Robust projective lag synchronization in drive-response dynamical networks via adaptive control

G. Al-mahbashi, Mohd. Salmi Md. Noorani, Sakhinah Abu Bakar, M. M. Al-sawalha

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

This paper investigates the problem of projective lag synchronization behavior in drive-response dynamical networks (DRDNs) with identical and non-identical nodes. An adaptive control method is designed to achieve projective lag synchronization with fully unknown parameters and unknown bounded disturbances. These parameters were estimated by adaptive laws obtained by Lyapunov stability theory. Furthermore, sufficient conditions for synchronization are derived analytically using the Lyapunov stability theory and adaptive control. In addition, the unknown bounded disturbances are also overcome by the proposed control. Finally, analytical results show that the states of the dynamical network with non-delayed coupling can be asymptotically synchronized onto a desired scaling factor under the designed controller. Simulation results show the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)51-64
Number of pages14
JournalEuropean Physical Journal: Special Topics
Volume225
Issue number1
DOIs
Publication statusPublished - 1 Feb 2016

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adaptive control
synchronism
Synchronization
time lag
disturbances
control theory
controllers
scaling
Controllers
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Materials Science(all)
  • Physical and Theoretical Chemistry

Cite this

Robust projective lag synchronization in drive-response dynamical networks via adaptive control. / Al-mahbashi, G.; Md. Noorani, Mohd. Salmi; Abu Bakar, Sakhinah; Al-sawalha, M. M.

In: European Physical Journal: Special Topics, Vol. 225, No. 1, 01.02.2016, p. 51-64.

Research output: Contribution to journalArticle

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