Distributed optimization via dynamic event-triggered scheme with metric subregularity condition

Xin Yu , Xi Chen , Yuan Fan , Songsong Cheng

Autonomous Intelligent Systems ›› 2024, Vol. 4 ›› Issue (1) : 4

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Autonomous Intelligent Systems ›› 2024, Vol. 4 ›› Issue (1) : 4 DOI: 10.1007/s43684-024-00063-z
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Distributed optimization via dynamic event-triggered scheme with metric subregularity condition

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Abstract

In this paper, we present a continuous-time algorithm with a dynamic event-triggered communication (DETC) mechanism for solving a class of distributed convex optimization problems that satisfy a metric subregularity condition. The proposed algorithm addresses the challenge of limited bandwidth in multi-agent systems by utilizing a continuous-time optimization approach with DETC. Furthermore, we prove that the distributed event-triggered algorithm converges exponentially to the optimal set, even without strong convexity conditions. Finally, we provide a comparison example to demonstrate the efficiency of our algorithm in communication resource-saving.

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Xin Yu, Xi Chen, Yuan Fan, Songsong Cheng. Distributed optimization via dynamic event-triggered scheme with metric subregularity condition. Autonomous Intelligent Systems, 2024, 4(1): 4 DOI:10.1007/s43684-024-00063-z

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Funding

National Natural Science Foundation of China,(62103003)

Natural Science Foundation of Anhui Province,(2008085J32)

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