Journal
NEURAL PROCESSING LETTERS
Volume 51, Issue 3, Pages 2453-2479Publisher
SPRINGER
DOI: 10.1007/s11063-019-10188-5
Keywords
Robust synchronization; Fractional order; Coupled neural networks; Kronecker product; Linear coupling delays
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Funding
- RUSA-Phase 2.0 grant, Policy (TN Multi-Gen), Dept. of Edn. Govt. of India [F 24-51/2014-U]
- UGC-SAP (DRS-I) [F.510/8/DRSI/2016(SAP-I)]
- DST (FIST - level I) [657876570, SR/FIST/MS-I/2018/17]
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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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