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Open AccessFeature PaperArticle

Hybrid Control Scheme for Projective Lag Synchronization of Riemann–Liouville Sense Fractional Order Memristive BAM NeuralNetworks with Mixed Delays

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Department of Mathematics, Maejo University, Chiangmai 50290, Thailand
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Vel Tech High Tech Dr Rangarajan Dr Sakunthala Engineering College, Avadi 600 062, India
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Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 004, India
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School of Mathematics, Southeast University, Nanjing 211189, China
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Department of Mathematics and General Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia
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Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Department of Applied Mathematics, Changsha University of Science and Technology, Changsha 410114, China
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(8), 759; https://doi.org/10.3390/math7080759
Received: 12 July 2019 / Revised: 13 August 2019 / Accepted: 14 August 2019 / Published: 19 August 2019
(This article belongs to the Special Issue Impulsive Control Systems and Complexity)
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. View Full-Text
Keywords: memristive BAM neural networks; hybrid control; mixed delays; synchronization memristive BAM neural networks; hybrid control; mixed delays; synchronization
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MDPI and ACS Style

Rajchakit, G.; Pratap, A.; Raja, R.; Cao, J.; Alzabut, J.; Huang, C. Hybrid Control Scheme for Projective Lag Synchronization of Riemann–Liouville Sense Fractional Order Memristive BAM NeuralNetworks with Mixed Delays. Mathematics 2019, 7, 759.

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