{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T15:28:57Z","timestamp":1726068537220},"publisher-location":"Cham","reference-count":27,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030412579"},{"type":"electronic","value":"9783030412586"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-41258-6_3","type":"book-chapter","created":{"date-parts":[[2020,2,27]],"date-time":"2020-02-27T09:02:38Z","timestamp":1582794158000},"page":"30-49","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the Effective Computation of Stabilizing Controllers of 2D Systems"],"prefix":"10.1007","author":[{"given":"Yacine","family":"Bouzidi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Cluzeau","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alban","family":"Quadrat","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fabrice","family":"Rouillier","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,2,28]]},"reference":[{"key":"3_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-33099-2","volume-title":"Algorithms in Real Algebraic Geometry","author":"S Basu","year":"2006","unstructured":"Basu, S., Pollack, R., Roy, M.-F.: Algorithms in Real Algebraic Geometry. Springer, Heidelberg (2006). \nhttps:\/\/doi.org\/10.1007\/3-540-33099-2"},{"key":"3_CR2","doi-asserted-by":"crossref","unstructured":"Bouzidi, Y., Quadrat, A., Rouillier, F.: Computer algebra methods for testing the structural stability of multidimensional systems. In: Proceedings of the IEEE 9th International Workshop on Multidimensional (nD) Systems (2015)","DOI":"10.1109\/NDS.2015.7332633"},{"key":"3_CR3","unstructured":"Bouzidi, Y., Rouillier, F.: Certified Algorithms for proving the structural stability of two-dimensional systems possibly with parameters. In: Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2016) (2016)"},{"issue":"3","key":"3_CR4","doi-asserted-by":"publisher","first-page":"1205","DOI":"10.1007\/s11045-018-0596-y","volume":"30","author":"Y Bouzidi","year":"2019","unstructured":"Bouzidi, Y., Quadrat, A., Rouillier, F.: Certified non-conservative tests for the structural stability of discrete multidimensional systems. Multidimens. Syst. Sig. Process. 30(3), 1205\u20131235 (2019)","journal-title":"Multidimens. Syst. Sig. Process."},{"key":"3_CR5","doi-asserted-by":"crossref","unstructured":"Bouzidi, Y., Cluzeau, T., Moroz, G., Quadrat, A.: Computing effectively stabilizing controllers for a class of $$n$$D systems. In: Proceedings of IFAC 2017 Workshop Congress (2017)","DOI":"10.1016\/j.ifacol.2017.08.200"},{"issue":"17","key":"3_CR6","doi-asserted-by":"publisher","first-page":"88","DOI":"10.1016\/j.ifacol.2019.11.032","volume":"52","author":"Y. Bouzidi","year":"2019","unstructured":"Bouzidi, Y., Cluzeau, T., Quadrat, A.: On the computation of stabilizing controllers of multidimensional systems. In: Proceedings of Joint IFAC Conference 7th SSSC 2019 and 15th TDS 2019 (2019)","journal-title":"IFAC-PapersOnLine"},{"issue":"7","key":"3_CR7","doi-asserted-by":"publisher","first-page":"2133","DOI":"10.1090\/S0002-9939-03-07267-8","volume":"132","author":"D Bridges","year":"2004","unstructured":"Bridges, D., Mines, R., Richman, F., Schuster, P.: The polydisk Nullstellensatz. Proc. Am. Math. Soc. 132(7), 2133\u20132140 (2004)","journal-title":"Proc. Am. Math. Soc."},{"key":"3_CR8","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1007\/s00200-005-0188-6","volume":"16","author":"F Chyzak","year":"2005","unstructured":"Chyzak, F., Quadrat, A., Robertz, D.: Effective algorithms for parametrizing linear control systems over Ore algebras. Appl. Algebra Engrg. Comm. Comput. 16, 319\u2013376 (2005)","journal-title":"Appl. Algebra Engrg. Comm. Comput."},{"key":"3_CR9","series-title":"Lecture Notes in Control and Information Sciences","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/978-3-540-49556-7_15","volume-title":"Applications of Time Delay Systems","author":"F Chyzak","year":"2007","unstructured":"Chyzak, F., Quadrat, A., Robertz, D.: OreModules: a symbolic package for the study of multidimensional linear systems. In: Chiasson, J., Loiseau, J.J. (eds.) Applications of Time Delay Systems. LNCIS, vol. 352, pp. 233\u2013264. Springer, Heidelberg (2007). \nhttps:\/\/doi.org\/10.1007\/978-3-540-49556-7_15"},{"key":"3_CR10","series-title":"Texts in Applied Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4224-6","volume-title":"An Introduction to Infinite-Dimensional Linear Systems Theory","author":"RF Curtain","year":"1995","unstructured":"Curtain, R.F., Zwart, H.J.: An Introduction to Infinite-Dimensional Linear Systems Theory. TAM, vol. 21. Springer, New York (1995). \nhttps:\/\/doi.org\/10.1007\/978-1-4612-4224-6"},{"issue":"5","key":"3_CR11","doi-asserted-by":"publisher","first-page":"657","DOI":"10.1080\/00207177708922261","volume":"25","author":"RA Decarlo","year":"1977","unstructured":"Decarlo, R.A., Murray, J., Saeks, R.: Multivariable Nyquist theory. Int. J. Control 25(5), 657\u2013675 (1977)","journal-title":"Int. J. Control"},{"key":"3_CR12","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1109\/TAC.1980.1102374","volume":"25","author":"CA Desoer","year":"1980","unstructured":"Desoer, C.A., Liu, R.W., Murray, J., Saeks, R.: Feedback system design: the fractional representation approach to analysis and synthesis. IEEE Trans. Automat. Control 25, 399\u2013412 (1980)","journal-title":"IEEE Trans. Automat. Control"},{"key":"3_CR13","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5350-1","volume-title":"Commutative Algebra: with a View Toward Algebraic Geometry","author":"D Eisenbud","year":"1995","unstructured":"Eisenbud, D.: Commutative Algebra: with a View Toward Algebraic Geometry. GTM, vol. 150. Springer, New York (1995). \nhttps:\/\/doi.org\/10.1007\/978-1-4612-5350-1"},{"key":"3_CR14","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/BF00985862","volume":"5","author":"X Li","year":"1994","unstructured":"Li, X., Saito, O., Abe, K.: Output feedback stabilizability and stabilization algorithms for 2D systems. Multidimension. Syst. Sig. Process. 5, 41\u201360 (1994)","journal-title":"Multidimension. Syst. Sig. Process."},{"issue":"11","key":"3_CR15","doi-asserted-by":"publisher","first-page":"1969","DOI":"10.1080\/00207179.2013.823671","volume":"86","author":"L Li","year":"2013","unstructured":"Li, L., Lin, Z.: Stability and stabilisation of linear multidimensional discrete systems in the frequency domain. Int. J. Control 86(11), 1969\u20131989 (2013)","journal-title":"Int. J. Control"},{"key":"3_CR16","unstructured":"Lin, Z.: Output feedback stabilizability and stabilization of linear $$n$$D systems. In: Galkowski, K., Wood, J. (eds.) Multidimensional Signals, Circuits and Systems, pp. 59\u201376. Taylor & Francis"},{"key":"3_CR17","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1023\/A:1011909707499","volume":"12","author":"Z Lin","year":"2001","unstructured":"Lin, Z., Lam, J., Galkowski, K., Xu, S.: A constructive approach to stabilizability and stabilization of a class of $$nD$$ systems. Multidimension. Syst. Sig. Process. 12, 329\u2013343 (2001)","journal-title":"Multidimension. Syst. Sig. Process."},{"key":"3_CR18","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1023\/A:1008230204251","volume":"9","author":"Z Lin","year":"1998","unstructured":"Lin, Z.: Feedback stabilizability of MIMO $$n$$D linear systems. Multidimension. Syst. Sig. Process. 9, 149\u2013172 (1998)","journal-title":"Multidimension. Syst. Sig. Process."},{"key":"3_CR19","doi-asserted-by":"publisher","first-page":"2419","DOI":"10.1109\/9.895573","volume":"45","author":"Z Lin","year":"2000","unstructured":"Lin, Z.: Feedback stabilization of MIMO $$n$$D linear systems. IEEE Trans. Autom. Control 45, 2419\u20132424 (2000)","journal-title":"IEEE Trans. Autom. Control"},{"key":"3_CR20","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1137\/S0363012902417127","volume":"42","author":"A Quadrat","year":"2003","unstructured":"Quadrat, A.: The fractional representation approach to synthesis problems: an algebraic analysis viewpoint. Part I: (weakly) doubly coprime factorizations. SIAM J. Control Optim. 42, 266\u2013299 (2003)","journal-title":"SIAM J. Control Optim."},{"key":"3_CR21","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1137\/S0363012902417139","volume":"42","author":"A Quadrat","year":"2003","unstructured":"Quadrat, A.: The fractional representation approach to synthesis problems: an algebraic analysis viewpoint. Part II: internal stabilization. SIAM J. Control. Optim. 42, 300\u2013320 (2003)","journal-title":"SIAM J. Control. Optim."},{"issue":"2","key":"3_CR22","doi-asserted-by":"publisher","first-page":"281","DOI":"10.5802\/ccirm.11","volume":"1","author":"A Quadrat","year":"2010","unstructured":"Quadrat, A.: An introduction to constructive algebraic analysis and its applications. Les cours du CIRM 1(2), 281\u2013471 (2010). Journ\u00e9es Nationales de Calcul Formel. INRIA Research Report n. 7354","journal-title":"Les cours du CIRM"},{"key":"3_CR23","doi-asserted-by":"publisher","DOI":"10.1007\/b98977","volume-title":"An Introduction to Homological Algebra","author":"JJ Rotman","year":"2009","unstructured":"Rotman, J.J.: An Introduction to Homological Algebra, 2nd edn. Springer, New York (2009). \nhttps:\/\/doi.org\/10.1007\/b98977","edition":"2"},{"key":"3_CR24","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1007\/s002000050114","volume":"9","author":"F Rouillier","year":"1999","unstructured":"Rouillier, F.: Solving zero-dimensional systems through the rational univariate representation. Appl. Algebra Eng. Commun. Comput. 9, 433\u2013461 (1999)","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"key":"3_CR25","unstructured":"Rouillier, F.: Algorithmes pour l\u2019\u00e9tude des solutions r\u00e9elles des syst\u00e8mes polynomiaux. Habilitation, University of Paris 6 (2007)"},{"key":"3_CR26","doi-asserted-by":"publisher","first-page":"432","DOI":"10.1109\/TCS.1977.1084368","volume":"24","author":"M Strintzis","year":"1977","unstructured":"Strintzis, M.: Tests of stability of multidimensional filters. IEEE Trans. Circ. Syst, 24, 432\u2013437 (1977)","journal-title":"IEEE Trans. Circ. Syst,"},{"key":"3_CR27","volume-title":"Control System Synthesis: A Factorization Approach","author":"M Vidyasagar","year":"1985","unstructured":"Vidyasagar, M.: Control System Synthesis: A Factorization Approach. MIT Press, Cambridge (1985)"}],"container-title":["Communications in Computer and Information Science","Maple in Mathematics Education and Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-41258-6_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,27]],"date-time":"2020-02-27T09:03:24Z","timestamp":1582794204000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-41258-6_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030412579","9783030412586"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-41258-6_3","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"28 February 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"MC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Maple Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Waterloo, ON","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Canada","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 October 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 October 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"3","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"mc2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.maplesoft.com\/mapleconference\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"37","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"22","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"8","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"59% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"-","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"1 contributed paper by the Plenary\/Invited Speaker","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}