Journal
NEUROCOMPUTING
Volume 292, Issue -, Pages 91-103Publisher
ELSEVIER
DOI: 10.1016/j.neucom.2018.02.077
Keywords
Cellular neural networks; Quaternion; Global exponential stability; Periodic solution; Time-varying delays
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Funding
- National Natural Science Foundation of People's Republic of China [11361072]
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In this paper, a class of quaternion-valued cellular neural networks (QVCNNs) with time-varying delays is considered. By using the continuation theorem of Mawhin's coincidence degree theory, the existence of periodic solutions for QVCNNs is obtained. By constructing a suitable Lyapunov function, some sufficient conditions are derived to guarantee the global exponential stability of periodic solutions for QVCNNs. Finally, two examples are given to illustrate the effectiveness of the obtained results. (c) 2018 Elsevier B.V. All rights reserved.
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