Fixed Points and Exponential Stability for Impulsive Time-Delays BAM Neural Networks via LMI Approach and Contraction Mapping Principle

The fixed point technique has been employed in the stability analysis of time-delays bidirectional associative memory (BAM) neural networks with impulse. By formulating a contraction mapping in a product space, a new LMI-based exponential stability criterion was derived. Lately, fixed point methods...

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Published inMathematical problems in engineering Vol. 2016; no. 2016; pp. 1 - 8
Main Authors Li, Xinggui, Zhong, Shouming, Pu, Zhilin, Rao, Ruofeng
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2016
Hindawi Limited
Subjects
Associative memory
Computer simulation
Criteria
Equilibrium
Fixed points (mathematics)
Mapping
Mathematical models
Matlab
Methods
Neural networks
Recurrent neural networks
Stability
Stability analysis
Stability criteria
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Summary:The fixed point technique has been employed in the stability analysis of time-delays bidirectional associative memory (BAM) neural networks with impulse. By formulating a contraction mapping in a product space, a new LMI-based exponential stability criterion was derived. Lately, fixed point methods have educed various good results inspiring this work, but those criteria cannot be programmed by a computer. In this paper, LMI conditions of the obtained result can be applicable to computer Matlab LMI toolbox which meets the need of the large-scale calculation in real engineering. Moreover, a numerical example and a comparable table are presented to illustrate the effectiveness of the proposed methods.
Bibliography:ObjectType-Article-1
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ISSN:1024-123X
1563-5147
DOI:10.1155/2016/3154683