中国科学院重庆绿色智能技术研究院机构知识库

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	Improved delay-probability-dependent results for stochastic neural networks with randomly occurring uncertainties and multiple delays
	Luo, Jinnan1; Tian, Wenhong1,2; Zhong, Shouming3; Shi, Kaibo4; Gu, Xian-Ming5; Wang, Wenqin6
	2018
摘要	This study seeks to address the delay-probability-dependent stability problem for a new class of stochastic neural networks with randomly occurring uncertainties, neutral type delay, distributed delay and probability-distribution delay. The system not only includes the randomly occurring uncertainties of parameters (ROUPs) but also contains stochastic disturbances, which is not yet investigated in existing papers. First, several stochastic variables which obey Bernoulli distribution are introduced to describe the ROUPs, based on which a new model is built. Second, through fully considering the information on kinds of delays and utilising general delay-partitioning method, an improved Lyapunov-Krasovskii function (LKF) is constructed. Combining Ito's differential formula, general bounding, free-weighting matrix and stochastic methods, a new delay-probability-dependent robustly mean square stable criterion is formulated in terms of linear matrix inequality. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed results.
关键词	Probability distribution stochastic neural networks randomly occurring uncertainties convex combination
DOI	10.1080/00207721.2018.1483044
发表期刊	INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
ISSN	0020-7721
卷号	49期号:9页码:2039-2059
WOS记录号	WOS:000442628300016
语种	英语