Adaptive projective lag synchronization of uncertain complex dynamical networks with delay coupling

Ghada Al-Mahbashi, Mohd. Salmi Md. Noorani, Sakhinah Abu Bakar, Mohammed Mossa Al-Sawalha

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This paper investigates the problem of projective lag synchronization behavior with delayed coupling in drive-response dynamical networks model with identical and non-identical nodes. An adaptive control method is designed to achieve the projective lag synchronization with constant time delay and with time-varying coupling delay. In addition the model harbors fully unknown parameters and disturbances. By using Lyapunov stability theory and adaptive laws, the unknown parameters are estimated. In addition, the unknown bounded mismatch and disturbance terms are also overcome by the proposed control. Finally, the simulation results reveal that the states of the dynamical network with delayed coupling can be asymptotically synchronized onto a desired scaling factor under the designed controller. Additionally, the results prove the validity of the proposed method.

Original languageEnglish
Article number356
Pages (from-to)1-13
Number of pages13
JournalAdvances in Difference Equations
Volume2015
Issue number1
DOIs
Publication statusPublished - 1 Dec 2015

Fingerprint

Lag Synchronization
Projective Synchronization
Complex Dynamical Networks
Synchronization
Unknown Parameters
Ports and harbors
Disturbance
Time delay
Scaling Factor
Lyapunov Stability Theory
Dynamical Model
Adaptive Control
Controllers
Network Model
Time Delay
Time-varying
Controller
Unknown
Term
Vertex of a graph

Keywords

  • adaptive control
  • coupling delay
  • disturbance
  • drive-response dynamical networks
  • projective lag synchronization

ASJC Scopus subject areas

  • Applied Mathematics
  • Algebra and Number Theory
  • Analysis

Cite this

Adaptive projective lag synchronization of uncertain complex dynamical networks with delay coupling. / Al-Mahbashi, Ghada; Md. Noorani, Mohd. Salmi; Abu Bakar, Sakhinah; Al-Sawalha, Mohammed Mossa.

In: Advances in Difference Equations, Vol. 2015, No. 1, 356, 01.12.2015, p. 1-13.

Research output: Contribution to journalArticle

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