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Matrix-Weight-Based Controllability of Second-Order Signed Multi-agent Networks

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This study addresses the controllability of second-order signed multi-agent networks based on matrix weights. Some controllability conditions of signed second-order multi-agent networks under matrix-weighted topology for the heterogeneous networks and homogenous networks are built, respectively. In addition, the second-order controllability of signed networks with matrix-weights under structurally balanced conditions is considered with selecting appropriate leaders. Finally, simulations and examples are provided to demonstrate the theoretical results.

ControllabilityMulti-agent networksSigned networksStructural balance

Bo Liu、Songlu Li、Junjie Huang、Housheng Su

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School of Information Engineering, The Key Laboratory of Ethnic Language Intelligent Analysis and Security Governance of MOE, Minzu University of China, Beijing 100081, China

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China

School of Artificial Intelligence and Automation, Image Processing and Intelligent Control Key Laboratory of Education Ministry of China, Huazhong University of Science and Technology, Luoyu Road 1037, Wuhan 430074, China

2025

Circuits, systems and signal processing

Circuits, systems and signal processing

ISSN:0278-081X
年,卷(期):2025.44(4)
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