151478 20260418110657.0 doi 10.1109/TAC.2025.3540423 sideral 143141 ART-2025-143141 eng Sebastián, Eduardo Universidad de Zaragoza (orcid)0000-0001-9671-4056 Distributed Discrete-Time Dynamic Outer Approximation of the Intersection of Ellipsoids 2025 Access copy available to the general public Unrestricted This paper presents the first discrete-time distributed algorithm to track the tightest ellipsoids that outer approximates the global dynamic intersection of ellipsoids. Given an undirected network, we consider a setup where each node measures an ellipsoid, defined as a time-varying positive semidefinite matrix. The goal is to devise a distributed algorithm to track the tightest outer approximation of the intersection of all the ellipsoids. The solution is based on a novel distributed reformulation of the original centralized semi-definite outer Löwner-John program, characterized by a non-separable objective function and global constraints. We prove finite-time convergence to the global minima of the centralized problem in the static case and finite-time bounded tracking error in the dynamic case. Moreover, we prove boundedness of estimation in the tracking of the global optimum and robustness in the estimation against time-varying inputs. We illustrate the properties of the algorithm with different simulated examples, including a distributed estimation showcase where our proposal is integrated into a distributed Kalman filter to surpass the state-of-the-art in mean square error performance. info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Aldana-López, Rodrigo Universidad de Zaragoza (orcid)0000-0001-6939-6523 Aragüés, Rosario Universidad de Zaragoza (orcid)0000-0001-9458-6257 Montijano, Eduardo Universidad de Zaragoza (orcid)0000-0002-5176-3767 Sagüés, Carlos Universidad de Zaragoza (orcid)0000-0002-3032-954X 5007 520 Universidad de Zaragoza Dpto. Informát.Ingenie.Sistms. Área Ingen.Sistemas y Automát. 70, 7 (2025), 4809-4816 IEEE trans. automat. contr. IEEE TRANSACTIONS ON AUTOMATIC CONTROL 0018-9286 943895 http://zaguan.unizar.es/record/151478/files/texto_completo.pdf Versión publicada 3990541 http://zaguan.unizar.es/record/151478/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:151478 articulos driver 2026-04-18-11:05:07 ARTICLE