Distributed event-triggered algorithm for optimal resource allocation of multi-agent systems

Weiyong Yu; Zhenhua Deng; Hongbing Zhou; Xianlin Zeng

Kybernetika (2017)

  • Volume: 53, Issue: 5, page 747-764
  • ISSN: 0023-5954

Abstract

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This paper is concerned with solving the distributed resource allocation optimization problem by multi-agent systems over undirected graphs. The optimization objective function is a sum of local cost functions associated to individual agents, and the optimization variable satisfies a global network resource constraint. The local cost function and the network resource are the private data for each agent, which are not shared with others. A novel gradient-based continuous-time algorithm is proposed to solve the distributed optimization problem. We take an event-triggered communication strategy and an event-triggered gradient measurement strategy into account in the algorithm. With strongly convex cost functions and locally Lipschitz gradients, we show that the agents can find the optimal solution by the proposed algorithm with exponential convergence rate, based on the construction of a suitable Lyapunov function. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed scheme.

How to cite

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Yu, Weiyong, et al. "Distributed event-triggered algorithm for optimal resource allocation of multi-agent systems." Kybernetika 53.5 (2017): 747-764. <http://eudml.org/doc/294290>.

@article{Yu2017,
abstract = {This paper is concerned with solving the distributed resource allocation optimization problem by multi-agent systems over undirected graphs. The optimization objective function is a sum of local cost functions associated to individual agents, and the optimization variable satisfies a global network resource constraint. The local cost function and the network resource are the private data for each agent, which are not shared with others. A novel gradient-based continuous-time algorithm is proposed to solve the distributed optimization problem. We take an event-triggered communication strategy and an event-triggered gradient measurement strategy into account in the algorithm. With strongly convex cost functions and locally Lipschitz gradients, we show that the agents can find the optimal solution by the proposed algorithm with exponential convergence rate, based on the construction of a suitable Lyapunov function. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed scheme.},
author = {Yu, Weiyong, Deng, Zhenhua, Zhou, Hongbing, Zeng, Xianlin},
journal = {Kybernetika},
language = {eng},
number = {5},
pages = {747-764},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Distributed event-triggered algorithm for optimal resource allocation of multi-agent systems},
url = {http://eudml.org/doc/294290},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Yu, Weiyong
AU - Deng, Zhenhua
AU - Zhou, Hongbing
AU - Zeng, Xianlin
TI - Distributed event-triggered algorithm for optimal resource allocation of multi-agent systems
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 5
SP - 747
EP - 764
AB - This paper is concerned with solving the distributed resource allocation optimization problem by multi-agent systems over undirected graphs. The optimization objective function is a sum of local cost functions associated to individual agents, and the optimization variable satisfies a global network resource constraint. The local cost function and the network resource are the private data for each agent, which are not shared with others. A novel gradient-based continuous-time algorithm is proposed to solve the distributed optimization problem. We take an event-triggered communication strategy and an event-triggered gradient measurement strategy into account in the algorithm. With strongly convex cost functions and locally Lipschitz gradients, we show that the agents can find the optimal solution by the proposed algorithm with exponential convergence rate, based on the construction of a suitable Lyapunov function. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed scheme.
LA - eng
UR - http://eudml.org/doc/294290
ER -

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