Multistability and complete convergence analysis on high-order neural networks with a class of nonsmooth activation functions

doi:10.1016/j.neucom.2014.10.075

CORC > 上海财经大学 > 上海财经大学

	Multistability and complete convergence analysis on high-order neural networks with a class of nonsmooth activation functions
	Wang, Lili 1; Chen, Tianping 2
刊名	NEUROCOMPUTING
	2015-03-25
卷号	152 页码:222-230
关键词	High-order neural networks Multistability Nonsmooth activation function Complete stability
ISSN号	0925-2312
DOI	10.1016/j.neucom.2014.10.075
英文摘要	In this paper, we are concerned with a class of high-order neural networks (HONNs) with nonsmooth activation functions. A set of new sufficient conditions ensuring the coexistence of 3(n) equilibrium points and the local stability of 2(n) equilibrium points are proposed, which reveal that the high-order interactions between neurons also play an important role on the multistability of HONNs. Besides, every solution is shown to converge to a certain equilibrium point, that is, the systems are also completely stable. Furthermore, for the 2-neuron neural networks, we can get that the stable manifolds of unstable equilibrium points constitute the boundaries of attraction basins of stable equilibrium points, despite the nonlinearity of high-order items of HONNs. Several numerical examples are presented to illustrate the effectiveness of our criteria. (C) 2014 Elsevier B.V. All rights reserved.
WOS研究方向	Computer Science
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000349572600023
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/1573]
专题	上海财经大学
通讯作者	Wang, Lili
作者单位	1.Shanghai Univ Finance & Econ, Sch Math, Shanghai, Peoples R China; 2.Fudan Univ, Sch Math Sci, Sch Comp Sci, Key Lab Nonlinear Math Sci, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Wang, Lili,Chen, Tianping. Multistability and complete convergence analysis on high-order neural networks with a class of nonsmooth activation functions[J]. NEUROCOMPUTING,2015,152:222-230.
APA	Wang, Lili,&Chen, Tianping.(2015).Multistability and complete convergence analysis on high-order neural networks with a class of nonsmooth activation functions.NEUROCOMPUTING,152,222-230.
MLA	Wang, Lili,et al."Multistability and complete convergence analysis on high-order neural networks with a class of nonsmooth activation functions".NEUROCOMPUTING 152(2015):222-230.