Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses
Joint Authors
Cao, Jinde
Ye, Renyu
Zhang, Hai
Alsaedi, Ahmed
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-13
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper investigates the existence and globally asymptotic stability of equilibrium solution for Riemann-Liouville fractional-order hybrid BAM neural networks with distributed delays and impulses.
The factors of such network systems including the distributed delays, impulsive effects, and two different fractional-order derivatives between the U-layer and V-layer are taken into account synchronously.
Based on the contraction mapping principle, the sufficient conditions are derived to ensure the existence and uniqueness of the equilibrium solution for such network systems.
By constructing a novel Lyapunov functional composed of fractional integral and definite integral terms, the globally asymptotic stability criteria of the equilibrium solution are obtained, which are dependent on the order of fractional derivative and network parameters.
The advantage of our constructed method is that one may directly calculate integer-order derivative of the Lyapunov functional.
A numerical example is also presented to show the validity and feasibility of the theoretical results.
American Psychological Association (APA)
Zhang, Hai& Ye, Renyu& Cao, Jinde& Alsaedi, Ahmed. 2017. Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses. Complexity،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1143330
Modern Language Association (MLA)
Zhang, Hai…[et al.]. Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses. Complexity No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1143330
American Medical Association (AMA)
Zhang, Hai& Ye, Renyu& Cao, Jinde& Alsaedi, Ahmed. Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses. Complexity. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1143330
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143330