Stability and pinning synchronization analysis of fractional order delayed Cohen–Grossberg neural networks with discontinuous activations
Journal article
Authors | Pratap, A., Raja, R., Cao, J., Lim, C.P. and Bagdasar, Ovidiu |
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Abstract | This article, we explore the asymptotic stability and asymptotic synchronization analysis of fractional order delayed Cohen–Grossberg neural networks with discontinuous neuron activation functions (FCGNNDDs). First, under the framework of Filippov theory and differ- ential inclusion theoretical analysis, the global existence of Filippov solution for FCGNNDDs is studied by means of the given growth condition. Second, by virtue of suitable Lyapunov functional, Young inequality and comparison theorem for fractional order delayed linear system, some global asymptotic stability conditions for such system is derived by limiting discontinuous neuron activations. Third, the global asymptotic synchronization condition for FCGNNDDs is obtained based on the pinning control. At last, two numerical simula- tions are given to verify the theoretical findings. |
Keywords | Asymptotic stability; Asymptotic synchronization; Fractional order systems; Time-delay; Filippov’s solutions; Pinning control |
Year | 2019 |
Journal | Applied Mathematics and Computation |
Journal citation | 359, pp. 241-260 |
Publisher | Elsevier |
ISSN | 00963003 |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.amc.2019.04.062 |
Web address (URL) | http://hdl.handle.net/10545/623800 |
http://creativecommons.org/publicdomain/zero/1.0/ | |
hdl:10545/623800 | |
Publication dates | 11 May 2019 |
Publication process dates | |
Deposited | 30 May 2019, 14:25 |
Accepted | 22 Apr 2019 |
Rights | CC0 1.0 Universal |
Contributors | University of Derby |
File | |
File | File Access Level Open |
File | File Access Level Open |
https://repository.derby.ac.uk/item/927y8/stability-and-pinning-synchronization-analysis-of-fractional-order-delayed-cohen-grossberg-neural-networks-with-discontinuous-activations
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