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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Veröffentlicht in:Chinese Control Conference S. 5393 - 5398
Hauptverfasser: Wei, Yutian, Xie, Jin, Gao, Weifeng, Li, Hong
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: Technical Committee on Control Theory, Chinese Association of Automation 28.07.2024
Schlagworte:
Convex functions
Delay effects
Delays
Directed Topology
Distributed Convex Optimization
Multi-agent System
Network topology
Numerical simulation
Sufficient conditions
Time Delay
Upper bound
Zero-Gradient-Sum
ISSN:1934-1768
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Zusammenfassung: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