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	Stability analysis of delayed cellular neural networks with and without noise perturbation
	Zhang Xue-juan ; Wang Guan-xiang ; Liu Hua
	2008
关键词	delayed cellular neural networks global exponential stability external internal noise O175 O211 92B20 92C20 37H15 DYNAMICS
英文摘要	The stability of a class of delayed cellular neural networks (DCNN) with or without noise perturbation is studied. After presenting a simple and easily checkable condition for the global exponential stability of a deterministic system, we further investigate the case with noise perturbation. When DCNN is perturbed by external noise, the system is globally stable. An important fact is that, when the system is perturbed by internal noise, it is globally exponentially stable only if the total noise strength is within a certain bound. This is significant since the stochastic resonance phenomena have been found to exist in many nonlinear systems.; Mathematics, Applied; Mechanics; SCI(E); EI; 0; ARTICLE; 11; 1427-1438; 29
语种	英语
出处	SCI ; EI
出版者	applied mathematics and mechanics english edition
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/248432]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhang Xue-juan,Wang Guan-xiang,Liu Hua. Stability analysis of delayed cellular neural networks with and without noise perturbation. 2008-01-01.

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