O(t−β) -Synchronization and Asymptotic Synchronization of Delayed Fractional Order Neural Networks
Journal article
Authors | Pratap, A., Raja, R., Cao, J., Huang, C., Alzabut, J. and Bagdasar, O. |
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Abstract | This article explores the O(t−β) synchronization and asymptotic synchronization for fractional order BAM neural networks (FBAMNNs) with discrete delays, distributed delays and non-identical perturbations. By designing a state feedback control law and a new kind of fractional order Lyapunov functional, a new set of algebraic sufficient conditions are derived to guarantee the O(t−β) Synchronization and asymptotic synchronization of the considered FBAMNNs model; this can easily be evaluated without using a MATLAB LMI control toolbox. Finally, two numerical examples, along with the simulation results, illustrate the correctness and viability of the exhibited synchronization results. |
Keywords | 34K24; 34K37; 93D20; fractional order; BAM neural networks; O(t−β)-synchronization; state feedback control law; asymptotic synchronization |
Year | 2022 |
Journal | Acta Mathematica Scientia |
Journal citation | Vol 42 (Issue 4), p. 1273–1292 |
Publisher | Springer |
ISSN | 1572-9087 |
02529602 | |
Digital Object Identifier (DOI) | https://doi.org/10.1007/s10473-022-0402-7 |
Web address (URL) | http://www.scopus.com/inward/record.url?eid=2-s2.0-85132897273&partnerID=MN8TOARS |
https://link.springer.com/article/10.1007/s10473-022-0402-7 | |
Output status | Published |
Publication dates | Apr 2022 |
Online | 21 Jun 2022 |
Publication process dates | |
Deposited | 25 May 2023 |
https://repository.derby.ac.uk/item/9yyvz/o-t-synchronization-and-asymptotic-synchronization-of-delayed-fractional-order-neural-networks
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