Abstract
A multi-agent optimization problem motivated by the management of energy systems is discussed. The associated cost function is separable and convex although not necessarily strongly convex and there exist edge-based coupling equality constraints. In this regard, we propose a distributed algorithm based on solving the dual of the augmented problem. Furthermore, we consider that the communication network might be time-varying and the algorithm might be carried out asynchronously. The time-varying nature and the asynchronicity are modeled as random processes. Then, we show the convergence and the convergence rate of the proposed algorithm under the aforementioned conditions.
Original language | English |
---|---|
Pages (from-to) | 3067-3074 |
Journal | IEEE Transactions on Automatic Control |
Volume | 67 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2021 |
Bibliographical note
Accepted Author ManuscriptKeywords
- asynchronous method
- Communication networks
- Convergence
- Cost function
- Couplings
- Distributed algorithms
- multi-agent optimization
- Optimization
- Random processes
- stochastic timevarying network