Paper Info
Title
Stability and pinning synchronization analysis of fractional order delayed Cohen-Grossberg neural networks with discontinuous activations.
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 differential 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 simulations are given to verify the theoretical findings.
Year
DOI
Venue
2019
10.1016/j.amc.2019.04.062
Applied Mathematics and Computation
Keywords
Field
DocType
Asymptotic stability,Asymptotic synchronization,Fractional order systems,Time-delay,Filippov’s solutions,Pinning control
Differential inclusion,Young's inequality,Synchronization,Linear system,Mathematical analysis,Exponential stability,Artificial neural network,Comparison theorem,Mathematics,Bifurcation
Journal
Volume
ISSN
Citations 
359
0096-3003
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
A. Pratap1162.25
R. Raja218012.58
Jinde Cao311399733.03
Chee Peng Lim41459122.04
Ovidiu Bagdasar5107.39