Distributed multi-step subgradient optimization for multi-agent system
This paper proposes a novel multi-step subgradient scheme to solve distributed optimization problem with a balanced digraph. To this end, matrix diameter and radius are first introduced to describe the convergence rate of the adjacency matrix. Then, we propose a hierarchical and recursive observer t...
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| Vydané v: | Systems & control letters Ročník 128; s. 26 - 33 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Elsevier B.V
01.06.2019
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| Predmet: | |
| ISSN: | 0167-6911, 1872-7956 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | This paper proposes a novel multi-step subgradient scheme to solve distributed optimization problem with a balanced digraph. To this end, matrix diameter and radius are first introduced to describe the convergence rate of the adjacency matrix. Then, we propose a hierarchical and recursive observer to estimate the desired optimal solution, and we prove that the proposed strategy can asymptotically obtain an optimal solution, while all networked systems achieve a consensus among estimates in a finite-time. Simulation results verified the effectiveness of the proposed algorithm. |
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| ISSN: | 0167-6911 1872-7956 |
| DOI: | 10.1016/j.sysconle.2019.04.008 |