Adaptive Synchronization of Chaotic SC-CNN with Uncertain State Template

The problem of synchronization of chaotic State Controlled Cellular Neural Network (SC-CNN) with uncertain state template is investigated. In detail, the following three cases are solved: firstly, synchronization of two identical chaotic SC-CNNs with uncertain state template, secondly, synchronizati...

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Bibliographic Details
Published in:Mathematical problems in engineering 2015-01, Vol.2015 (2015), p.1-10
Main Authors: Dam Thanh, Phuong, Pham Thuong, Cat
Format: Article
Language:English
Subjects:
Artificial neural networks
Cellular
Cellular communication
Chaos theory
Controllers
Inequality
Mathematical analysis
Mathematical problems
Neural networks
Parameter uncertainty
Stability
Synchronism
Synchronization
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Summary:The problem of synchronization of chaotic State Controlled Cellular Neural Network (SC-CNN) with uncertain state template is investigated. In detail, the following three cases are solved: firstly, synchronization of two identical chaotic SC-CNNs with uncertain state template, secondly, synchronization of two nonidentical chaotic SC-CNNs with all uncertain state templates, and, thirdly, synchronization between chaotic SC-CNN with uncertain state template and different uncertain parameter chaotic systems. The controllers and update laws proposed in each case are proved closely based on Lyapunov stability theory. In addition, someillustrative corresponding examples are presented to demonstrate the effectiveness and usefulness of the proposed control laws.
ISSN:1024-123X
1563-5147
DOI:10.1155/2015/909680