Synchronization Analysis and Design of Complex Dynamical Networks

碩士 === 中原大學 === 電機工程研究所 === 97 === This research proposes a brand new T-S fuzzy model-based approach to achieve syn- chronization of complex coupled dynamical systems. The T-S fuzzy models are given to exactly represent the complex coupled dynamical systems. Then the model-based fuzzy synchronizatio...

Full description

Bibliographic Details
Main Authors: Kuo-En Huang, 黃國恩
Other Authors: Kuang-Yow Lian
Format: Others
Language:en_US
Published: 2009
Online Access:http://ndltd.ncl.edu.tw/handle/18626832231602571066
Description
Summary:碩士 === 中原大學 === 電機工程研究所 === 97 === This research proposes a brand new T-S fuzzy model-based approach to achieve syn- chronization of complex coupled dynamical systems. The T-S fuzzy models are given to exactly represent the complex coupled dynamical systems. Then the model-based fuzzy synchronization design is carried out for each subsystem utilizing the concept of parallel distributed compensation (PDC). We analyze the stability of the overall fuzzy synchro- nization system by applying Lyapunov stability theory and derive stability conditions by solving linear matrix inequalities (LMI) problem. The methodology has been applied to both continuous-time and discrete-time complex networks, which consist of regular, small-world, random, or scale-free networks. Three well-known examples, Chua's cir- cuit and the driven pendulum for continuous-time and H enon map for discrete-time, are considered as the coupled dynamical systems for the demonstration. Several numerical simulations for the synchronization of these coupled dynamical systems illustrate the e ectiveness of the proposed scheme. Finally, for complex networks with large nodes, several interesting characteristics related to syntonization are revealed.