Finite-Time Synchronization for a Class of Fully Complex-Valued Networks With Coupling Delay | Zendy

Chuan Zhang | Zendy; Xingyuan Wang | Zendy; Shibing Wang | Zendy; Wenjie Zhou | Zendy; Zhiqiu Xia | Zendy

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Finite-Time Synchronization for a Class of Fully Complex-Valued Networks With Coupling Delay

Author(s) -

Chuan Zhang,

Xingyuan Wang,

Shibing Wang,

Wenjie Zhou,

Zhiqiu Xia

Publication year - 2018

Publication title -

ieee access

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.587

H-Index - 127

ISSN - 2169-3536

DOI - 10.1109/access.2018.2818192

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

In this paper, the problem of synchronization for a class of fully complex-valued networks with coupling delay is investigated by the linear feedback control in a finite time. The state variables, system function, inner coupling matrix, and outer coupling matrix in this model are set as complex values. By decomposing the complex-valued network into real and imaginary parts, an equivalent real-valued system is established. Based on the finite-time stability theory and Lyapunov functional method, linear feedback controllers are constructed to guarantee the synchronization for the complex-valued networks with or without coupling delay in a desired finite time. Then, some sufficient conditions for assurance of finite-time synchronization are given by strict proof. Finally, simulation examples are provided to verify our results.

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