Exponential Synchronization Analysis and Control for Discrete-Time Uncertain Delay Complex Networks with Stochastic Effects

The exponential synchronization for a class of discrete-time uncertain complex networks with stochastic effects and time delay is investigated by using the Lyapunov stability theory and discrete Halanay inequality. The uncertainty arises from the difference of the nodes’ reliability in the complex n...

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Bibliographic Details
Published inMathematical Problems in Engineering Vol. 2012; pp. 1 - 14
Main Authors Wang, Tianbo, Zhou, Wuneng, Zhao, Dejun, Zhao, Shouwei
Format Journal Article
LanguageEnglish
Published New York Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Control methods
Delay
Euclidean space
Inequalities
Liapunov functions
Lyapunov functions
Mathematical functions
Mathematical models
Network reliability
Networks
Random variables
Stochasticity
Synchronism
Synchronization
Time lag
Time synchronization
Uncertainty analysis
China
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Summary:The exponential synchronization for a class of discrete-time uncertain complex networks with stochastic effects and time delay is investigated by using the Lyapunov stability theory and discrete Halanay inequality. The uncertainty arises from the difference of the nodes’ reliability in the complex network. Through constructing an appropriate Lyapunov function and applying inequality technique, some synchronization criteria and two control methods are obtained to ensure the considered complex network being exponential synchronization. Finally, a numerical example is provided to show the effectiveness of our proposed methods.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1024-123X
1563-5147
DOI:10.1155/2012/261274