{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:01:57Z","timestamp":1761487317924},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1997,12,1]],"date-time":"1997-12-01T00:00:00Z","timestamp":880934400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Control Signal Systems"],"published-print":{"date-parts":[[1997,12]]},"DOI":"10.1007\/bf01211552","type":"journal-article","created":{"date-parts":[[2005,2,25]],"date-time":"2005-02-25T22:52:44Z","timestamp":1109371964000},"page":"364-380","source":"Crossref","is-referenced-by-count":16,"title":["Polyhedral reachable set with positive controls"],"prefix":"10.1007","volume":"10","author":[{"given":"Lorenzo","family":"Farina","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luca","family":"Benvenuti","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1109\/81.486435","volume":"43","author":"B. D. O. Anderson","year":"1996","unstructured":"B. D. O. Anderson, M. Deistler, L. Farina, and L. Benvenuti, Nonnegative realization of a linear system with nonnegative impulse response,IEEE Trans. Circuits and Systems,43 (1996), 134?142.","journal-title":"IEEE Trans. Circuits and Systems"},{"key":"CR2","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/0024-3795(73)90013-X","volume":"6","author":"G. P. Barker","year":"1973","unstructured":"G. P. Barker and R. E. L. Turner, Some observations on the spectra of cone preserving maps,Linear Algebra Appl.,6 (1973), 149?153.","journal-title":"Linear Algebra Appl."},{"key":"CR3","volume-title":"Nonnegative Matrices in Dynamic Systems","author":"A. Berman","year":"1989","unstructured":"A. Berman, M. Neumann, and R. J. Stern,Nonnegative Matrices in Dynamic Systems, Wiley, New York, 1989."},{"key":"CR4","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971262","volume-title":"Nonnegative Matrices in the Mathematical Sciences","author":"A. Berman","year":"1994","unstructured":"A. Berman and R. J. Plemmons,Nonnegative Matrices in the Mathematical Sciences, 2nd edn., SIAM, Philadephia, PA, 1994.","edition":"2nd edn."},{"key":"CR5","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1137\/0310026","volume":"10","author":"R. F. Brammer","year":"1972","unstructured":"R. F. Brammer, Controllability in linear autonomous systems with positive controllers,SIAM J. Control,10 (1972), 339?353.","journal-title":"SIAM J. Control"},{"key":"CR6","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/0024-3795(87)90076-0","volume":"94","author":"P. G. Coxon","year":"1987","unstructured":"P. G. Coxon and H. Shapiro, Positive input reachability and controllability of positive systems,Linear Algebra Appl.,94 (1987), 35?53.","journal-title":"Linear Algebra Appl."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"942","DOI":"10.1109\/TAC.1977.1101648","volume":"22","author":"M. E. Evans","year":"1977","unstructured":"M. E. Evans and D. N. P. Murthy, Controllability of discrete-time systems with positive controls,IEEE Trans. Automat. Control,22 (1977), 942?945.","journal-title":"IEEE Trans. Automat. Control"},{"key":"CR8","doi-asserted-by":"crossref","first-page":"2523","DOI":"10.1080\/00207178908953513","volume":"50","author":"M. P. Fanti","year":"1989","unstructured":"M. P. Fanti, B. Maione, and B. Turchiano, Controllabilty of linear single-input positive discrete-time systems,Internat. J. Control,50 (1989), 2523?2542.","journal-title":"Internat. J. Control"},{"key":"CR9","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1016\/0167-6911(96)00033-3","volume":"28","author":"L. Farina","year":"1996","unstructured":"L. Farina, On the existence of a positive realization,Systems Control Lett.,28 (1996), 219?226.","journal-title":"Systems Control Lett."},{"key":"CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0167-6911(95)90886-3","volume":"26","author":"L. Farina","year":"1995","unstructured":"L. Farina and L. Benvenuti, Positive realizations of linear systems,Systems Control Lett.,26 (1995), 1?9.","journal-title":"Systems Control Lett."},{"key":"CR11","volume-title":"Principles of Drug Action: the Basis of Pharmacology","author":"A. Goldstein","year":"1974","unstructured":"A. Goldstein, W. Aronow, and S. Kalman,Principles of Drug Action: the Basis of Pharmacology, 2nd edn., Wiley, New York, 1974.","edition":"2nd edn."},{"key":"CR12","doi-asserted-by":"crossref","unstructured":"J. M. van den Hof and J. H. van Schuppen, Realization of positive linear systems using polyhedral cones,Proceedings of the 33rd Conference on Decision and Control, Lake Buena Vista, FL, December 1994, pp. 3889?3893.","DOI":"10.1109\/CDC.1994.411773"},{"key":"CR13","volume-title":"Introduction to Dynamic systems","author":"D. G. Luenberger","year":"1979","unstructured":"D. G. Luenberger, Positive linear systems,Introduction to Dynamic systems, Wiley, New York, 1979, Chapter 6."},{"key":"CR14","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1080\/00207728608926782","volume":"17","author":"D. N. P. Murthy","year":"1986","unstructured":"D. N. P. Murthy, Controllability of linear positive dynamic systems,Internat. J. Systems Sci.,17 (1986), 49?54.","journal-title":"Internat. J. Systems Sci."},{"key":"CR15","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1137\/0322013","volume":"22","author":"Y. Ohta","year":"1984","unstructured":"Y. Ohta, H. Maeda, and S. Kodama, Reachability, observability and realizability of continuous-time positive systems,SIAM J. Control Optim.,22 (1984), 171?180.","journal-title":"SIAM J. Control Optim."},{"key":"CR16","unstructured":"G. Picci, J. M. van den Hof, and J. H. van Schuppen, Positive linear algebra for stochastic realization of finite-valued processes,Proceedings of the International Symposium MTNS-93, pp. 425?428."},{"key":"CR17","unstructured":"S. Rinaldi and L. Farina,Positive Linear Systems: Theory and Applications, Citta' Studi, Milan, 1995 (in Italian)."},{"key":"CR18","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/0024-3795(92)90344-A","volume":"167","author":"M. Roitman","year":"1992","unstructured":"M. Roitman and Z. Rubinstein, On linear recursion with nonnegative coefficients,Linear Algebra Appl.,167 (1992), 151?155.","journal-title":"Linear Algebra Appl."},{"key":"CR19","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1080\/00207178908953401","volume":"50","author":"V. G. Rumchev","year":"1989","unstructured":"V. G. Rumchev and D. J. G. James, Controllability of positive linear discrete-time systems,Internat. J. Control,50 (1989), 845?857.","journal-title":"Internat. J. Control"},{"key":"CR20","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1137\/0311034","volume":"11","author":"S. H. Saperstone","year":"1973","unstructured":"S. H. Saperstone, Global controllability of linear systems with positive controls,SIAM J. Control,11 (1973), 417?423.","journal-title":"SIAM J. Control"},{"key":"CR21","first-page":"259","volume-title":"Identification and Robust Control","author":"J. H. Schuppen van","year":"1986","unstructured":"J. H. van Schuppen, Stochastic realization problems motivated by econometric modeling, in C. I. Byrnes and A. Linquist, eds.,Identification and Robust Control, Elsevier, Amsterdam, 1986, pp. 259?275."},{"key":"CR22","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1080\/00207179608921708","volume":"65","author":"M. E. Valcher","year":"1996","unstructured":"M. E. Valcher, Controllability and reachability criteria for discrete time positive systems,Internat. J. Control,65 (1996), 511?536.","journal-title":"Internat. J. Control"},{"key":"CR23","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1007\/BF02006008","volume":"5","author":"C. Wende","year":"1989","unstructured":"C. Wende and L. Darning, Nonnegative realizations of systems over nonnegative quasi-fields,Acta Math. Appl. Sinica,5 (1989), 252?261.","journal-title":"Acta Math. Appl. Sinica"},{"key":"CR24","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1080\/00207179308922991","volume":"58","author":"B. G. Zaslavsky","year":"1993","unstructured":"B. G. Zaslavsky, Null-controllability of discrete-time positive control system,Internat. J. Control,58 (1993), 65?78.","journal-title":"Internat. J. Control"}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211552.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01211552\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211552","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T09:45:09Z","timestamp":1556790309000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01211552"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,12]]},"references-count":24,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1997,12]]}},"alternative-id":["BF01211552"],"URL":"https:\/\/doi.org\/10.1007\/bf01211552","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,12]]}}}