Finite-Time Synchronization of Complex-Valued Delayed Neural Networks with Discontinuous Activations

Enli Wu; Xinsong Yang; Chen Xu; Fuad E. Alsaadi; Tasawar Hayat

doi:10.1002/asjc.1725

Finite-Time Synchronization of Complex-Valued Delayed Neural Networks with Discontinuous Activations

Enli Wu
, Xinsong Yang
, Chen Xu
, Fuad E. Alsaadi
, Tasawar Hayat

Sichuan University of Science & Engineering
Chongqing Normal University
Shenzhen University
Faculty of Engineering, King Abdulaziz University
Faculty of Sciences, King Abdulaziz University
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

In this paper, finite-time synchronization for a class of complex-valued neural networks with time delays and discontinuous activations is concerned under the framework of Filippov solutions. Both state feedback and adaptive controllers are designed to overcome the difficulties in dealing with the time delay and the uncertainties of Filippov solutions. Based on the concept of Filippov solutions, differential inclusion and structuring suitable Lyapunov-Krasovskii functionals, some sufficient conditions are obtained to guarantee that a controlled response system is synchronized with a driving system in a finite time. Finally, numerical simulations are given to show the effectiveness of the theoretical results.

Original language	English
Pages (from-to)	2237-2247
Number of pages	11
Journal	Asian Journal of Control
Volume	20
Issue number	6
DOIs	https://doi.org/10.1002/asjc.1725
State	Published - Nov 2018
Externally published	Yes

Keywords

Control
complex value
delay
discontinuous
finite-time synchronization

Access to Document

10.1002/asjc.1725

Cite this

@article{0ec11710af2e4ae1a7057e8b0a510111,

title = "Finite-Time Synchronization of Complex-Valued Delayed Neural Networks with Discontinuous Activations",

abstract = "In this paper, finite-time synchronization for a class of complex-valued neural networks with time delays and discontinuous activations is concerned under the framework of Filippov solutions. Both state feedback and adaptive controllers are designed to overcome the difficulties in dealing with the time delay and the uncertainties of Filippov solutions. Based on the concept of Filippov solutions, differential inclusion and structuring suitable Lyapunov-Krasovskii functionals, some sufficient conditions are obtained to guarantee that a controlled response system is synchronized with a driving system in a finite time. Finally, numerical simulations are given to show the effectiveness of the theoretical results.",

keywords = "Control, complex value, delay, discontinuous, finite-time synchronization",

author = "Enli Wu and Xinsong Yang and Chen Xu and Alsaadi, \{Fuad E.\} and Tasawar Hayat",

note = "Publisher Copyright: {\textcopyright} 2018 Chinese Automatic Control Society and John Wiley \& Sons Australia, Ltd",

year = "2018",

month = nov,

doi = "10.1002/asjc.1725",

language = "English",

volume = "20",

pages = "2237--2247",

journal = "Asian Journal of Control",

issn = "1561-8625",

publisher = "Wiley-Blackwell",

number = "6",

}

TY - JOUR

T1 - Finite-Time Synchronization of Complex-Valued Delayed Neural Networks with Discontinuous Activations

AU - Wu, Enli

AU - Yang, Xinsong

AU - Xu, Chen

AU - Alsaadi, Fuad E.

AU - Hayat, Tasawar

PY - 2018/11

Y1 - 2018/11

N2 - In this paper, finite-time synchronization for a class of complex-valued neural networks with time delays and discontinuous activations is concerned under the framework of Filippov solutions. Both state feedback and adaptive controllers are designed to overcome the difficulties in dealing with the time delay and the uncertainties of Filippov solutions. Based on the concept of Filippov solutions, differential inclusion and structuring suitable Lyapunov-Krasovskii functionals, some sufficient conditions are obtained to guarantee that a controlled response system is synchronized with a driving system in a finite time. Finally, numerical simulations are given to show the effectiveness of the theoretical results.

AB - In this paper, finite-time synchronization for a class of complex-valued neural networks with time delays and discontinuous activations is concerned under the framework of Filippov solutions. Both state feedback and adaptive controllers are designed to overcome the difficulties in dealing with the time delay and the uncertainties of Filippov solutions. Based on the concept of Filippov solutions, differential inclusion and structuring suitable Lyapunov-Krasovskii functionals, some sufficient conditions are obtained to guarantee that a controlled response system is synchronized with a driving system in a finite time. Finally, numerical simulations are given to show the effectiveness of the theoretical results.

KW - Control

KW - complex value

KW - delay

KW - discontinuous

KW - finite-time synchronization

UR - https://www.scopus.com/pages/publications/85040044427

U2 - 10.1002/asjc.1725

DO - 10.1002/asjc.1725

M3 - Article

AN - SCOPUS:85040044427

SN - 1561-8625

VL - 20

SP - 2237

EP - 2247

JO - Asian Journal of Control

JF - Asian Journal of Control

IS - 6

ER -

Finite-Time Synchronization of Complex-Valued Delayed Neural Networks with Discontinuous Activations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this