Open AccessAdaptive Pinning Synchronization of Complex Networks with Stochastic Perturbations
Author(s) -
Xinsong Yang,
Jinde Cao
Publication year - 2010
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2010/416182
Subject(s) - synchronization (alternating current) , complex network , control theory (sociology) , stability (learning theory) , computer science , lyapunov stability , stability theory , mathematics , topology (electrical circuits) , control (management) , physics , nonlinear system , artificial intelligence , world wide web , quantum mechanics , combinatorics , machine learning
The adaptive pinningsynchronization is investigated for complex networks withnondelayed and delayed couplings and vector-form stochasticperturbations. Two kinds of adaptive pinning controllers aredesigned. Based on an Lyapunov-Krasovskii functional and thestochastic stability analysis theory, several sufficientconditions are developed to guarantee the synchronization of theproposed complex networks even if partial states of the nodes arecoupled. Furthermore, three examples with their numericalsimulations are employed to show the effectiveness of thetheoretical results
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom