Stability of stochastic differential switching systems with time-delay and impulsive effects
type: Item
instance of: scholarly article
title: Stability of stochastic differential switching systems with time-delay and impulsive effects
zbMATH Open document ID: 1427.93258
DOI: 10.1155/2018/3841675
author: Zhuang Fang
author: Xiaozhong Huang
author: Xuegang Tan
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper studies the stability of hybrid impulsive and switching stochastic neural networks. First, a new type of switching signal is constructed. The stochastic differential switching systems are steerable under the work of the switching signals. Then, using switching Lyapunov function approach, Itô formula, and generalized Halanay's inequality, some global asymptotical and global exponential stability criteria are derived. These criteria improve the existing results on hybrid systems without noises. An example is given to demonstrate the effectiveness of the results.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 7018877
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3841675
OpenAlex ID: W2801929168
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description: scientific article; zbMATH DE number 7018877