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Improved Results on Adaptive Control Approach for Projective Synchronization of Neural Networks with Time-Varying Delay

  • Abdujelil Abdurahman ORCID logo EMAIL logo , Malika Sader and Haijun Jiang
Published/Copyright: July 16, 2019

Abstract

Compared to other types of synchronization such as complete synchronization and lag synchronization, there is a unique advantage in projective synchronization since it can greatly improve the security of communication. In this paper, the projective synchronization problem of a class of chaotic neural networks with time-varying delay is investigated via designing a novel adaptive controller. Some simple and useful criteria are derived by employing Lyapunov functional method and Lagrange mean value theorem. Finally, an example and its numerical simulations are given to demonstrate the effectiveness of the proposed control schemes. It is worth to mention that the designed controller in this paper dos not require any knowledge about the activation functions, which can be seen the main novelty of the paper.

MSC 2010: 93C40; 34D06; 34H10; 93C15

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant nos. 61703358 and 11601464) and the Scientific Research Program of the Higher Education Institution of Xinjiang (Grant nos. XJEDU2019S001, XJEDU2019T001).

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Received: 2018-01-02
Accepted: 2019-06-25
Published Online: 2019-07-16
Published in Print: 2019-10-25

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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