Multi-weighted Complex Structure on Fractional Order Coupled Neural Networks with Linear Coupling Delay: A Robust Synchronization Problem

Springer Science and Business Media LLC - Tập 51 - Trang 2453-2479 - 2020
A. Pratap1, R. Raja2, Ravi. P. Agarwal3, J. Cao4, O. Bagdasar5
1Vel Tech High Tech Dr Rangarajan Dr Sakunthala Engineering College, Chennai, India
2Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi, India
3Department of Mathematics, Texas A &M University-Kingsville, Kingsville, USA
4School of Mathematics, Southeast University, Nanjing, China
5Department of Electronics, Computing and Mathematics, University of Derby, Derby, UK

Tóm tắt

This sequel is concerned with the analysis of robust synchronization for a multi-weighted complex structure on fractional-order coupled neural networks (MWCFCNNs) with linear coupling delays via state feedback controller. Firstly, by means of fractional order comparison principle, suitable Lyapunov method, Kronecker product technique, some famous inequality techniques about fractional order calculus and the basis of interval parameter method, two improved robust asymptotical synchronization analysis, both algebraic method and LMI method, respectively are established via state feedback controller. Secondly, when the parameter uncertainties are ignored, several synchronization criterion are also given to ensure the global asymptotical synchronization of considered MWCFCNNs. Moreover, two type of special cases for global asymptotical synchronization MWCFCNNs with and without linear coupling delays, respectively are investigated. Ultimately, the accuracy and feasibility of obtained synchronization criteria are supported by the given two numerical computer simulations.

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