Exponential synchronization of Markovian jumping chaotic neural networks with sampled-data and saturating actuators

This paper deals with the problem of exponential synchronization of Markovian jumping chaotic neural networks with saturating actuators using a sampled-data controller. By constructing a proper Lyapunov–Krasovskii functional (LKF) with triple integral terms, and employing Jensen’s inequality, some n...

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Bibliographic Details
Published in:Nonlinear analysis. Hybrid systems 2017-05, Vol.24, p.28-44
Main Authors: Rakkiyappan, R., Preethi Latha, V., Zhu, Quanxin, Yao, Zhangsong
Format: Article
Language:English
Subjects:
Chaotic system
Exponential synchronization
Linear matrix inequality
Markovian jumping neural network
Sampled-data
Saturating actuator
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Summary:This paper deals with the problem of exponential synchronization of Markovian jumping chaotic neural networks with saturating actuators using a sampled-data controller. By constructing a proper Lyapunov–Krasovskii functional (LKF) with triple integral terms, and employing Jensen’s inequality, some new sufficient conditions for the exponential synchronization of considered chaotic neural networks are derived in terms of linear matrix inequalities (LMIs). The obtained LMIs can be easily solved by any of the available software. Finally, the numerical examples are provided to demonstrate the effectiveness of our theoretical results.
ISSN:1751-570X
DOI:10.1016/j.nahs.2016.10.004