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Synchronization Criterion of Complex Dynamical Networks with Both Leakage Delay and Coupling Delay on Time Scales

  • M. Syed Ali
  • J. Yogambigai
Article

Abstract

The purpose of this paper is to investigate the problem of synchronization for complex dynamical networks with both leakage delay and coupling delay on time scales. Some novel and useful synchronization criteria of complex dynamical networks are derived based on stability theory of error dynamical system. By employing the standard Lyapunov–Krasovski functional and the modified Jensen’s inequalities on time scale, new sufficient conditions guaranteeing the global exponential stability of the origin of complex dynamical networks are established in terms of linear matrix inequality. Finally, numerical example is exploited to demonstrate the effectiveness of the proposed theoretical results.

Keywords

Complex dynamical networks Lyapunov–Krasovski method Leakage delay Coupling delay Linear matrix inequality 

Notes

Acknowledgements

Funding was provided by Department of Atomic Energy, Government of India (Grant No. 2/48(5)/2016/NBHM(R.P)/RD-II/14088).

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsThiruvalluvar UniversitySerkkadu, VelloreIndia

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