IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS

doi:10.1007/s10473-022-0219-4

数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (2): 737-754.doi: 10.1007/s10473-022-0219-4

IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS

李瑞鸿¹, 武怀勤¹, 曹进德²

1. School of Science, Yanshan University, Qinhuangdao 066001, China;
2. School of Mathematics, Southeast University, Nanjing 210096, China

收稿日期:2020-11-30 修回日期:2020-12-29 出版日期:2022-04-25 发布日期:2022-04-22
通讯作者: Huaiqin WU,E-mail:huaiqinwu@ysu.edu.cn E-mail:huaiqinwu@ysu.edu.cn
作者简介:Ruihong LI,E-mail:ruihongli2020@163.com;Jinde CAO,E-mail:jdcao@seu.edu.cn
基金资助:
The first author are supported by Key Project of Natural Science Foundation of China (61833005) and the Natural Science Foundation of Hebei Province of China (A2018203288).

IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS

Ruihong LI¹, Huaiqin WU¹, Jinde CAO²

1. School of Science, Yanshan University, Qinhuangdao 066001, China;
2. School of Mathematics, Southeast University, Nanjing 210096, China

Received:2020-11-30 Revised:2020-12-29 Online:2022-04-25 Published:2022-04-22
Supported by:
The first author are supported by Key Project of Natural Science Foundation of China (61833005) and the Natural Science Foundation of Hebei Province of China (A2018203288).

摘要/Abstract

摘要： This article aims to address the global exponential synchronization problem for fractional-order complex dynamical networks (FCDNs) with derivative couplings and impulse effects via designing an appropriate feedback control based on discrete time state observations. In contrast to the existing works on integer-order derivative couplings, fractional derivative couplings are introduced into FCDNs. First, a useful lemma with respect to the relationship between the discrete time observations term and a continuous term is developed. Second, by utilizing an inequality technique and auxiliary functions, the rigorous global exponential synchronization analysis is given and synchronization criterions are achieved in terms of linear matrix inequalities (LMIs). Finally, two examples are provided to illustrate the correctness of the obtained results.

关键词: Fractional-order complex dynamical networks, fractional derivative couplings, impulses, discrete time state observations

Abstract: This article aims to address the global exponential synchronization problem for fractional-order complex dynamical networks (FCDNs) with derivative couplings and impulse effects via designing an appropriate feedback control based on discrete time state observations. In contrast to the existing works on integer-order derivative couplings, fractional derivative couplings are introduced into FCDNs. First, a useful lemma with respect to the relationship between the discrete time observations term and a continuous term is developed. Second, by utilizing an inequality technique and auxiliary functions, the rigorous global exponential synchronization analysis is given and synchronization criterions are achieved in terms of linear matrix inequalities (LMIs). Finally, two examples are provided to illustrate the correctness of the obtained results.

Key words: Fractional-order complex dynamical networks, fractional derivative couplings, impulses, discrete time state observations

中图分类号:

93B52

李瑞鸿, 武怀勤, 曹进德. IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS[J]. 数学物理学报(英文版), 2022, 42(2): 737-754.

Ruihong LI, Huaiqin WU, Jinde CAO. IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS[J]. Acta mathematica scientia,Series B, 2022, 42(2): 737-754.

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IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS

IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS

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