{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T22:25:40Z","timestamp":1676931940628},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1996,6,1]],"date-time":"1996-06-01T00:00:00Z","timestamp":833587200000},"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":[[1996,6]]},"DOI":"10.1007\/bf01211749","type":"journal-article","created":{"date-parts":[[2005,2,25]],"date-time":"2005-02-25T19:55:34Z","timestamp":1109361334000},"page":"107-122","source":"Crossref","is-referenced-by-count":5,"title":["On control of two-scale stochastic systems with linear dynamics in the fast variables"],"prefix":"10.1007","volume":"9","author":[{"given":"Yuri M","family":"Kabanov","sequence":"first","affiliation":[]},{"given":"Wolfgang J.","family":"Runggaldier","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","volume-title":"Perturbation Methods in Optimal Control","author":"A. Bensoussan","year":"1988","unstructured":"A. Bensoussan,Perturbation Methods in Optimal Control, Wiley\/Gauthier Villars, New York, 1988."},{"key":"CR2","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511526503","volume-title":"Stochastic Control of Partially Observable Systems","author":"A. Bensoussan","year":"1992","unstructured":"A. Bensoussan,Stochastic Control of Partially Observable Systems, Cambridge University Press, Cambridge, 1992."},{"key":"CR3","series-title":"Lecture Notes in Control and Information Sciences, vol. 90","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/BFb0007178","volume-title":"Singular Perturbations and Asymptotic Analysis in Control Systems","author":"A. Bensoussan","year":"1987","unstructured":"A. Bensoussan and G. L. Blankenship, Singular perturbations in stochastic control, inSingular Perturbations and Asymptotic Analysis in Control Systems (P. Kokotovi?, A. Bensoussan, and G. L. Blankenship, eds.), pp. 171?260, Lecture Notes in Control and Information Sciences, vol. 90, Springer-Verlag, Berlin, 1987."},{"key":"CR4","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/BF01447652","volume":"20","author":"T. Bielecki","year":"1989","unstructured":"T. Bielecki and L. Stettner, On ergodic control for singularly perturbed Markov processes.J. Appl. Math. Optim.,20 (1989), 131?161.","journal-title":"J. Appl. Math. Optim."},{"key":"CR5","first-page":"207","volume":"3","author":"G. B. Masi Di","year":"1993","unstructured":"G. B. Di Masi and Yu. M. Kabanov, The strong convergence of two-scale stochastic systems and singular perturbations of filtering equations,J. Math. Systems Estimation Control,3 (1993), 207?224.","journal-title":"J. Math. Systems Estimation Control"},{"key":"CR6","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0043612","volume-title":"Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems","author":"A. L. Donchev","year":"1983","unstructured":"A. L. Donchev,Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems, Springer-Verlag, New York, 1983."},{"key":"CR7","volume-title":"Stochastic Calculus and Applications","author":"R. J. Elliott","year":"1982","unstructured":"R. J. Elliott,Stochastic Calculus and Applications, Springer-Verlag, Berlin, 1982."},{"key":"CR8","doi-asserted-by":"crossref","first-page":"1228","DOI":"10.1137\/0330065","volume":"30","author":"V. Gaitsgory","year":"1992","unstructured":"V. Gaitsgory, Suboptimization of singularly perturbed control systems,SIAM J. Control Optim.,30 (1992), 1228?1249.","journal-title":"SIAM J. Control Optim."},{"key":"CR9","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1080\/17442509108833713","volume":"36","author":"Yu. M. Kabanov","year":"1991","unstructured":"Yu. M. Kabanov and S. M. Pergamenshchikov, Optimal control of singularly perturbed linear stochastic systems,Stochastics Stochastics Rep.,36 (1991), 109?135.","journal-title":"Stochastics Stochastics Rep."},{"key":"CR10","unstructured":"Yu. M. Kabanov and S. M. Pergamenshchikov, Convergence of attainability sets for controlled two-scale stochastic linear systems. Accepted inSIAM J. Control Optim."},{"key":"CR11","first-page":"413","volume-title":"New Trends in Probability and Statistics. Vol. 1","author":"Yu. M. Kabanov","year":"1990","unstructured":"Yu. M. Kabanov, S. M. Pergamenshchikov, and J. M. Stoyanov, Asymptotic expansions for singularly perturbed stochastic differential equations, inNew Trends in Probability and Statistics. Vol. 1.Proceedings of the Bakuriani Colloquium in Honour of Yu. V. Prohorov, Feb. 24?March 4, 1990 (V. V. Sazonov and T. L. Shervashidze, eds.), pp. 413?435, Mokslas\/VSP, Vilnius\/Utrecht, 1991."},{"key":"CR12","volume-title":"Singular Perturbation Methods in Control: Analysis and Design","author":"P. V. Kokotovi?","year":"1986","unstructured":"P. V. Kokotovi?, H. K. Khalil, and J. O'Reilly,Singular Perturbation Methods in Control: Analysis and Design, Academic Press, New York, 1986."},{"key":"CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4482-0","volume-title":"Weak Convergence Methods and Singularly Perturbed Stochastic Control and Filtering Problems","author":"H. J. Kushner","year":"1990","unstructured":"H. J. Kushner,Weak Convergence Methods and Singularly Perturbed Stochastic Control and Filtering Problems, Birkh\u00e4user, Boston, 1990."},{"key":"CR14","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1080\/17442508908833589","volume":"28","author":"B. Lapeyre","year":"1989","unstructured":"B. Lapeyre, A priori bound for the supremum of solutions of stable stochastic differential equations,Stochastics Stochastics Rep.,28 (1989), 145?160.","journal-title":"Stochastics Stochastics Rep."},{"key":"CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-1665-8","volume-title":"Statistics of Random Processes, I, II","author":"R. Sh. Liptser","year":"1977","unstructured":"R. Sh. Liptser and A. N. Shiryaev,Statistics of Random Processes, I, II, Springer-Verlag, Berlin, 1977, 1978."},{"key":"CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-009-2438-3","volume-title":"Theory of Martingales","author":"R. Sh. Liptser","year":"1989","unstructured":"R. Sh. Liptser and A. N. Shiryaev,Theory of Martingales, Kluwer, Dordrecht, 1989."},{"key":"CR17","doi-asserted-by":"crossref","first-page":"494","DOI":"10.1137\/0331023","volume":"31","author":"J. Picard","year":"1993","unstructured":"J. Picard, Estimation of the quadratic variation of nearly observed semimartingales, with application to filtering,SIAM J. Control Optim.,31 (1993), 494?517.","journal-title":"SIAM J. Control Optim."},{"key":"CR18","volume-title":"Asymptotic Expansions of Solutions of Singularly Perturbed Equations","author":"A. B. Vasilyeva","year":"1973","unstructured":"A. B. Vasilyeva and V. F. Butuzov,Asymptotic Expansions of Solutions of Singularly Perturbed Equations, Nauka, Moscow, 1973 (in Russian)."}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211749.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01211749\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211749","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T09:45:11Z","timestamp":1556790311000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01211749"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,6]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1996,6]]}},"alternative-id":["BF01211749"],"URL":"https:\/\/doi.org\/10.1007\/bf01211749","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,6]]}}}