A Distributed Convex Optimization Algorithm over Directed Networks with Time Delay

This paper aims to explore a novel distributed convex optimization algorithm over directed networks with communication delay based on zero-gradient-sum strategy to solve a class of the distributed convex optimization problem. Firstly, distributed convex optimization problem is formulated as minimizi...

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Vydáno v:Chinese Control Conference s. 5393 - 5398
Hlavní autoři: Wei, Yutian, Xie, Jin, Gao, Weifeng, Li, Hong
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: Technical Committee on Control Theory, Chinese Association of Automation 28.07.2024
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ISSN:1934-1768
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Shrnutí:This paper aims to explore a novel distributed convex optimization algorithm over directed networks with communication delay based on zero-gradient-sum strategy to solve a class of the distributed convex optimization problem. Firstly, distributed convex optimization problem is formulated as minimizing a separable global objective function. Secondly, the convergence of improved algorithm is analyzed by constructing a Lyapunov-Krasovskii functional. In addition, a time delay upper bound is derived to make sure that all agents cooperatively converge to the global optimal consistency as a sufficient condition. Finally, a numerical simulation example is given to verify the effectiveness of improved algorithm.
ISSN:1934-1768
DOI:10.23919/CCC63176.2024.10662519