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Finite Time Stability Analysis of Fractional-Order Complex-Valued Memristive Neural Networks with Proportional Delays

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Abstract

In this paper, finite time stability analysis of fractional-order complex-valued memristive neural networks with proportional delays is investigated. Under the framework of Filippov solution and differential inclusion theory, by using H\(\ddot{o}\)lder inequality, Gronwall inequality and inequality scaling skills, some sufficient conditions are derived to ensure the finite-time stability of concerned fractional-order complex-valued memristive neural networks with fractional order \(\alpha \): \(0<\alpha <1/2\) and \(1/2\le \alpha <1\). In the end, two numerical examples are provided to illustrate the availability of the obtained results.

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Acknowledgements

This work is supported by the National Board for Higher Mathematics under Grant (2/48(5)/2016/NBHMR.P)/-R-D II/14088.

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Authors and Affiliations

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

    M. Syed Ali & G. Narayanan

  2. Department of Electrical and Electronics Engineering, NIET Great Noida, Greater Noida, Uttrapradesh, India

    Vineet Shekher

  3. Department of Computer Engineering, Faculty of Engineering, Istanbul University-Cerrahpasa, 34320, Avcilar, Istanbul, Turkey

    Zeynep Orman & Sabri Arik

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  1. M. Syed Ali
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Correspondence to Sabri Arik.

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The work of author was supported by NBHM Grant 2/48(5)/2016/NBHMR.P)/-R-D II/14088.

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Syed Ali, M., Narayanan, G., Orman, Z. et al. Finite Time Stability Analysis of Fractional-Order Complex-Valued Memristive Neural Networks with Proportional Delays. Neural Process Lett 51, 407–426 (2020). https://doi.org/10.1007/s11063-019-10097-7

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