{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T17:03:45Z","timestamp":1725555825926},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642125348"},{"type":"electronic","value":"9783642125355"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-12535-5_34","type":"book-chapter","created":{"date-parts":[[2010,5,8]],"date-time":"2010-05-08T11:53:31Z","timestamp":1273319611000},"page":"294-301","source":"Crossref","is-referenced-by-count":7,"title":["High-Order Approximations to Nonholonomic Affine Control Systems"],"prefix":"10.1007","author":[{"given":"Mikhail I.","family":"Krastanov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vladimir M.","family":"Veliov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"34_CR1","first-page":"467","volume":"107","author":"A. Agrachev","year":"1978","unstructured":"Agrachev, A., Gamkrelidze, R.: The exponential representation of flows and the chronological calculus. Math. USSR Sbornik, N. Ser.\u00a0107, 467\u2013532 (1978)","journal-title":"Math. USSR Sbornik, N. Ser."},{"key":"34_CR2","unstructured":"Brockett, R.W.: Asymptotic stability and feedback stabilization. Differential geometric control theory. In: Proc. Conf., Mich. Technol. Univ., Prog. Math., vol.\u00a027, pp. 181\u2013191 (1982)"},{"issue":"4","key":"34_CR3","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1007\/BF02241223","volume":"41","author":"A. Dontchev","year":"1989","unstructured":"Dontchev, A., Farkhi, E.: Error estimates for discretized differential inclusion. Computing\u00a041(4), 349\u2013358 (1989)","journal-title":"Computing"},{"key":"34_CR4","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1007\/BF02684347","volume":"58","author":"R. Ferretti","year":"1997","unstructured":"Ferretti, R.: High-order approximations of linear control systems via Runge-Kutta schemes. Computing\u00a058, 351\u2013364 (1997)","journal-title":"Computing"},{"issue":"2","key":"34_CR5","first-page":"166","volume":"44","author":"H. Hermes","year":"1982","unstructured":"Hermes, H.: Control systems wuth decomposable Lie lgebras. Special issue dedicated to J. P. LaSalle. J. Differential Equations\u00a044(2), 166\u2013187 (1982)","journal-title":"Special issue dedicated to J. P. LaSalle. J. Differential Equations"},{"key":"34_CR6","doi-asserted-by":"crossref","unstructured":"Kawski, M., Sussmann, H.J.: Noncommutative power series and formal Lie-algebraic techniques in nonlinear control theory. In: Helmke, U., Pr\u00e4tzel-Wolters, D., Zerz, E. (eds.) Operators, Systems, and Linear Algebra, pp. 111\u2013128. Teubner (1997)","DOI":"10.1007\/978-3-663-09823-2_10"},{"key":"34_CR7","doi-asserted-by":"publisher","first-page":"669","DOI":"10.1007\/s002110000279","volume":"89","author":"L. Gr\u00fcne","year":"2001","unstructured":"Gr\u00fcne, L., Kloeden, P.E.: Higher order numerical schemes for affinely controlled nonlinear systems. Numer. Math.\u00a089, 669\u2013690 (2001)","journal-title":"Numer. Math."},{"key":"34_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-12616-5","volume-title":"Numerical Solutions to Stochastic Differential Equations","author":"E. Kloeden","year":"1992","unstructured":"Kloeden, E., Platen, E.: Numerical Solutions to Stochastic Differential Equations. Springer, Heidelberg (1992) (third revised printing, 1999)"},{"key":"34_CR9","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1016\/j.sysconle.2009.01.005","volume":"58","author":"A. Pietrus","year":"2009","unstructured":"Pietrus, A., Veliov, V.M.: On the Discretization of Switched Linear Systems. Systems & Control Letters\u00a058, 395\u2013399 (2009)","journal-title":"Systems & Control Letters"},{"key":"34_CR10","first-page":"323","volume-title":"Theory and Applications of Nonlinear Control Systems","author":"H. Sussmann","year":"1986","unstructured":"Sussmann, H.: A product expansion of the Chen series. In: Byrnes, C.I., Lindquist, A. (eds.) Theory and Applications of Nonlinear Control Systems, pp. 323\u2013335. Elsevier, North-Holland, Amsterdam (1986)"},{"key":"34_CR11","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1137\/0325011","volume":"25","author":"H. Sussmann","year":"1987","unstructured":"Sussmann, H.: A general theorem on local controllability. SIAM Journal on Control and Optimization\u00a025, 158\u2013194 (1987)","journal-title":"SIAM Journal on Control and Optimization"},{"issue":"5","key":"34_CR12","first-page":"707","volume":"68","author":"S.A. Vdovin","year":"2004","unstructured":"Vdovin, S.A., Taras\u2019ev, A.M., Ushakov, V.N.: Construction of an attainability set for the Brockett integrator. Prikl. Mat. Mekh.\u00a068(5), 707\u2013724 (2004) (in Russian); Translation in J. Appl. Math. Mech. 68(5), 631\u2013646 (2004)","journal-title":"Prikl. Mat. Mekh."},{"key":"34_CR13","unstructured":"Veliov, V.M.: Best Approximations of Control\/Uncertain Differential Systems by Means of Discrete-Time Systems. WP\u201391\u201345, International Institute for Applied Systems Analysis, Laxenburg, Austria (1991)"}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-12535-5_34.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,30]],"date-time":"2021-04-30T07:42:33Z","timestamp":1619768553000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-12535-5_34"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642125348","9783642125355"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-12535-5_34","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}