Existence and Global Exponential Stability of Equilibrium for Impulsive Cellular Neural Network Models with Piecewise Alternately Advanced and Retarded Argument

المؤلف

Chiu, Kuo-Shou

المصدر

Abstract and Applied Analysis

العدد

المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-13، 13ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2013-12-31

دولة النشر

مصر

عدد الصفحات

13

التخصصات الرئيسية

الرياضيات

الملخص 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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-453662