000151478 001__ 151478
000151478 005__ 20250310131043.0
000151478 0247_ $$2doi$$a10.1109/TAC.2025.3540423
000151478 0248_ $$2sideral$$a143141
000151478 037__ $$aART-2025-143141
000151478 041__ $$aeng
000151478 100__ $$0(orcid)0000-0001-9671-4056$$aSebastián, Eduardo$$uUniversidad de Zaragoza
000151478 245__ $$aDistributed Discrete-Time Dynamic Outer Approximation of the Intersection of Ellipsoids
000151478 260__ $$c2025
000151478 5060_ $$aAccess copy available to the general public$$fUnrestricted
000151478 5203_ $$aThis 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.
000151478 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000151478 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000151478 700__ $$aAldana-López, Rodrigo
000151478 700__ $$0(orcid)0000-0001-9458-6257$$aAragüés, Rosario$$uUniversidad de Zaragoza
000151478 700__ $$0(orcid)0000-0002-5176-3767$$aMontijano, Eduardo$$uUniversidad de Zaragoza
000151478 700__ $$0(orcid)0000-0002-3032-954X$$aSagüés, Carlos$$uUniversidad de Zaragoza
000151478 7102_ $$15007$$2520$$aUniversidad de Zaragoza$$bDpto. Informát.Ingenie.Sistms.$$cÁrea Ingen.Sistemas y Automát.
000151478 773__ $$g(2025), 1-8$$pIEEE trans. automat. contr.$$tIEEE TRANSACTIONS ON AUTOMATIC CONTROL$$x0018-9286
000151478 8564_ $$s943895$$uhttps://zaguan.unizar.es/record/151478/files/texto_completo.pdf$$yVersión publicada
000151478 8564_ $$s3990541$$uhttps://zaguan.unizar.es/record/151478/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000151478 909CO $$ooai:zaguan.unizar.es:151478$$particulos$$pdriver
000151478 951__ $$a2025-03-10-12:56:34
000151478 980__ $$aARTICLE