Structural consensus in networks with directed topologies and its cryptographic implementation
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Updated: Aug 19, 2025

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Published on: September 8, 2023
Wentuo Fang1, Zhiyong Chen2, Mohsen Zamani3
1School of Automation, Central South University, Changsha, Hunan 410083, China; School of Engineering, The University of Newcastle, Callaghan, NSW 2308, Australia.
Abstract:
The existing cryptosystem based approaches for privacy-preserving consensus of networked systems are usually limited to those with undirected topologies. This paper proposes a new privacy-preserving algorithm for networked systems with directed topologies to reach confidential consensus. As a prerequisite for applying the algorithm, a structural consensus problem is formulated and the solvability conditions are discussed for an explicitly constructed controller. The controller is then implemented with encryption to achieve consensus while avoiding individual's information leakage to external eavesdroppers and/or malicious internal neighbors.
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