Existence and Global Exponential Stability of Equilibrium for Impulsive Cellular Neural Network Models with Piecewise Alternately Advanced and Retarded Argument
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-31
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We introduce impulsive cellular neural network models with piecewise alternately advanced and retarded argument (in short IDEPCA).
The model with the advanced argument is system with strong anticipation.
Some sufficient conditions are established for the existence and global exponential stability of a unique equilibrium.
The approaches are based on employing Banach’s fixed point theorem and a new IDEPCA integral inequality of Gronwall type.
The criteria given are easily verifiable, possess many adjustable parameters, and depend on impulses and piecewise constant argument deviations, which provides exibility for the design and analysis of cellular neural network models.
Several numerical examples and simulations are also given to show the feasibility and effectiveness of our results.
American Psychological Association (APA)
Chiu, Kuo-Shou. 2013. Existence and Global Exponential Stability of Equilibrium for Impulsive Cellular Neural Network Models with Piecewise Alternately Advanced and Retarded Argument. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-453662
Modern Language Association (MLA)
Chiu, Kuo-Shou. Existence and Global Exponential Stability of Equilibrium for Impulsive Cellular Neural Network Models with Piecewise Alternately Advanced and Retarded Argument. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-453662
American Medical Association (AMA)
Chiu, Kuo-Shou. Existence and Global Exponential Stability of Equilibrium for Impulsive Cellular Neural Network Models with Piecewise Alternately Advanced and Retarded Argument. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-453662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453662