Synchronization of discrete-time CDNs via delayed impulsive control

Bin Liu, Tao Liu, David J. Hill

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

3 Citations (Scopus)

Abstract

This paper investigates the delayed impulsive control for synchronization of discrete-time complex dynamical networks (CDNs). The original dynamical network is complex with respect to the unstable or chaotic nodes, coupling time-delays, and time-varying, and thus it does not have the synchronization property. A synchronization scheme of impulsive control with delayed signal inputs is proposed for the discrete-time CDNs via hybrid discrete-time. By utilizing methods such as matrix spectrum and eigenvalue theory and dwell time, global uniform exponential stability (GUES) criteria are derived for the error system, under which exponential synchronization is achieved for the CDN. Moreover, by only delayed impulsive control signals, the exponential synchronization is realized for the CDN with coupling time-delays. Finally, two examples with numerical simulations are worked out for illustration.

Original languageEnglish
Title of host publication8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010
PublisherElsevier - International Federation of Automatic Control (IFAC)
Pages143-148
Number of pages6
Edition14
ISBN (Print)9783902661807
DOIs
Publication statusPublished - 2010
Externally publishedYes
EventSymposium on Nonlinear Control Systems 2010 - Bologna, Italy
Duration: 1 Sept 20101 Sept 2010
Conference number: 8th
https://www.sciencedirect.com/journal/ifac-proceedings-volumes/vol/43/issue/14

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number14
Volume43
ISSN (Print)1474-6670

Conference

ConferenceSymposium on Nonlinear Control Systems 2010
Country/TerritoryItaly
CityBologna
Period1/09/101/09/10
Internet address

Cite this