{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:21:04Z","timestamp":1773656464134,"version":"3.50.1"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1992,9,1]],"date-time":"1992-09-01T00:00:00Z","timestamp":715305600000},"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":[[1992,9]]},"DOI":"10.1007\/bf01211565","type":"journal-article","created":{"date-parts":[[2005,2,25]],"date-time":"2005-02-25T19:51:14Z","timestamp":1109361074000},"page":"327-340","source":"Crossref","is-referenced-by-count":10,"title":["Time-scale decomposition of the reachable set of constrained linear systems"],"prefix":"10.1007","volume":"5","author":[{"given":"A. L.","family":"Dontchev","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","volume-title":"Applied Functional Analysis","author":"J.-P. Aubin","year":"1979","unstructured":"J.-P. Aubin,Applied Functional Analysis, Wiley-Interscience, New York, 1979."},{"key":"CR2","volume-title":"Estimation of the Phase State of Dynamical Systems","author":"F. L. Chernousko","year":"1988","unstructured":"F. L. Chernousko,Estimation of the Phase State of Dynamical Systems, Nauka, Moscow, 1988 (in Russian)."},{"key":"CR3","volume-title":"Optimization and Nonsmooth Analysis","author":"F. H. Clarke","year":"1983","unstructured":"F. H. Clarke,Optimization and Nonsmooth Analysis, Wiley-Interscience, New York, 1983."},{"key":"CR4","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.1109\/TAC.1983.1103170","volume":"28","author":"M. Coderch","year":"1983","unstructured":"M. Coderch, A. S. Willsky, S. S. Sastry, and D. A. Castanon, Hierarchical aggregation of linear systems with multiple time scales,IEEE Trans. Automat. Control,28 (1983), 1017?1029.","journal-title":"IEEE Trans. Automat. Control"},{"key":"CR5","doi-asserted-by":"crossref","unstructured":"A. L. Dontchev and F. Lempio, Difference methods for differential inclusions: A survey,SIAM Rev., to appear.","DOI":"10.1137\/1034050"},{"key":"CR6","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/0167-6911(88)90097-7","volume":"11","author":"A. L. Dontchev","year":"1988","unstructured":"A. L. Dontchev and J. I. Slavov, Lipschitz properties of the attainable set of singularly perturbed linear systems,Systems Control Lett.,11 (1988), 385?391.","journal-title":"Systems Control Lett."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"566","DOI":"10.1137\/0321034","volume":"21","author":"A. L. Dontchev","year":"1983","unstructured":"A. L. Dontchev and V. M. Veliov, Singular perturbations in Mayer's problem for linear systems,SIAM J. Control Optim.,21 (1983), 566?581.","journal-title":"SIAM J. Control Optim."},{"key":"CR8","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1007\/BF00940689","volume":"69","author":"T. J. Graettlinger","year":"1991","unstructured":"T. J. Graettlinger and B. H. Kroch, Hyperplane method for reachable state estimation for linear time-invariant systems,J. Optim. Theory Appl.,69 (1991), 555?588.","journal-title":"J. Optim. Theory Appl."},{"key":"CR9","volume-title":"Singular Perturbation Methods in Control: Analysis and Design","author":"P. V. Kokotovic","year":"1986","unstructured":"P. V. Kokotovic, H. K. Khalil, and J. O'Reilly,Singular Perturbation Methods in Control: Analysis and Design, Academic Press, London, 1986."},{"key":"CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-0374-9","volume-title":"Mathematical Control Theory: Deterministic Finite Dimensional Systems","author":"E. D. Sontag","year":"1990","unstructured":"E. D. Sontag,Mathematical Control Theory: Deterministic Finite Dimensional Systems, Springer-Verlag, New York, 1990."}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211565.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01211565\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211565","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\/BF01211565"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,9]]},"references-count":10,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1992,9]]}},"alternative-id":["BF01211565"],"URL":"https:\/\/doi.org\/10.1007\/bf01211565","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,9]]}}}