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Finite-time and fixed-time synchronization analysis of inertial memristive neural networks with time-varying delays

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Abstract

This paper investigates the finite-time synchronization and fixed-time synchronization problems of inertial memristive neural networks with time-varying delays. By utilizing the Filippov discontinuous theory and Lyapunov stability theory, several sufficient conditions are derived to ensure finite-time synchronization of inertial memristive neural networks. Then, for the purpose of making the setting time independent of initial condition, we consider the fixed-time synchronization. A novel criterion guaranteeing the fixed-time synchronization of inertial memristive neural networks is derived. Finally, three examples are provided to demonstrate the effectiveness of our main results.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 61573096 and 61272530.

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Authors and Affiliations

  1. Research Center for Complex Systems and Network Sciences, School of Mathematics, Southeast University, Nanjing, 210096, China

    Ruoyu Wei & Jinde Cao

  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Ahmed Alsaedi

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  1. Ruoyu Wei
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  2. Jinde Cao
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  3. Ahmed Alsaedi
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Correspondence to Jinde Cao.

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Wei, R., Cao, J. & Alsaedi, A. Finite-time and fixed-time synchronization analysis of inertial memristive neural networks with time-varying delays. Cogn Neurodyn 12, 121–134 (2018). https://doi.org/10.1007/s11571-017-9455-z

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  • DOI: https://doi.org/10.1007/s11571-017-9455-z

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