Exponential Stability of Cohen-Grossberg Neural Networks with Impulse Time Window
Joint Authors
Jiang, Haijun
Liu, Mei
Hu, Cheng
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper concerns the problem of exponential stability for a class of Cohen-Grossberg neural networks with impulse time window and time-varying delays.
In our letter, the impulsive effects we considered can stochastically occur at a definitive time window and the impulsive controllers we considered can be nonlinear and even rely on the states of all the neurons.
Hence, the impulses here can be more applicable and more general.
By utilizing Lyapunov functional theory, inequality technique, and the analysis method, we obtain some novel and effective exponential stability criteria for the Cohen-Grossberg neural networks.
These results generalize a few previous known results and numerical simulations are given to show the effectiveness of the derived results.
American Psychological Association (APA)
Liu, Mei& Jiang, Haijun& Hu, Cheng. 2016. Exponential Stability of Cohen-Grossberg Neural Networks with Impulse Time Window. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103369
Modern Language Association (MLA)
Liu, Mei…[et al.]. Exponential Stability of Cohen-Grossberg Neural Networks with Impulse Time Window. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1103369
American Medical Association (AMA)
Liu, Mei& Jiang, Haijun& Hu, Cheng. Exponential Stability of Cohen-Grossberg Neural Networks with Impulse Time Window. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103369
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103369