Consensus-based primal-dual method with event-triggered communication.
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| Title: | Consensus-based primal-dual method with event-triggered communication. |
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| Authors: | Hashimoto, Wataru1 (AUTHOR), Hayashi, Naoki2 (AUTHOR) n.hayashi@sys.es.osaka-u.ac.jp, Hara, Naoyuki3 (AUTHOR), Kawaguchi, Natsuki4 (AUTHOR), Sato, Takao4 (AUTHOR), Takai, Shigemasa1 (AUTHOR) |
| Source: | International Journal of Control. Mar2026, Vol. 99 Issue 3, p795-807. 13p. |
| Subjects: | Subgradient methods, Optimization algorithms, Group decision making, Multiagent systems, Convex programming, Computer network protocols |
| Abstract: | This paper proposes an event-triggered distributed subgradient method for solving convex optimisation problems by multi-agent systems. The optimisation problem is formulated as the sum of local cost functions distributed across a network of agents with local constraints for individual agents and global inequality constraints. In the proposed approach, the estimations of the optimal primal-dual solutions are exchanged through local communication with neighbouring agents based on an event-triggered scheme. We prove that if the trigger threshold and the step-size are both diminishing and square-summable, the estimations of all agents converge to the optimal primal-dual solution. Numerical experiments show that the proposed event-triggered method effectively reduces the number of communications compared to the time-triggered methods. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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