Distributed Adaptive Optimization for Generalized Linear Multiagent Systems

In this paper, the edge-based and node-based adaptive algorithms are established, respectively, to solve the distribution convex optimization problem. The algorithms are based on multiagent systems with general linear dynamics; each agent uses only local information and cooperatively reaches the min...

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Bibliographic Details
Published inDiscrete dynamics in nature and society Vol. 2019; no. 2019; pp. 1 - 10
Main Authors Mei, Xuehui, Zhang, Liwei, Jiang, Haijun, Liu, Shuxin
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2019
Hindawi
John Wiley & Sons, Inc
Hindawi Limited
Wiley
Subjects
Adaptive algorithms
Adaptive systems
Algorithms
Computational geometry
Convex analysis
Convexity
Cybernetics
Damping
Design
Drone aircraft
Eigenvalues
Linear systems
Multiagent systems
Optimization
Optimization algorithms
Iran
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Summary:In this paper, the edge-based and node-based adaptive algorithms are established, respectively, to solve the distribution convex optimization problem. The algorithms are based on multiagent systems with general linear dynamics; each agent uses only local information and cooperatively reaches the minimizer. Compared with existing results, a damping term in the adaptive law is introduced for the adaptive algorithms, which makes the algorithms more robust. Under some sufficient conditions, all agents asymptotically converge to the consensus value which minimizes the cost function. An example is provided for the effectiveness of the proposed algorithms.
ISSN:1026-0226
1607-887X
DOI:10.1155/2019/9181093