The European Physical Journal Special Topics

, Volume 225, Issue 1, pp 51–64 | Cite as

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

Regular Article Synchronization and Control in Time Delayed and other Networks
Part of the following topical collections:
  1. Synchronization and Control in Time-Delayed Complex Networks and Spatio-Temporal Patterns


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.


Chaotic System European Physical Journal Special Topic Synchronization Error Identical Node Reference Node 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© EDP Sciences and Springer 2016

Authors and Affiliations

  1. 1.School of mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan MalaysiaSelangor Darul EhsanMalaysia
  2. 2.Faculty of Science, Mathematics Department, University of HailHailSaudi Arabia

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