{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T14:35:56Z","timestamp":1772289356980,"version":"3.50.1"},"reference-count":26,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1999,1,1]],"date-time":"1999-01-01T00:00:00Z","timestamp":915148800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["European Journal of Control"],"published-print":{"date-parts":[[1999,1]]},"DOI":"10.1016\/s0947-3580(99)70141-x","type":"journal-article","created":{"date-parts":[[2013,6,13]],"date-time":"2013-06-13T09:53:08Z","timestamp":1371117188000},"page":"70-81","source":"Crossref","is-referenced-by-count":26,"title":["(A, B)-Invariance Conditions of Polyhedral Domains for Continuous-Time Systems"],"prefix":"10.1016","volume":"5","author":[{"given":"C.E.","family":"T. D\u00f3rea","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.-C.","family":"Hennet","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0947-3580(99)70141-X_bib0005","series-title":"Controlled and conditioned invariants in linear system theory","author":"Basile","year":"1992"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0010","first-page":"407","article-title":"Existence of polyhedral positively invariant sets for continuous-time systems","volume":"7","author":"Bitsoris","year":"1991","journal-title":"Control Theory Adv Technol"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0015","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1109\/9.272351","article-title":"Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions","volume":"39","author":"Blanchini","year":"1994","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0020","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/0005-1098(94)00133-4","article-title":"Nonquadratic Lyapunov functions for robust control","volume":"31","author":"Blanchini","year":"1995","journal-title":"Automatica"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0025","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/0167-6911(96)00013-8","article-title":"Constrained stabilization of continuous-time linear systems","volume":"28","author":"Blanchini","year":"1996","journal-title":"Syst Control Lett"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0030","doi-asserted-by":"crossref","first-page":"1127","DOI":"10.1109\/9.388699","article-title":"Persistent disturbance rejection via static-state feedback","volume":"40","author":"Blanchini","year":"1995","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0035","doi-asserted-by":"crossref","first-page":"1680","DOI":"10.1109\/9.262058","article-title":"On invariant polyhedra of continuous-time linear systems","volume":"38","author":"Castelan","year":"1993","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0040","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/0167-6911(85)90079-9","article-title":"On discrete-time linear systems over cones","volume":"6","author":"d\u2019Alessandro","year":"1988","journal-title":"Syst Control Lett"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0045","series-title":"Proceedings of the 3rd IEEE Mediterranean Symposium on New Directions in Control Automation","first-page":"85","article-title":"On maximal invariant sets for discretetime linear systems with disturbances","author":"de Santis","year":"1995"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0050","unstructured":"D\u00f3rea CET. Sur l\u2019 (A,B)-invariance de poly\u00e8dres convexes: application \u00e0 la commande sous contraintes et au probl\u00e8me II, Ph.D. thesis, Universit\u00e9 Paul Sabatier, Toulouse, 1997"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0055","series-title":"Proceedings of the 4th IEEE Mediterranean Symposium on New Directions on Control and Automation","first-page":"286","article-title":"Computation of maximal admissible sets of constrained linear systems","author":"D\u00f3rea","year":"1996"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0060","series-title":"Proceedings of the 35th Conference on Decision Control","first-page":"4319","article-title":"On (A,B)-invariance of polyhedral domains for discrete-time systems","author":"D\u00f3rea","year":"1996"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0065","series-title":"Proceedings of the 1997 European Control Conference","article-title":"(A,B)-invariance conditions of polyhedral domains for continuous-time systems","author":"D\u00f3rea","year":"1997"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0070","series-title":"Proceedings of the 4th IFAC Conference on System Structure and Control","first-page":"315","article-title":"An invariance based algorithm for the l1 optimal control problem.","author":"D\u00f3rea","year":"1997"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0075","series-title":"Proceedings of the 36th IEEE Conference on Decision Control","first-page":"1552","article-title":"A geometric approach to the l1 linear control problem","author":"D\u00f3rea","year":"1997"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0080","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1109\/TAC.1986.1104270","article-title":"Admissible sets and feedback control for discrete-time linear systems with bounded control and states","volume":"31","author":"Gutman","year":"1986","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0085","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1109\/TAC.1987.1104567","article-title":"An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded control and states","volume":"32","author":"Gutman","year":"1987","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0090","doi-asserted-by":"crossref","first-page":"432","DOI":"10.1109\/TAC.1987.1104625","article-title":"Computation of minimumtime feedback control laws for discrete-time systems with state-control constraints","volume":"32","author":"Keerthi","year":"1987","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0095","series-title":"Optimization by vector space methods","author":"Luenberger","year":"1969"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0100","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1016\/0005-1098(96)00002-7","article-title":"On invariant polyhedra of continuous-time systems subject to additive disturbances","volume":"32","author":"Milani","year":"1996","journal-title":"Automatica"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0105","series-title":"Theory of linear and integer programming","author":"Schrijver","year":"1987"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0110","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1016\/0022-0396(76)90029-2","article-title":"Positively invariant closed sets for systems of delay differential equations","volume":"22","author":"Seifert","year":"1976","journal-title":"J Differ Equations"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0115","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1109\/9.489274","article-title":"Optimization of the l\u221e-induced norm under full state feedback","volume":"41","author":"Shamma","year":"1996","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0120","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1109\/9.272344","article-title":"Positively invariant sets for constrained continuous-time systems with cone properties","volume":"39","author":"Tarbouriech","year":"1994","journal-title":"IEEE Trans Autom Control"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0125","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/0167-6911(89)90071-6","article-title":"Constrained regulation of linear continuous-time dynamical systems","volume":"13","author":"Vassilaki","year":"1989","journal-title":"Syst Control Lett"},{"key":"10.1016\/S0947-3580(99)70141-X_bib0130","series-title":"Linear multivariable control: a geometric approach","author":"Wonham","year":"1985"}],"container-title":["European Journal of Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S094735809970141X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S094735809970141X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,10,15]],"date-time":"2018-10-15T05:27:44Z","timestamp":1539581264000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S094735809970141X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,1]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1999,1]]}},"alternative-id":["S094735809970141X"],"URL":"https:\/\/doi.org\/10.1016\/s0947-3580(99)70141-x","relation":{},"ISSN":["0947-3580"],"issn-type":[{"value":"0947-3580","type":"print"}],"subject":[],"published":{"date-parts":[[1999,1]]}}}