Adaptive synchronization of stochastic complex dynamical networks and its application

Tengda Wei; Qi  Yao; Ping Lin; Linshan Wang

doi:10.1007/s00521-018-3501-6

Adaptive synchronization of stochastic complex dynamical networks and its application

Tengda Wei, Qi Yao, Ping Lin, Linshan Wang

Mathematics

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5 Citations (Scopus)

184 Downloads (Pure)

Abstract

This paper investigates exponential synchronization for stochastic complex dynamical networks with reaction–diffusion terms and S-type distributed delays. Based on a generalized Halanay inequality and Poincaré inequality, adaptive control strategies for exponential synchronization are established by constructing a simple Lyapunov–Krasovskii functional candidate and utilizing the truncation method. Some numerical examples are provided to demonstrate the effectiveness of the obtained results. Finally, the proposed adaptive synchronization theoretical results are successfully applied to image encryption.

Original language	English
Pages (from-to)	6879-6892
Number of pages	14
Journal	Neural Computing and Applications
Volume	31
Early online date	9 May 2018
DOIs	https://doi.org/10.1007/s00521-018-3501-6
Publication status	Published - Oct 2019

Keywords

Adaptive synchronization
Image encryption
Reaction–diffusion
S-type distributed delay
Stochastic complex dynamical network

ASJC Scopus subject areas

Software
Artificial Intelligence

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10.1007/s00521-018-3501-6Licence: CC BY

final published versionFinal published version, 2.37 MBLicence: CC BY

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title = "Adaptive synchronization of stochastic complex dynamical networks and its application",

abstract = "This paper investigates exponential synchronization for stochastic complex dynamical networks with reaction–diffusion terms and S-type distributed delays. Based on a generalized Halanay inequality and Poincar{\'e} inequality, adaptive control strategies for exponential synchronization are established by constructing a simple Lyapunov–Krasovskii functional candidate and utilizing the truncation method. Some numerical examples are provided to demonstrate the effectiveness of the obtained results. Finally, the proposed adaptive synchronization theoretical results are successfully applied to image encryption.",

keywords = "Adaptive synchronization, Image encryption, Reaction–diffusion, S-type distributed delay, Stochastic complex dynamical network",

author = "Tengda Wei and Qi Yao and Ping Lin and Linshan Wang",

note = "The authors would like to thank the editor, associate editor, and reviewers for their constructive comments and fruitful suggestions, which greatly improved this manuscript. The work was partly supported by National Natural Science Foundation of China (No. 11771014), Fundamental Research Funds for Central Universities (No. 06500073), and China Scholarship Council (File No. 201706330011).",

year = "2019",

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doi = "10.1007/s00521-018-3501-6",

language = "English",

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journal = "Neural Computing and Applications",

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T1 - Adaptive synchronization of stochastic complex dynamical networks and its application

AU - Wei, Tengda

AU - Yao, Qi

AU - Lin, Ping

AU - Wang, Linshan

N1 - The authors would like to thank the editor, associate editor, and reviewers for their constructive comments and fruitful suggestions, which greatly improved this manuscript. The work was partly supported by National Natural Science Foundation of China (No. 11771014), Fundamental Research Funds for Central Universities (No. 06500073), and China Scholarship Council (File No. 201706330011).

PY - 2019/10

Y1 - 2019/10

N2 - This paper investigates exponential synchronization for stochastic complex dynamical networks with reaction–diffusion terms and S-type distributed delays. Based on a generalized Halanay inequality and Poincaré inequality, adaptive control strategies for exponential synchronization are established by constructing a simple Lyapunov–Krasovskii functional candidate and utilizing the truncation method. Some numerical examples are provided to demonstrate the effectiveness of the obtained results. Finally, the proposed adaptive synchronization theoretical results are successfully applied to image encryption.

AB - This paper investigates exponential synchronization for stochastic complex dynamical networks with reaction–diffusion terms and S-type distributed delays. Based on a generalized Halanay inequality and Poincaré inequality, adaptive control strategies for exponential synchronization are established by constructing a simple Lyapunov–Krasovskii functional candidate and utilizing the truncation method. Some numerical examples are provided to demonstrate the effectiveness of the obtained results. Finally, the proposed adaptive synchronization theoretical results are successfully applied to image encryption.

KW - Adaptive synchronization

KW - Image encryption

KW - Reaction–diffusion

KW - S-type distributed delay

KW - Stochastic complex dynamical network

U2 - 10.1007/s00521-018-3501-6

DO - 10.1007/s00521-018-3501-6

M3 - Article

SN - 0941-0643

VL - 31

SP - 6879

EP - 6892

JO - Neural Computing and Applications

JF - Neural Computing and Applications

ER -

Adaptive synchronization of stochastic complex dynamical networks and its application

Abstract

Keywords

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