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Controllability preservation in complex networks via minimal edge configurations.

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Bibliographic Details
Title: Controllability preservation in complex networks via minimal edge configurations.
Authors: Sun, Zhuo, Liu, Yifan, Zhou, Rui, Li, Rushi, Wu, Mincheng
Source: Scientific Reports; 11/11/2025, Vol. 15 Issue 1, p1-14, 14p
Subject Terms: CONTROLLABILITY in systems engineering, SIMILARITY transformations, MATHEMATICAL programming, MATHEMATICAL optimization, ELECTRIC network topology
Abstract: Recent advances in networked control systems have resulted in linear time-invariant (LTI) networks of increasing scale and complexity, thereby presenting significant challenges for controllability optimization. This study proposes a novel optimization framework to enhance control efficiency and reduce network complexity in large-scale complex networks, leveraging exact controllability theory and matrix similarity transformations for both directed and undirected topologies. Firstly, a method is introduced for identifying node correspondences before and after similarity transformations of the network's adjacency matrix. Subsequently, a minimal-edge connection framework is proposed to link Jordan blocks associated with distinct eigenvalues in the Jordan canonical form. Finally, building upon this method and framework, a specific optimization strategy is developed to minimize the number of inter-node connections while preserving network controllability. The proposed approach effectively simplifies the network structure and improves control efficiency. [ABSTRACT FROM AUTHOR]
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Database: Complementary Index
Description
Abstract:Recent advances in networked control systems have resulted in linear time-invariant (LTI) networks of increasing scale and complexity, thereby presenting significant challenges for controllability optimization. This study proposes a novel optimization framework to enhance control efficiency and reduce network complexity in large-scale complex networks, leveraging exact controllability theory and matrix similarity transformations for both directed and undirected topologies. Firstly, a method is introduced for identifying node correspondences before and after similarity transformations of the network's adjacency matrix. Subsequently, a minimal-edge connection framework is proposed to link Jordan blocks associated with distinct eigenvalues in the Jordan canonical form. Finally, building upon this method and framework, a specific optimization strategy is developed to minimize the number of inter-node connections while preserving network controllability. The proposed approach effectively simplifies the network structure and improves control efficiency. [ABSTRACT FROM AUTHOR]
ISSN:20452322
DOI:10.1038/s41598-025-23175-9