Stability and pinning synchronization analysis of fractional order delayed Cohen–Grossberg neural networks with discontinuous activations
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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.Citation
Pratap, A., Raja, R., Cao, J., Lim, C.P. and Bagdasar, O., (2019). 'Stability and pinning synchronization analysis of fractional order delayed Cohen–Grossberg neural networks with discontinuous activations'. Applied Mathematics and Computation, 359, pp.241-260. DOI: 10.1016/j.amc.2019.04.062.Publisher
ElsevierJournal
Applied Mathematics and ComputationDOI
10.1016/j.amc.2019.04.062Additional Links
https://linkinghub.elsevier.com/retrieve/pii/S0096300319303509https://www.sciencedirect.com/science/article/pii/S0096300319303509?via%3Dihub
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enISSN
00963003ae974a485f413a2113503eed53cd6c53
10.1016/j.amc.2019.04.062
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