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Stability of positive coupled differential-difference equations with unbounded time-varying delays

Version 2 2024-06-03, 12:04
Version 1 2018-04-20, 15:52
journal contribution
posted on 2024-06-03, 12:04 authored by Pubudu PathiranaPubudu Pathirana, PT Nam, Hieu TrinhHieu Trinh
This paper considers the stability problem of a class of positive coupled differential-difference equations with unbounded time-varying delays. A new method, which is based on upper bounding of the state vector by a decreasing function, is presented to analyze the stability of the system. Different from the existing methods, our method does not use the usual Lyapunov–Krasovskii functional method or the comparison method based on positive systems with constant delays. A new criterion is derived which ensures asymptotic stability of the system with unbounded time-varying delays. A numerical example with simulation results is given to illustrate the stability criterion.

History

Journal

Automatica

Volume

92

Pagination

259-263

Location

Amsterdam, The Netherlands

ISSN

0005-1098

Language

eng

Publication classification

C1 Refereed article in a scholarly journal, C Journal article

Copyright notice

2018, Elsevier

Publisher

Elsevier