Controllability of Multi-Weighted Directed Dynamical Networks

Ying Zheng; Guo-Ping Jiang; Yayong Wu; Xinwei Wang; Guanrong Chen

doi:10.1109/TCNS.2025.3590409

Controllability of Multi-Weighted Directed Dynamical Networks

Ying Zheng
, Guo-Ping Jiang^*
, Yayong Wu
, Xinwei Wang
, Guanrong Chen

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

1 Citation (Scopus)

Abstract

This article studies the controllability of multiweighted directed dynamical networks, where the nodes are heterogeneous linear time-invariant dynamical systems and the connections are characterized by multiple weight attributes. For such multiweighted networks to be controllable, some necessary and sufficient conditions are established. To identify different weight attributes, a multiweighted network is decomposed into multiple single-weighted networks, and then their relationships are characterized with respect to their controllability. Furthermore, the controllability of multiweighted networks with some typical topologies is studied in detail, for which specific controllability conditions are derived. Simulations are presented to verify the theoretical results. This research reveals the impact of multiple weight attributes, node dynamics, and inner coupling structures on the controllability of the integrated multiweighted networks, demonstrating that the controllability of multiweighted networks is remarkably distinct from single-weighted networks. © 2025 IEEE.

Original language	English
Pages (from-to)	2763-2773
Number of pages	11
Journal	IEEE Transactions on Control of Network Systems
Volume	12
Issue number	4
Online published	17 Jul 2025
DOIs	https://doi.org/10.1109/TCNS.2025.3590409
Publication status	Published - Dec 2025

Funding

This work was supported by the National Natural Science Foundation of China under Grants 62373197 and 61873326, and in part by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China under Grant 23KJB120010. (Corresponding author: Guo-Ping Jiang.) Y. Zheng, G.-P. Jiang, Y. Wu, X. Wang are with the College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications and also with Jiangsu Engineering Center for IOT Intelligent Robots (IOTRobot), Nanjing 210023, China (e-mails: [email protected]; [email protected]; [email protected]; [email protected]).

Research Keywords

Controllability
linear timeinvariant system
multi-weighted network
node heterogeneity
single-weighted network
linear time-invariant (LTI) system
multiweighted network

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@article{f6a9b29440444c79b6e9a073f718b845,

title = "Controllability of Multi-Weighted Directed Dynamical Networks",

abstract = "This article studies the controllability of multiweighted directed dynamical networks, where the nodes are heterogeneous linear time-invariant dynamical systems and the connections are characterized by multiple weight attributes. For such multiweighted networks to be controllable, some necessary and sufficient conditions are established. To identify different weight attributes, a multiweighted network is decomposed into multiple single-weighted networks, and then their relationships are characterized with respect to their controllability. Furthermore, the controllability of multiweighted networks with some typical topologies is studied in detail, for which specific controllability conditions are derived. Simulations are presented to verify the theoretical results. This research reveals the impact of multiple weight attributes, node dynamics, and inner coupling structures on the controllability of the integrated multiweighted networks, demonstrating that the controllability of multiweighted networks is remarkably distinct from single-weighted networks. {\textcopyright} 2025 IEEE.",

keywords = "Controllability, linear timeinvariant system, multi-weighted network, node heterogeneity, single-weighted network, linear time-invariant (LTI) system, multiweighted network",

author = "Ying Zheng and Guo-Ping Jiang and Yayong Wu and Xinwei Wang and Guanrong Chen",

year = "2025",

month = dec,

doi = "10.1109/TCNS.2025.3590409",

language = "English",

volume = "12",

pages = "2763--2773",

journal = "IEEE Transactions on Control of Network Systems",

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TY - JOUR

T1 - Controllability of Multi-Weighted Directed Dynamical Networks

AU - Zheng, Ying

AU - Jiang, Guo-Ping

AU - Wu, Yayong

AU - Wang, Xinwei

AU - Chen, Guanrong

PY - 2025/12

Y1 - 2025/12

N2 - This article studies the controllability of multiweighted directed dynamical networks, where the nodes are heterogeneous linear time-invariant dynamical systems and the connections are characterized by multiple weight attributes. For such multiweighted networks to be controllable, some necessary and sufficient conditions are established. To identify different weight attributes, a multiweighted network is decomposed into multiple single-weighted networks, and then their relationships are characterized with respect to their controllability. Furthermore, the controllability of multiweighted networks with some typical topologies is studied in detail, for which specific controllability conditions are derived. Simulations are presented to verify the theoretical results. This research reveals the impact of multiple weight attributes, node dynamics, and inner coupling structures on the controllability of the integrated multiweighted networks, demonstrating that the controllability of multiweighted networks is remarkably distinct from single-weighted networks. © 2025 IEEE.

AB - This article studies the controllability of multiweighted directed dynamical networks, where the nodes are heterogeneous linear time-invariant dynamical systems and the connections are characterized by multiple weight attributes. For such multiweighted networks to be controllable, some necessary and sufficient conditions are established. To identify different weight attributes, a multiweighted network is decomposed into multiple single-weighted networks, and then their relationships are characterized with respect to their controllability. Furthermore, the controllability of multiweighted networks with some typical topologies is studied in detail, for which specific controllability conditions are derived. Simulations are presented to verify the theoretical results. This research reveals the impact of multiple weight attributes, node dynamics, and inner coupling structures on the controllability of the integrated multiweighted networks, demonstrating that the controllability of multiweighted networks is remarkably distinct from single-weighted networks. © 2025 IEEE.

KW - Controllability

KW - linear timeinvariant system

KW - multi-weighted network

KW - node heterogeneity

KW - single-weighted network

KW - linear time-invariant (LTI) system

KW - multiweighted network

UR - https://www.scopus.com/pages/publications/105011166143

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-105011166143&origin=recordpage

U2 - 10.1109/TCNS.2025.3590409

DO - 10.1109/TCNS.2025.3590409

M3 - RGC 21 - Publication in refereed journal

SN - 2325-5870

VL - 12

SP - 2763

EP - 2773

JO - IEEE Transactions on Control of Network Systems

JF - IEEE Transactions on Control of Network Systems

IS - 4

ER -

Controllability of Multi-Weighted Directed Dynamical Networks

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Research Keywords

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