Controllability of heterogeneous interdependent group systems under undirected and directed topology

doi:10.1088/1674-1056/27/10/108901

中国物理B ›› 2018, Vol. 27 ›› Issue (10): 108901-108901.doi: 10.1088/1674-1056/27/10/108901

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Controllability of heterogeneous interdependent group systems under undirected and directed topology

Hui-Qin Pei(裴惠琴), Shi-Ming Chen(陈世明)

School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China

收稿日期:2018-05-22 修回日期:2018-07-06 出版日期:2018-10-05 发布日期:2018-10-05
通讯作者: Hui-Qin Pei E-mail:peihuiqinnx@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61603137 and 11662002), the Innovation Team Project of Jiangxi Provincial Innovation Drive "5511" Advantaged Science and Technology (Grant No. 20165BCB19011), the Natural Science Foundation of Jiangxi Province, China (Grant Nos. 20171BAB212016 and 20171BAB202029), the Key Research and Development Project of the Technology Department of Jiangxi Province, China (Grant No. 20161BBE53008), and the Doctoral Scientific Research Foundation of East China Jiaotong University (Grant No. 2003418002).

Controllability of heterogeneous interdependent group systems under undirected and directed topology

Hui-Qin Pei(裴惠琴), Shi-Ming Chen(陈世明)

School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China

Received:2018-05-22 Revised:2018-07-06 Online:2018-10-05 Published:2018-10-05
Contact: Hui-Qin Pei E-mail:peihuiqinnx@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61603137 and 11662002), the Innovation Team Project of Jiangxi Provincial Innovation Drive "5511" Advantaged Science and Technology (Grant No. 20165BCB19011), the Natural Science Foundation of Jiangxi Province, China (Grant Nos. 20171BAB212016 and 20171BAB202029), the Key Research and Development Project of the Technology Department of Jiangxi Province, China (Grant No. 20161BBE53008), and the Doctoral Scientific Research Foundation of East China Jiaotong University (Grant No. 2003418002).

摘要/Abstract

摘要：

The controllability problem of heterogeneous interdependent group systems with undirected and directed topology is investigated in this paper. First, the interdependent model of the heterogeneous system is set up according to the difference of individual characteristics. An extended distributed protocol with the external sliding-mode control is designed, under which it is shown that a heterogeneous interdependent group system is controllable when the corresponding communication topology is controllable. Then, using the network eigenvalue method, the driving individuals are determined for a heterogeneous system with undirected topology. Under directed topology, the maximum match method is utilized to confirm the driving individuals. Some sufficient and necessary conditions are presented to assure that the heterogeneous interdependent group system is structurally controllable. Via theoretical analysis, the controllability of heterogeneous interdependent systems is related to the interdependent manner and the structure of the heterogeneous system. Numerical simulations are provided to demonstrate the effectiveness of the theoretical results.

关键词: controllability, heterogeneous group systems, interdependent model, sliding-mode control

Abstract:

Key words: controllability, heterogeneous group systems, interdependent model, sliding-mode control

中图分类号: (Structures and organization in complex systems)

89.75.Fb

89.75.Hc (Networks and genealogical trees) 89.70.Hj (Communication complexity) 89.75.Da (Systems obeying scaling laws)

裴惠琴, 陈世明. Controllability of heterogeneous interdependent group systems under undirected and directed topology[J]. 中国物理B, 2018, 27(10): 108901-108901.

Hui-Qin Pei(裴惠琴), Shi-Ming Chen(陈世明). Controllability of heterogeneous interdependent group systems under undirected and directed topology[J]. Chin. Phys. B, 2018, 27(10): 108901-108901.

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Controllability of heterogeneous interdependent group systems under undirected and directed topology

Controllability of heterogeneous interdependent group systems under undirected and directed topology

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