A Distributed Resource Allocation Algorithm for the General Linear Multiagent Systems

We study the distributed resource allocation problem for heterogeneous multiagent systems over an undirected graph, an essential issue in multiagent system coordinated control and complex network system control. The decision variable is subject to global equality and local convex set constraints, an...

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Bibliographic Details
Published in:Mathematical problems in engineering Vol. 2022; pp. 1 - 11
Main Authors: Li, M., Shao, B., Shi, X.
Format: Journal Article
Language:English
Published: New York Hindawi 22.08.2022
John Wiley & Sons, Inc
Subjects:
Adaptive algorithms
Communication
Communications networks
Control systems
Convex analysis
Design
Linear systems
Multiagent systems
Optimization algorithms
Penalty function
Resource allocation
ISSN:1024-123X, 1563-5147
Online Access:Get full text
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Summary:We study the distributed resource allocation problem for heterogeneous multiagent systems over an undirected graph, an essential issue in multiagent system coordinated control and complex network system control. The decision variable is subject to global equality and local convex set constraints, and the objective is smooth and convex. It aims to minimize the global objective function by exchanging neighboring information between agents. An adaptive distributed algorithm is designed using the distance function-based exact penalty function method. A state- and time-based triggering condition is designed to avoid continuous communication and reduce the communication burden. From a random initial state, the proposed algorithm asymptotically converges to the optimal value by means of LaSalle’s invariance principle. Finally, examples are provided to demonstrate the effectiveness of our algorithm.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2022/1434099