exponential Stability of Linear Delay Difference Equations with Continuous Time

Linear time-varying delay difference equations with continuous time are considered. New criteria for exponential stability are given. Furthermore, an explicit stability bound for equations subject to time-varying perturbations is presented. Some examples are given to illustrate the obtained results.

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Bibliographic Details
Published inVietnam journal of mathematics Vol. 43; no. 2; pp. 195 - 205
Main Authors Anh Ngoc, Pham Huu, Huy, Nguyen Dinh
Format Journal Article
LanguageEnglish
Published Singapore Springer Singapore 01.06.2015
Subjects
Mathematics
Mathematics and Statistics
45A05
Perturbed equation
39A30
Exponential stability
Delay difference equation with continuous time
Online AccessGet full text
ISSN2305-221X
2305-2228
DOI10.1007/s10013-014-0082-2

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Summary:Linear time-varying delay difference equations with continuous time are considered. New criteria for exponential stability are given. Furthermore, an explicit stability bound for equations subject to time-varying perturbations is presented. Some examples are given to illustrate the obtained results.
ISSN:2305-221X
2305-2228
DOI:10.1007/s10013-014-0082-2