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Stability of Stochastic Differential Switching Systems with Time-Delay and Impulsive Effects
Joint Authors
Fang, Zhuang
Huang, Xiaozhong
Tan, Xuegang
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Fang, Zhuang& Huang, Xiaozhong& Tan, Xuegang. 2018. Stability of Stochastic Differential Switching Systems with Time-Delay and Impulsive Effects. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207168
Modern Language Association (MLA)
Fang, Zhuang…[et al.]. Stability of Stochastic Differential Switching Systems with Time-Delay and Impulsive Effects. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1207168
American Medical Association (AMA)
Fang, Zhuang& Huang, Xiaozhong& Tan, Xuegang. Stability of Stochastic Differential Switching Systems with Time-Delay and Impulsive Effects. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207168
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207168