Nabla Fractional Distributed Optimization Algorithm Over Unbalanced Graphs

被引：3

作者：

Hong, Xiaolin ^{[1
]}

Wei, Yiheng ^{[1
]}

Zhou, Shuaiyu ^{[1
]}

Yue, Dongdong ^{[2
]}

Cao, Jinde ^{[1
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China

[2] Nanjing Tech Univ, Coll Elect Engn & Control Sci, Nanjing 211816, Peoples R China

来源：

IEEE CONTROL SYSTEMS LETTERS | 2024年 / 8卷

基金：

中国国家自然科学基金;

关键词：

Optimization; Heuristic algorithms; Vectors; Fractional calculus; Eigenvalues and eigenfunctions; Radio frequency; Linear programming; Distributed optimization; unbalanced graphs; Nabla fractional difference; multi-agent system; ORDER MULTIAGENT SYSTEMS;

D O I：

10.1109/LCSYS.2024.3367917

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

While fractional calculus has shown appealing properties in optimization related fields, few results have been reported on distributed optimization with fractional dynamics over networks. In this letter, we propose a novel Nabla fractional distributed optimization algorithm over unbalanced graphs. Rigorous analysis demonstrates that the proposed algorithm converges at least with the Mittag-Leffler rate, achieving a globally optimal solution. The algorithm's effectiveness is validated through numerical simulations. The research underscores the potential of utilizing Nabla fractional difference to improve the efficiency of distributed optimization algorithms.

引用

页码：241 / 246

页数：6