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

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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.

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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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Authors and Affiliations

  1. Department of Mathematics, Thiruvalluvar University, Serkkadu, Vellore, 632 106, Tamilnadu, India

    M. Syed Ali & J. Yogambigai

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  1. M. Syed Ali
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  2. J. Yogambigai
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Correspondence to M. Syed Ali.

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Syed Ali, M., Yogambigai, J. Synchronization Criterion of Complex Dynamical Networks with Both Leakage Delay and Coupling Delay on Time Scales. Neural Process Lett 49, 453–466 (2019). https://doi.org/10.1007/s11063-018-9821-9

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  • DOI: https://doi.org/10.1007/s11063-018-9821-9

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