Distributed dynamic event-triggered algorithm with positive minimum inter-event time for convex optimisation problem

In this study, we investigate the distributed convex optimisation problem of the multi-agent system over an undirected network, in which the global objective function is the sum of all the local cost functions and the local cost function of each agent is only known by itself. In order to save the co...

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Vydané v:	International journal of control Ročník 95; číslo 5; s. 1363 - 1370
Hlavní autori:	Shi, Xiasheng, Lin, Zhiyun, Zheng, Ronghao, Wang, Xuesong
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Abingdon Taylor & Francis 04.05.2022 Taylor & Francis Ltd
Predmet:	Algorithms Cost function Distributed convex optimisation event-triggered minimum inter-event time Multiagent systems Optimization zero-gradient-sum algorithm
ISSN:	0020-7179, 1366-5820
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Abstract	In this study, we investigate the distributed convex optimisation problem of the multi-agent system over an undirected network, in which the global objective function is the sum of all the local cost functions and the local cost function of each agent is only known by itself. In order to save the computation and communication resources, the above optimisation problem is addressed by designing two zero-gradient-sum algorithms with state-based dynamic event-triggered mechanism, where the information communication only occurs at some discrete triggering time instants. The Zeno behaviour of the above event-triggered control scheme is excluded by the existence of the positive minimum inter-event time (MIET). The convergence is proved based on the Lyapunov method. Finally, we illustrate and evaluate the effectiveness of the proposed event-triggered algorithms through numerical experiments on simulated.
AbstractList	In this study, we investigate the distributed convex optimisation problem of the multi-agent system over an undirected network, in which the global objective function is the sum of all the local cost functions and the local cost function of each agent is only known by itself. In order to save the computation and communication resources, the above optimisation problem is addressed by designing two zero-gradient-sum algorithms with state-based dynamic event-triggered mechanism, where the information communication only occurs at some discrete triggering time instants. The Zeno behaviour of the above event-triggered control scheme is excluded by the existence of the positive minimum inter-event time (MIET). The convergence is proved based on the Lyapunov method. Finally, we illustrate and evaluate the effectiveness of the proposed event-triggered algorithms through numerical experiments on simulated.
Author	Lin, Zhiyun Shi, Xiasheng Zheng, Ronghao Wang, Xuesong
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SubjectTerms	Algorithms Cost function Distributed convex optimisation event-triggered minimum inter-event time Multiagent systems Optimization zero-gradient-sum algorithm
Title	Distributed dynamic event-triggered algorithm with positive minimum inter-event time for convex optimisation problem
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