Adaptive synchronisation of memristor-based neural networks with leakage delays and applications in chaotic masking secure communication

Jian Liu and Rui Xu

International Journal of Systems Science, 2018, vol. 49, issue 6, 1300-1315

Abstract: Chaotic synchronisation has caused extensive attention due to its potential application in secure communication. This paper is concerned with the problem of adaptive synchronisation for two different kinds of memristor-based neural networks with time delays in leakage terms. By applying set-valued maps and differential inclusions theories, synchronisation criteria are obtained via linear matrix inequalities technique, which guarantee drive system being synchronised with response system under adaptive control laws. Finally, a numerical example is given to illustrate the feasibility of our theoretical results, and two schemes for secure communication are introduced based on chaotic masking method.

Date: 2018
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DOI: 10.1080/00207721.2018.1443232

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