Existence, Uniqueness, and Stability Analysis of Impulsive Neural Networks with Mixed Time Delays
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-15
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study a class of impulsive neural networks with mixed time delays and generalized activation functions.
The mixed delays include time-varying transmission delay, bounded time-varying distributed delay, and discrete constant delay in the leakage term.
By using the contraction mapping theorem, we obtain a sufficient condition to guarantee the global existence and uniqueness of the solution for the addressed neural networks.
In addition, a delay-independent sufficient condition for existence of an equilibrium point and some delay-dependent sufficient conditions for stability are derived, respectively, by using topological degree theory and Lyapunov-Krasovskii functional method.
The presented results require neither the boundedness, monotonicity, and differentiability of the activation functions nor the differentiability (even differential boundedness) of time-varying delays.
Moreover, the proposed stability criteria are given in terms of linear matrix inequalities (LMI), which can be conveniently checked by the MATLAB toolbox.
Finally, an example is given to show the effectiveness and less conservativeness of the obtained results.
American Psychological Association (APA)
Xi, Qiang& Si, Jianguo. 2014. Existence, Uniqueness, and Stability Analysis of Impulsive Neural Networks with Mixed Time Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013722
Modern Language Association (MLA)
Xi, Qiang& Si, Jianguo. Existence, Uniqueness, and Stability Analysis of Impulsive Neural Networks with Mixed Time Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1013722
American Medical Association (AMA)
Xi, Qiang& Si, Jianguo. Existence, Uniqueness, and Stability Analysis of Impulsive Neural Networks with Mixed Time Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013722
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013722