{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T20:11:34Z","timestamp":1778271094409,"version":"3.51.4"},"reference-count":41,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T00:00:00Z","timestamp":1776643200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100024370","name":"Ministero dell'Istruzione dell'Universit\u00e0 e della Ricerca","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100024370","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Systems &amp; Control Letters"],"published-print":{"date-parts":[[2026,6]]},"DOI":"10.1016\/j.sysconle.2026.106450","type":"journal-article","created":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T15:59:47Z","timestamp":1776873587000},"page":"106450","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Robust synchronization problems for max-plus linear systems with polytopic uncertainties"],"prefix":"10.1016","volume":"213","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9346-2113","authenticated-orcid":false,"given":"David","family":"Scaradozzi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8802-2164","authenticated-orcid":false,"given":"Veronica","family":"Bartolucci","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5679-555X","authenticated-orcid":false,"given":"Anna Maria","family":"Perdon","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6615-1539","authenticated-orcid":false,"given":"Giuseppe","family":"Conte","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1360-671X","authenticated-orcid":false,"given":"Elena","family":"Zattoni","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"3","key":"10.1016\/j.sysconle.2026.106450_b1","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1109\/TAC.1985.1103925","article-title":"A linear-system-theoretic view of discrete-event processes and its use for performance evaluation in manufacturing","volume":"30","author":"Cohen","year":"1985","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.sysconle.2026.106450_b2","article-title":"Synchronization and linearity: An algebra for discrete event systems","author":"Baccelli","year":"1992"},{"key":"10.1016\/j.sysconle.2026.106450_b3","series-title":"50th IEEE Conference on Decision and Control and European Control Conference","first-page":"1149","article-title":"Towards geometric control of max-plus linear systems with applications to manufacturing systems","author":"Hardouin","year":"2011"},{"issue":"1","key":"10.1016\/j.sysconle.2026.106450_b4","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/s10696-023-09484-z","article-title":"Modeling and scheduling of production systems by using max-plus algebra","volume":"36","author":"Al Bermanei","year":"2024","journal-title":"Flex. Serv. Manuf. J."},{"key":"10.1016\/j.sysconle.2026.106450_b5","article-title":"Max plus at work: Modeling and analysis of synchronized systems","author":"Heidergott","year":"2006"},{"key":"10.1016\/j.sysconle.2026.106450_b6","series-title":"Modelling a Shoal of Marine Biomimetic Vehicles: a Max-Plus Algebra Approach","author":"Bartolucci","year":"2024"},{"issue":"11","key":"10.1016\/j.sysconle.2026.106450_b7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ifacol.2025.09.515","article-title":"A synchronization problem for a team of AUVs in the max-plus algebra framework","volume":"59","author":"Bartolucci","year":"2025","journal-title":"IFAC-PapersOnLine"},{"key":"10.1016\/j.sysconle.2026.106450_b8","series-title":"2025 33rd Mediterranean Conference on Control and Automation","first-page":"526","article-title":"A max-plus algebra-based platform for modelling coordinated underwater tasks of fish robots","author":"Bartolucci","year":"2025"},{"issue":"26","key":"10.1016\/j.sysconle.2026.106450_b9","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.ifacol.2024.10.278","article-title":"A max-plus algebra approach to model laboratory experiences in blended control engineering education","volume":"58","author":"Screpanti","year":"2024","journal-title":"IFAC-PapersOnLine"},{"key":"10.1016\/j.sysconle.2026.106450_b10","series-title":"Controlled and Conditioned Invariants in Linear System Theory","author":"Basile","year":"1992"},{"key":"10.1016\/j.sysconle.2026.106450_b11","series-title":"Linear Multivariable Control: A Geometric Approach","author":"Wonham","year":"1985"},{"issue":"4","key":"10.1016\/j.sysconle.2026.106450_b12","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1109\/TAC.1973.1100342","article-title":"Structure and design of linear model following systems","volume":"18","author":"Morse","year":"1973","journal-title":"IEEE Trans. Autom. Control"},{"issue":"3","key":"10.1016\/j.sysconle.2026.106450_b13","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1109\/TAC.1984.1103502","article-title":"Infinite structure and exact model matching problem: A geometric approach","volume":"29","author":"Malabre","year":"1984","journal-title":"IEEE Trans. Autom. Control"},{"issue":"5","key":"10.1016\/j.sysconle.2026.106450_b14","doi-asserted-by":"crossref","first-page":"1063","DOI":"10.1137\/0324063","article-title":"Matching of nonlinear models via dynamic state feedback","volume":"24","author":"Di Benedetto","year":"1986","journal-title":"SIAM J. Control Optim."},{"issue":"2","key":"10.1016\/j.sysconle.2026.106450_b15","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1007\/s10957-004-1857-5","article-title":"Self-bounded controlled invariant subspaces in model following by output feedback: Minimal-order solution for nonminimum-phase systems","volume":"125","author":"Marro","year":"2005","journal-title":"J. Optim. Theory Appl."},{"key":"10.1016\/j.sysconle.2026.106450_b16","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1016\/j.automatica.2015.11.017","article-title":"Necessary and sufficient conditions for asymptotic model matching of switching linear systems","volume":"64","author":"Perdon","year":"2016","journal-title":"Automatica"},{"key":"10.1016\/j.sysconle.2026.106450_b17","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1016\/j.sysconle.2016.09.009","article-title":"Model matching with strong stability in switched linear systems","volume":"97","author":"Perdon","year":"2016","journal-title":"Systems Control Lett."},{"key":"10.1016\/j.sysconle.2026.106450_b18","doi-asserted-by":"crossref","DOI":"10.1016\/j.nahs.2024.101465","article-title":"Model matching problems for impulsive linear systems with polytopic uncertainties","volume":"52","author":"Zattoni","year":"2024","journal-title":"Nonlinear Anal. Hybrid Syst."},{"key":"10.1016\/j.sysconle.2026.106450_b19","unstructured":"W.A. Wolovich, The application of state feedback invariants to exact model matching, in: 5th Annual Princeton Conference on Information Science and Systems, Princeton, NJ, 1971."},{"key":"10.1016\/j.sysconle.2026.106450_b20","article-title":"Control system design based on exact model matching techniques","volume":"vol. 74","author":"Ichikawa","year":"1985"},{"issue":"4","key":"10.1016\/j.sysconle.2026.106450_b21","doi-asserted-by":"crossref","first-page":"769","DOI":"10.1137\/0329042","article-title":"Model matching and factorization for nonlinear systems: a structural approach","volume":"29","author":"Moog","year":"1991","journal-title":"SIAM J. Control Optim."},{"issue":"2","key":"10.1016\/j.sysconle.2026.106450_b22","first-page":"153","article-title":"Rational semimodules over the max-plus semiring and geometric approach to discrete event systems","volume":"40","author":"Gaubert","year":"2004","journal-title":"Kybernetika"},{"issue":"2","key":"10.1016\/j.sysconle.2026.106450_b23","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1109\/TAC.2006.890478","article-title":"Max-plus (A,B)-invariant spaces and control of timed discrete-event systems","volume":"52","author":"Katz","year":"2007","journal-title":"IEEE Trans. Autom. Control"},{"issue":"8","key":"10.1016\/j.sysconle.2026.106450_b24","doi-asserted-by":"crossref","first-page":"5606","DOI":"10.1137\/090747191","article-title":"Duality between invariant spaces for max-plus linear discrete event systems","volume":"48","author":"Di Loreto","year":"2010","journal-title":"SIAM J. Control Optim."},{"issue":"6","key":"10.1016\/j.sysconle.2026.106450_b25","doi-asserted-by":"crossref","first-page":"3581","DOI":"10.1109\/TAC.2022.3191362","article-title":"The model matching problem for max-plus linear systems: A geometric approach","volume":"68","author":"Animobono","year":"2023","journal-title":"IEEE Trans. Autom. Control"},{"issue":"8","key":"10.1016\/j.sysconle.2026.106450_b26","doi-asserted-by":"crossref","first-page":"5613","DOI":"10.1109\/TAC.2024.3368298","article-title":"Synchronization and subsynchronization problems for switching max-plus systems: Structural solvability conditions","volume":"69","author":"Animobono","year":"2024","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"10.1016\/j.sysconle.2026.106450_b27","doi-asserted-by":"crossref","first-page":"4807","DOI":"10.1016\/S1474-6670(17)58441-4","article-title":"Model matching for timed event graphs","volume":"29","author":"Libeaut","year":"1996","journal-title":"IFAC Proc. Vol."},{"issue":"9","key":"10.1016\/j.sysconle.2026.106450_b28","doi-asserted-by":"crossref","first-page":"1451","DOI":"10.1016\/S0005-1098(01)00073-5","article-title":"Model reference control for timed event graphs in dioids","volume":"37","author":"Cottenceau","year":"2001","journal-title":"Automatica"},{"key":"10.1016\/j.sysconle.2026.106450_b29","series-title":"44th IEEE Conference on Decision and Control and European Control Conference","first-page":"7799","article-title":"On the model reference control for max-plus linear systems","author":"Maia","year":"2005"},{"key":"10.1016\/j.sysconle.2026.106450_b30","doi-asserted-by":"crossref","unstructured":"D. Animobono, D. Scaradozzi, E. Zattoni, A.M. Perdon, G. Conte, The model matching problem for periodic max-plus systems, in: 2024 IEEE 63rd Conference on Decision and Control (CDC), 2024, pp. 1376\u20131381, http:\/\/dx.doi.org\/10.1109\/CDC56724.2024.10886764.","DOI":"10.1109\/CDC56724.2024.10886764"},{"issue":"6","key":"10.1016\/j.sysconle.2026.106450_b31","doi-asserted-by":"crossref","first-page":"2700","DOI":"10.1109\/TAC.2021.3090525","article-title":"SMT-based reachability analysis of high dimensional interval max-plus linear systems","volume":"67","author":"Mufid","year":"2022","journal-title":"IEEE Trans. Autom. Control"},{"issue":"17","key":"10.1016\/j.sysconle.2026.106450_b32","doi-asserted-by":"crossref","first-page":"2468","DOI":"10.1049\/cth2.12752","article-title":"State geometric adjustability for interval max-plus linear systems","volume":"18","author":"Yin","year":"2024","journal-title":"IET Control Theory Appl."},{"key":"10.1016\/j.sysconle.2026.106450_b33","doi-asserted-by":"crossref","DOI":"10.1016\/j.automatica.2024.111899","article-title":"On the set-estimation of uncertain max-plus linear systems","volume":"171","author":"Espindola-Winck","year":"2025","journal-title":"Automatica"},{"issue":"2","key":"10.1016\/j.sysconle.2026.106450_b34","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1002\/rnc.1309","article-title":"Robust control of constrained max-plus-linear systems","volume":"19","author":"Necoara","year":"2009","journal-title":"Internat. J. Robust Nonlinear Control"},{"issue":"12","key":"10.1016\/j.sysconle.2026.106450_b35","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/j.ifacol.2025.09.565","article-title":"Model matching problems for max-plus linear systems with polytopic uncertainty in the dynamics","volume":"59","author":"Zattoni","year":"2025","journal-title":"IFAC-PapersOnLine"},{"key":"10.1016\/j.sysconle.2026.106450_b36","series-title":"50th IEEE Conference on Decision and Control and European Control Conference","first-page":"1136","article-title":"A super-eigenvector approach to control constrained max-plus linear systems","author":"Maia","year":"2011"},{"key":"10.1016\/j.sysconle.2026.106450_b37","series-title":"Linear Algebra for Control Theory","first-page":"61","article-title":"Problems and results in a geometric approach to the theory of systems over rings","volume":"vol. 62","author":"Conte","year":"1994"},{"key":"10.1016\/j.sysconle.2026.106450_b38","series-title":"Support de Cours de la 26\u00e8me \u00c9cole de Printemps d\u2019Informatique Th\u00e9orique, Ile de Noirmoutier","article-title":"Exotic semirings: Examples and general results","author":"Gaubert","year":"1998"},{"key":"10.1016\/j.sysconle.2026.106450_b39","series-title":"The maxplus toolbox of scilab","author":"McGettrick","year":"2009"},{"key":"10.1016\/j.sysconle.2026.106450_b40","series-title":"Feedback Control of Linear and Nonlinear Systems","first-page":"107","article-title":"Controlled invariance in systems over rings","volume":"vol. 39","author":"Hautus","year":"1982"},{"issue":"2","key":"10.1016\/j.sysconle.2026.106450_b41","first-page":"203","article-title":"An elimination method for finding all solutions of the system of linear equations over an extremal algebra","volume":"20","author":"Butkovi\u010d","year":"1984","journal-title":"Ekon.-Mat. Obz."}],"container-title":["Systems &amp; Control Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167691126001106?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167691126001106?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T19:11:05Z","timestamp":1778267465000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167691126001106"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6]]},"references-count":41,"alternative-id":["S0167691126001106"],"URL":"https:\/\/doi.org\/10.1016\/j.sysconle.2026.106450","relation":{},"ISSN":["0167-6911"],"issn-type":[{"value":"0167-6911","type":"print"}],"subject":[],"published":{"date-parts":[[2026,6]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Robust synchronization problems for max-plus linear systems with polytopic uncertainties","name":"articletitle","label":"Article Title"},{"value":"Systems & Control Letters","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.sysconle.2026.106450","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Authors. Published by Elsevier B.V.","name":"copyright","label":"Copyright"}],"article-number":"106450"}}