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LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory
Joint Authors
Zhong, Shouming
Wang, Xiong Rui
Rao, Ruofeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-19
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Linear matrices inequalities (LMIs) method and the contraction mapping theorem were employed to prove the existence of globally exponentially stable trivial solution for impulsive Cohen-Grossberg neural networks (CGNNs).
It is worth mentioning that it is the first time to use the contraction mapping theorem to prove the stability for CGNNs while only the Leray-Schauder fixed point theorem was applied in previous related literature.
An example is given to illustrate the effectiveness of the proposed methods due to the large allowable variation range of impulse.
American Psychological Association (APA)
Wang, Xiong Rui& Rao, Ruofeng& Zhong, Shouming. 2015. LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073403
Modern Language Association (MLA)
Wang, Xiong Rui…[et al.]. LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073403
American Medical Association (AMA)
Wang, Xiong Rui& Rao, Ruofeng& Zhong, Shouming. LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073403
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073403