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Delayed Feedback Controller based Finite Time Synchronization of Discontinuous Neural Networks with Mixed Time-Varying Delays

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Abstract

This paper addresses finite-time synchronization of artificial neural networks with discrete and distributed time-varying delays as well as discontinuous neuron activation functions which may be unbounded or non-monotonic. Under the framework of Filippov solution, delay feedback controller is studied by constructing nonsmooth Lyapunov function and differential inclusions theory based on finite time convergence theorem. Several effective new criteria are derived. Moreover, the estimation of settling time is established. The obtained results ensure that the synchronization in finite time is achieved. Finally, simulation results are presented to demonstrate the analytical results.

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Acknowledgements

The authors are grateful to the Editor and learned reviewers for their valuable comments and suggestions to improve the standard of the paper. This work is supported by Indian Institute of Engineering Science and Technology under institute fellowship.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Shibpur, Howrah, West Bengal, 711103, India

    Parthasakha Das, Pritha Das & Amitava Kundu

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  1. Parthasakha Das
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  2. Pritha Das
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  3. Amitava Kundu
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Correspondence to Parthasakha Das.

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Das, P., Das, P. & Kundu, A. Delayed Feedback Controller based Finite Time Synchronization of Discontinuous Neural Networks with Mixed Time-Varying Delays. Neural Process Lett 49, 693–709 (2019). https://doi.org/10.1007/s11063-018-9850-4

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