多层Snapback网络化数据采样系统能控性

王立夫; 成昊昱; 孔芝; 郭戈

doi:10.16383/j.aas.c250090

多层Snapback网络化数据采样系统能控性

doi: 10.16383/j.aas.c250090 cstr: 32138.14.j.aas.c250090

王立夫^1,,
成昊昱^1,,
孔芝^1,,
郭戈^{1, 2,}

1.
东北大学秦皇岛分校控制工程学院秦皇岛 066004
2.
东北大学流程工业综合自动化国家重点实验室沈阳 110004

基金项目: 国家自然科学基金(62173079, U1808205), 国家留学基金(202308130119), 河北省自然科学基金(F2022501005)资助

详细信息

作者简介:
王立夫：东北大学秦皇岛分校副教授. 主要研究方向为复杂网络，同步控制，能控性，交通网络. E-mail: wlfkz@neuq.edu.cn

成昊昱：东北大学秦皇岛分校硕士研究生. 主要研究方向为复杂网络的能控性. E-mail: 2272237@stu.neu.edu.cn

孔芝：东北大学秦皇岛分校副教授. 主要研究方向为知识发现, 决策分析, 智能优化算法, 复杂网络. E-mail: kongz@neuq.edu.cn

郭戈：东北大学教授. 主要研究方向为智能交通系统，交通大数据分析，人工智能应用，信息物理系统. 本文通信作者. E-mail: geguo@yeah.net

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出版历程
- 收稿日期: 2025-03-08
- 录用日期: 2025-06-09
- 网络出版日期: 2025-07-18

Controllability of Multilayer Snapback Networked Sampled-data Systems

WANG Li-Fu^1
,,
CHENG Hao-Yu^1
,,
KONG Zhi^1
,,
GUO Ge^{1, 2
,}

1.
School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004
2.
State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110004

More Information

Author Bio:
WANG Li-Fu　Associate professor of Northeastern University at Qinhuangdao. His research interests include complex networks, synchron-ous control, controllability, and traffic networks

CHENG Hao-Yu　Master student of Northeastern University at Qinhuangdao. His research interest is controllability of complex networks

KONG Zhi　Associate professor of Northeastern University at Qinhuang-dao. Her research interests include knowledge discovery, decision analy-sis, intelligent optimization algorithms, and complex networks

GUO Ge　Professor of Northeastern University. His research interests include intelligent transportation systems, traffic big data analysis, artificial intelligence applications, and information physical systems. Corresponding author of this paper

摘要

摘要: 针对具有Snapback层间耦合框架的多层网络化数据采样系统的状态能控性展开研究. 首先构建出多层Snapback网络化数据采样系统的数学模型, 并推导出通用三层Snapback网络化数据采样系统能控性的充要条件, 揭示了层内网络拓扑结构, 节点动力学, 外部控制输入, 数据采样及层间耦合框架等因素对能控性的影响. 然后, 针对层内耦合矩阵为可对角化矩阵的基本Snapback网络化数据采样系统, 进一步简化了其能控性条件, 并将其结论进行了推广. 最后, 考虑由简单Snapback结构叠加而成的复合Snapback多层网络, 给出网络化数据采样系统能控性的充分条件. 通过例子验证了本文给出的结论.
- 网络能控性 /
- 数据采样系统 /
- 多层网络 /
- 层间耦合
Abstract: This study investigates the state controllability of multilayer networked sampled-data systems with a snapback inter-layer coupling framework. Firstly, a mathematical model for multilayer snapback networked sampled-data systems is constructed, and the necessary and sufficient conditions for controllability of general three-layer snapback networked sampled-data systems are derived. These conditions reveal the influences of intra-layer network topology, nodal dynamics, external control inputs, data sampling, and inter-layer coupling frameworks on system controllability. For fundamental snapback networked sampled-data systems with diagonalizable intra-layer coupling matrices, the controllability conditions are further simplified and extended. Subsequently, considering composite multilayer networks formed by superposition of simple snapback structures, sufficient conditions for controllability of such networked sampled-data systems are established. Finally, numerical examples are provided to validate the theoretical conclusions presented in this paper.
- Network controllability /
- sampled-data systems /
- multilayer network /
- interlayer coupling

HTML全文

图 1 基本三层Snapback网络化采样数据系统

Fig. 1 Basic three-layer Snapback networked sampled-data system

下载: 全尺寸图片幻灯片

图 2 三层Snapback网络化采样数据系统实例(黄色和蓝色的三角形, 分别表示外界输入的控制采样和系统内部的传输采样) ((a) 整个网络化数据采样系统; (b) 层间耦合拓扑结构; (c) 层内耦合拓扑结构; (d) 单个节点系统)

Fig. 2 Example of a three-layer Snapback networked sampled-data system(The yellow and blue triangles represent the control sampling from external inputs and the transmission sampling within the system, respectively) ((a) Entire networked; sampled-data system; (b) Inter-layer coupling topology; (c) Intra-layer coupling topology; (d) Single-node system)

下载: 全尺寸图片幻灯片

图 3 叠加三层Snapback网络化采样数据系统

Fig. 3 Superimposed three-layer Snapback networked Sampled-data system.

下载: 全尺寸图片幻灯片

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