期刊
NEURAL NETWORKS
卷 84, 期 -, 页码 125-142出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2016.08.008
关键词
Complex-valued neural networks; Multistability; Discontinuous function; Attraction basin
资金
- National Natural Science Foundation of China [61673110]
- Natural Science Foundation of Jiangsu Province of China [BK20130017]
- Six Talent Peaks Project for the High Level Personnel from the Jiangsu Province of China [2015-DZXX-003]
- Graduate Research and Innovation Program of Jiangsu Province [KYLX_0083]
- Qatar National Research Fund (a member of Qatar Foundation) [NPRP 7-1482-1-278]
In this paper, based on the geometrical properties of the discontinuous activation functions and the Brouwer's fixed point theory, the multistability issue is tackled for the complex-valued neural networks with discontinuous activation functions and time-varying delays. To address the network with discontinuous functions, Filippov solution of the system is defined. Through rigorous analysis, several sufficient criteria are obtained to assure the existence of 25(n) equilibrium points. Among them, 9(n) points are locally stable and 16(n) - 9(n) equilibrium points are unstable. Furthermore, to enlarge the attraction basins of the 9(n) equilibrium points, some mild conditions are imposed. Finally, one numerical example is provided to illustrate the effectiveness of the obtained results. (C) 2016 Elsevier Ltd. All rights reserved.
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