Distributed Optimization for Second-Order Multi-Agent Systems over Directed Networks

Feiyang Yang, Zhiyong Yu (), Da Huang and Haijun Jiang
Additional contact information
Feiyang Yang: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China
Zhiyong Yu: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China
Da Huang: Department of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi 830023, China
Haijun Jiang: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China

Mathematics, 2022, vol. 10, issue 20, 1-22

Abstract: This paper studies a generalized distributed optimization problem for second-order multi-agent systems (MASs) over directed networks. Firstly, an improved distributed continuous-time algorithm is proposed. By using the linear transformation method and Lyapunov stability theory, some conditions are obtained to guarantee all agents’ states asymptotically reach the optimal solution. Secondly, to reduce unnecessary communication transmission and control cost, an event-triggered algorithm is designed. Moreover, the convergence of the algorithm is proved, and the Zeno behavior can be avoided based on strict theoretic analysis. Finally, one example is given to verify the good performance of the proposed algorithms.

Keywords: distributed optimization; directed graph; event-triggered communication; multi-agent systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/20/3803/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/20/3803/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:20:p:3803-:d:943050

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().