A novel approach to exponential stability of nonlinear non-autonomous difference equations with variable delays
Version 2 2024-06-02, 13:23
Version 1 2016-10-13, 10:57
journal contribution
posted on 2024-06-02, 13:23 authored by L HienIn this paper, by using a novel approach, we first prove a new generalization of discrete-type Halanay inequality. Based on our new generalized inequality, a novel criterion for the exponential stability of a certain class of nonlinear non-autonomous difference equations is proposed. Numerical examples are given to illustrate the effectiveness of the obtained results.
History
Journal
Applied mathematics lettersVolume
38Pagination
7-13Location
Amsterdam, The NetherlandsPublisher DOI
Open access
- Yes
Link to full text
ISSN
0893-9659eISSN
1873-5452Language
engPublication classification
C Journal article, C1.1 Refereed article in a scholarly journalCopyright notice
2014, ElsevierPublisher
ElsevierUsage metrics
Keywords
discrete Halanay inequalityexponential stabilityNon-autonomous systemsTime-varying delaysSchool of Engineering970109 Expanding Knowledge in Engineering010203 Calculus of Variations, Systems Theory and Control Theory010204 Dynamical Systems in Applications090602 Control Systems, Robotics and Automation
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC