Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 354, Issue 7, Pages 3021-3038Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2017.02.028
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Funding
- National Natural Science Foundation of China [61573096, 61272530]
- Natural Science Foundation of Jiangsu Province of China [BK2012741]
- 333 Engineering Foundation of Jiangsu Province of China [BRA2015286]
- Scientific Research Foundation of Graduate School of Southeast University [YBJJ1663]
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In this paper, we formulate and investigate the passivity analysis of delayed reaction-diffusion neural networks with Cohen-Grossberg type. The derivative of the Lyapunov-Krasovskii functional was estimated by the new agencies of Hardy-Poincare inequality and some analysis techniques. Subsequently, some new and concise conditions to check the passivity of the given Cohen-Grossberg neural networks were summarized. The proposed criteria not only depends on the system parameters, reaction-diffusion coefficients but also on the regional feature. Furthermore, as corollaries, some sufficient schemes are provided to achieve passive and exponential passive of delayed Cohen-Grossberg neural networks without reaction-diffusion term. The results obtained in this paper generalize and improve many known results. Finally, two numerical examples and its simulations are proposed to show the effectiveness and merits of the improved theoretical results. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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