Journal
MATHEMATICS
Volume 7, Issue 8, Pages -Publisher
MDPI
DOI: 10.3390/math7080759
Keywords
memristive BAM neural networks; hybrid control; mixed delays; synchronization
Categories
Funding
- RUSA-Phase 2.0 Grant [F 24-51/2014-U]
- Policy (TN Multi-Gen), Dept. of Edn. Govt. of India
- UGC-SAP (DRS-I) Grant [F.510/8/DRS-I/2016(SAP-I)]
- DST (FIST-level I) [657876570, SR/FIST/MS-I/2018/17]
- Prince Sultan University through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group [RG-DES-2017-01-17]
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This sequel is concerned with the analysis of projective lag synchronization of Riemann-Liouville sense fractional order memristive BAM neural networks (FOMBNNs) with mixed time delays via hybrid controller. Firstly, a new type of hybrid control scheme, which is the combination of open loop control and adaptive state feedback control is designed to guarantee the global projective lag synchronization of the addressed FOMBNNs model. Secondly, by using a Lyapunov-Krasovskii functional and Barbalet's lemma, a new brand of sufficient criterion is proposed to ensure the projective lag synchronization of the FOMBNNs model considered. Moreover, as special cases by using a hybrid control scheme, some sufficient conditions are derived to ensure the global projective synchronization, global complete synchronization and global anti-synchronization for the FOMBNNs model considered. Finally, numerical simulations are provided to check the accuracy and validity of our obtained synchronization results.
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