Asymptotical synchronization of coupled nonlinear partial differential systems with impulsive effects

Kai Ning Wu; Ya Nan Zhu; Bor Sen Chen; Yu Yao

doi:10.1002/asjc.1103

Asymptotical synchronization of coupled nonlinear partial differential systems with impulsive effects

Kai Ning Wu^*
, Ya Nan Zhu
, Bor Sen Chen
, Yu Yao

^*Corresponding author for this work

Harbin Institute of Technology Weihai
National Tsing Hua University
Harbin Institute of Technology

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

1 Scopus citations

Abstract

This paper considers the asymptotical synchronization of coupled nonlinear impulsive partial differential systems (PDSs) in complex networks. The cases of both complex networks with fixed topology and switching topology are studied. Based on the Lyapunov-Krasoviskii functional method, sufficient conditions are presented to guarantee the asymptotical synchronization of nonlinear impulsive PDSs, under the cases of fixed topology or switching topology. The effect of the spatial domain is exhibited in these sufficient conditions. Moreover, these sufficient conditions provide a method for selecting a suitable impulsive strategy for the coupled PDSs to achieve the asymptotical synchronization. Finally, numerical examples are given to illustrate the correctness.

Original language	English
Pages (from-to)	2363-2373
Number of pages	11
Journal	Asian Journal of Control
Volume	17
Issue number	6
DOIs	https://doi.org/10.1002/asjc.1103
State	Published - Nov 2015
Externally published	Yes

Keywords

Fixed topology
Impulsive
Partial differential systems
Switching topology
Synchronization

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10.1002/asjc.1103

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title = "Asymptotical synchronization of coupled nonlinear partial differential systems with impulsive effects",

abstract = "This paper considers the asymptotical synchronization of coupled nonlinear impulsive partial differential systems (PDSs) in complex networks. The cases of both complex networks with fixed topology and switching topology are studied. Based on the Lyapunov-Krasoviskii functional method, sufficient conditions are presented to guarantee the asymptotical synchronization of nonlinear impulsive PDSs, under the cases of fixed topology or switching topology. The effect of the spatial domain is exhibited in these sufficient conditions. Moreover, these sufficient conditions provide a method for selecting a suitable impulsive strategy for the coupled PDSs to achieve the asymptotical synchronization. Finally, numerical examples are given to illustrate the correctness.",

keywords = "Fixed topology, Impulsive, Partial differential systems, Switching topology, Synchronization",

author = "Wu, \{Kai Ning\} and Zhu, \{Ya Nan\} and Chen, \{Bor Sen\} and Yu Yao",

note = "Publisher Copyright: {\textcopyright}2015 Chinese Automatic Control Society and Wiley Publishing Asia Pty Ltd.",

year = "2015",

month = nov,

doi = "10.1002/asjc.1103",

language = "英语",

volume = "17",

pages = "2363--2373",

journal = "Asian Journal of Control",

issn = "1561-8625",

publisher = "Wiley-Blackwell",

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TY - JOUR

T1 - Asymptotical synchronization of coupled nonlinear partial differential systems with impulsive effects

AU - Wu, Kai Ning

AU - Zhu, Ya Nan

AU - Chen, Bor Sen

AU - Yao, Yu

PY - 2015/11

Y1 - 2015/11

N2 - This paper considers the asymptotical synchronization of coupled nonlinear impulsive partial differential systems (PDSs) in complex networks. The cases of both complex networks with fixed topology and switching topology are studied. Based on the Lyapunov-Krasoviskii functional method, sufficient conditions are presented to guarantee the asymptotical synchronization of nonlinear impulsive PDSs, under the cases of fixed topology or switching topology. The effect of the spatial domain is exhibited in these sufficient conditions. Moreover, these sufficient conditions provide a method for selecting a suitable impulsive strategy for the coupled PDSs to achieve the asymptotical synchronization. Finally, numerical examples are given to illustrate the correctness.

AB - This paper considers the asymptotical synchronization of coupled nonlinear impulsive partial differential systems (PDSs) in complex networks. The cases of both complex networks with fixed topology and switching topology are studied. Based on the Lyapunov-Krasoviskii functional method, sufficient conditions are presented to guarantee the asymptotical synchronization of nonlinear impulsive PDSs, under the cases of fixed topology or switching topology. The effect of the spatial domain is exhibited in these sufficient conditions. Moreover, these sufficient conditions provide a method for selecting a suitable impulsive strategy for the coupled PDSs to achieve the asymptotical synchronization. Finally, numerical examples are given to illustrate the correctness.

KW - Fixed topology

KW - Impulsive

KW - Partial differential systems

KW - Switching topology

KW - Synchronization

UR - https://www.scopus.com/pages/publications/84945558880

U2 - 10.1002/asjc.1103

DO - 10.1002/asjc.1103

M3 - 文章

AN - SCOPUS:84945558880

SN - 1561-8625

VL - 17

SP - 2363

EP - 2373

JO - Asian Journal of Control

JF - Asian Journal of Control

IS - 6

ER -

Asymptotical synchronization of coupled nonlinear partial differential systems with impulsive effects

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Keywords

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