Fractional complex network;
Global synchronization;
Delay;
Razumikhin theorem;
ORDER NEURAL-NETWORKS;
DYNAMICAL NETWORKS;
ASYMPTOTICAL STABILITY;
PROJECTIVE SYNCHRONIZATION;
PINNING SYNCHRONIZATION;
SYSTEMS;
D O I:
10.1016/j.neucom.2018.02.026
中图分类号:
TP18 [人工智能理论];
学科分类号:
081104 ;
0812 ;
0835 ;
1405 ;
摘要:
This paper deals with global synchronization of fractional complex networks with non-delayed and delayed couplings. Applying fractional Razumikhin theorem, a simple quadratic Lyapunov function is constructed and two linear matrix inequality (LMI) criteria on global synchronization are proposed. It is very convenient and efficient to check synchronization of the presented network models by using our proposed method. Finally, numerical simulations are given to show the efficiency of the obtained results. (c) 2018 Elsevier B.V. All rights reserved.
机构:
Chennai Inst Technol, Ctr Computat Modeling, Chennai 600069, IndiaChennai Inst Technol, Ctr Computat Modeling, Chennai 600069, India
Aadhithiyan, S.
Raja, R.
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机构:
Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi 630004, India
Lebanese Amer Univ, Dept Comp Sci & Math, POB 13-5053, Beirut, LebanonChennai Inst Technol, Ctr Computat Modeling, Chennai 600069, India
Raja, R.
Alzabut, Jehad
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机构:
Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia
OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, TurkiyeChennai Inst Technol, Ctr Computat Modeling, Chennai 600069, India
Alzabut, Jehad
Rajchakit, G.
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机构:
Maejo Univ, Dept Math, Chiang Mai 50290, ThailandChennai Inst Technol, Ctr Computat Modeling, Chennai 600069, India
Rajchakit, G.
Agarwal, Ravi P.
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机构:
Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USAChennai Inst Technol, Ctr Computat Modeling, Chennai 600069, India