期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 338, 期 -, 页码 552-566出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2018.06.055
关键词
Fractional calculus; Complex-variable; Complex projective synchronization; Drive-response networks; Fully decentralized adaptive; Hermitian form Lyapunov functionals
资金
- Scientific Research Foundation of the Education Department of Sichuan Province [16ZB0163, 17ZA0364, 16ZA0166]
- 'Chunhui Plan' Cooperative Research for Ministry of Education [Z2016133, Z2016134]
- Key Scientific Research Fund Project of Xihua University [Z17124]
- Open Research Fund of Key Laboratory of Automobile Engineering of Sichuan Province [szjj2016-017]
- Open Research Subject of Artificial Intelligence Key Laboratory of Sichuan Province [2017RYJ03]
- National Natural Science Foundation of China [11402214]
- Open Research Fund of Key Laboratory of Automobile Measurement and Control & Safety of Sichuan Province [szjj2017-074]
- Open Research Fund of Key Laboratory of Numerical Simulation of Sichuan Province [2017KF004]
This paper presents a fully decentralized adaptive scheme to solve the open problem of complex projective synchronization (CPS) in drive-response fractional complex-variable networks (DRFCVNs). Based on local mismatch with the desired state and between coupled nodes, several novel fully decentralized fractional adaptive (FDFA) strategies are proposed to adjust both the feedback control strengths and the coupling weights. By employing Hermitian form Lyapunov functionals and other fractional skills, some sufficient criteria are provided for CPS. Numerical simulation examples are finally employed to illustrate the efficiency of the new synchronization strategies. (C) 2018 Elsevier Inc. All rights reserved.
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