New Synchronization Criterion of Incommensurate Fractional-Order Chaotic Systems

被引：7

作者：

Chen, Liping ^{[1
]}

Xue, Min ^{[1
]}

Lopes, Antonio M. ^{[2
]}

Wu, Ranchao ^{[3
]}

Zhang, Xiaohua ^{[4
]}

Chen, Yangquan ^{[5
]}

机构：

[1] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Peoples R China

[2] Univ Porto, Fac Engn, LAETA INEGI, P-4200465 Porto, Portugal

[3] Anhui Univ, Sch Math, Hefei 230601, Peoples R China

[4] Zhongkai Univ Agr & Engn, Coll Automat, Guangzhou 510225, Guandong, Peoples R China

[5] Univ Calif Merced, Mechatron Embedded Syst & Automat Lab, Merced, CA 95343 USA

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2024年 / 71卷 / 01期

关键词：

Fractional-order systems; chaos; incommensurate system; synchronization; PROJECTIVE SYNCHRONIZATION;

D O I：

10.1109/TCSII.2023.3297174

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The synchronization of fractional-order (FO) chaotic systems has received much attention in recent years. However, most research was focused on FO commensurate systems. In this brief, the synchronization of incommensurate fractional-order (IFO) chaotic systems is addressed. By employing the linear feedback control method, a new sufficient condition is proposed to ensure the synchronization of IFO chaotic systems. Compared with other approaches reported in the literature, the new method depends just on the system's parameters, is easier to implement in engineering practice, applies to systems with FO in the interval (0, 2), and is still valid for synchronizing IFO chaotic systems of irrational order. The effectiveness of the theoretical findings is illustrated by numerical simulations using two IFO chaotic systems.

引用

页码：455 / 459

页数：5

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