{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/near-optimal-distributed-linear-quadratic","title":"Near-Optimal Distributed Linear-Quadratic Regulator for Networked Systems","arxiv_id":"2204.05551","date":"2022-04-12","proceeding":null,"authors":["Sungho Shin","Yiheng Lin","Guannan Qu","Adam Wierman","Mihai Anitescu"],"abstract":"This paper studies the trade-off between the degree of decentralization and the performance of a distributed controller in a linear-quadratic control setting. We study a system of interconnected agents over a graph and a distributed controller, called $\\kappa$-distributed control, which lets the agents make control decisions based on the state information within distance $\\kappa$ on the underlying graph. This controller can tune its degree of decentralization using the parameter $\\kappa$ and thus allows a characterization of the relationship between decentralization and performance. We show that under mild assumptions, including stabilizability, detectability, and a subexponentially growing graph condition, the performance difference between $\\kappa$-distributed control and centralized optimal control becomes exponentially small in $\\kappa$. This result reveals that distributed control can achieve near-optimal performance with a moderate degree of decentralization, and thus it is an effective controller architecture for large-scale networked systems.","url_abs":"https://arxiv.org/abs/2204.05551v2","url_pdf":"https://arxiv.org/pdf/2204.05551v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"near-optimal-distributed-linear-quadratic","repo_url":"https://github.com/sshin23/near-optimal-distributed-lqr","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}