Premium
Robust exponential synchronization for neutral complex networks with discrete and distributed time‐varying delays: A descriptor model transformation method
Author(s) -
He Ping,
Zhang Qingling,
Jing ChunGuo,
Chen ChangZhong,
Fan Tao
Publication year - 2013
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2094
Subject(s) - synchronization (alternating current) , model transformation , transformation (genetics) , control theory (sociology) , linear matrix inequality , exponential stability , discrete time and continuous time , class (philosophy) , mathematics , stability (learning theory) , transformation matrix , computer science , exponential function , mathematical optimization , topology (electrical circuits) , artificial intelligence , nonlinear system , mathematical analysis , control (management) , discrete mathematics , consistency (knowledge bases) , combinatorics , chemistry , biochemistry , kinematics , classical mechanics , quantum mechanics , machine learning , physics , gene , statistics
SUMMARY In this paper, the robust exponential synchronization problem for a class of neutral complex networks with discrete and distributed time‐varying delays is investigated. Some delay‐dependent synchronization criteria are derived by using the descriptor model transformation method; the stability condition of error dynamical networks based on the Lyapunov–Krasovskii functional is obtained via linear matrix inequality (LMI) formulation. Finally, numerical examples are presented to show the effectiveness of the proposed theoretical results. Copyright © 2013 John Wiley & Sons, Ltd.