Resilience for Distributed Consensus With Constraints

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Resilience for Distributed Consensus With Constraints
Συγγραφείς: Xuan Wang, Shaoshuai Mou, Shreyas Sundaram
Πηγή: IEEE Transactions on Automatic Control. 70:6704-6718
Publication Status: Preprint
Στοιχεία εκδότη: Institute of Electrical and Electronics Engineers (IEEE), 2025.
Έτος έκδοσης: 2025
Θεματικοί όροι: 0209 industrial biotechnology, FOS: Electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Systems and Control (eess.SY), Electrical Engineering and Systems Science - Systems and Control
Περιγραφή: This paper proposes a new approach that enables multi-agent systems to achieve resilient \textit{constrained} consensus in the presence of Byzantine attacks, in contrast to existing literature that is only applicable to \textit{unconstrained} resilient consensus problems. The key enabler for our approach is a new device called a \textit{$(γ_i,α_i)$-resilient convex combination}, which allows normal agents in the network to utilize their locally available information to automatically isolate the impact of the Byzantine agents. Such a resilient convex combination is computable through linear programming, whose complexity scales well with the size of the overall system. By applying this new device to multi-agent systems, we introduce network and constraint redundancy conditions under which resilient constrained consensus can be achieved with an exponential convergence rate. We also provide insights on the design of a network such that the redundancy conditions are satisfied. Finally, numerical simulations and an example of safe multi-agent learning are provided to demonstrate the effectiveness of the proposed results.
15 pages
Τύπος εγγράφου: Article
ISSN: 2334-3303
0018-9286
DOI: 10.1109/tac.2025.3565681
DOI: 10.48550/arxiv.2206.05662
Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2206.05662
Rights: IEEE Copyright
arXiv Non-Exclusive Distribution
Αριθμός Καταχώρησης: edsair.doi.dedup.....612159b75e4879f2ef8e233029a377f6
Βάση Δεδομένων: OpenAIRE
Περιγραφή
ISSN:23343303
00189286
DOI:10.1109/tac.2025.3565681