201. Distributed Nonconvex Event-Triggered Optimization Over Time-Varying Directed Networks
- Author
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Wei Du, Yang Tang, Chen Liang, Zi wei Dong, Shuai Mao, and Yu-Chu Tian
- Subjects
Mathematical optimization ,Optimization problem ,Computer science ,Regular polygon ,Process (computing) ,Mode (statistics) ,Computer Science Applications ,Transmission (telecommunications) ,Rate of convergence ,Control and Systems Engineering ,Convergence (routing) ,Electrical and Electronic Engineering ,Information Systems ,Data transmission - Abstract
Many problems in industrial smart manufacturing, such as process operational optimization and decision-making, can be regarded as distributed non-convex optimization problems, whose goal is to utilize distributed nodes to cooperatively search for the minimal value of the global objective function. Considering data transmission mode, transmission condition and communication waste in industrial applications, it is meaningful to study the distributed non-convex optimization problem with an event-triggered strategy over time-varying directed networks. To solve such a problem, a distributed non-convex event-triggered algorithm is proposed in this paper. Under some assumptions on local objective functions, gradients and step-sizes, the convergence of the proposed event-triggered algorithm to the local minimum is proved. Moreover, it is obtained that the proposed distributed event-triggered algorithm has a convergence rate of O(1/ln(t)). Finally, two examples in industrial systems are provided to validate the effectiveness of the proposed algorithm.
- Published
- 2022
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