{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T01:32:50Z","timestamp":1742952770702,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783662438794"},{"type":"electronic","value":"9783662438800"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-662-43880-0_16","type":"book-chapter","created":{"date-parts":[[2014,6,25]],"date-time":"2014-06-25T09:42:01Z","timestamp":1403689321000},"page":"152-158","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Invariance Property in Approaching Problem on a Finite Time Interval"],"prefix":"10.1007","author":[{"given":"Vladimir","family":"Ushakov","sequence":"first","affiliation":[]},{"given":"Alexander","family":"Matviychuk","sequence":"additional","affiliation":[]},{"given":"Sergey","family":"Brykalov","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,6,26]]},"reference":[{"key":"16_CR1","unstructured":"Krasovskii, N.N.: Control of Dynamical System, 520 p. Nauka, Moscow (1985)"},{"key":"16_CR2","unstructured":"Krasovskii, N.N.: The basic game problem of approach. Target absorption. Extremal strategy. Lectures on control theory. 4 Uralstate university, 96 p. Sverdlovsk (1970)"},{"key":"16_CR3","unstructured":"Krasovskii, N.N., Subbotin, A.I.: Positional Differential Games, 456 p. Nauka, Moscow (1974)"},{"issue":"4","key":"16_CR4","first-page":"738","volume":"156","author":"LS Pontryagin","year":"1964","unstructured":"Pontryagin, L.S.: On linear differential games. I. Dokl. Acad. Nauk USSR 156(4), 738\u2013741 (1964)","journal-title":"I. Dokl. Acad. Nauk USSR"},{"issue":"1","key":"16_CR5","first-page":"134","volume":"19","author":"VN Ushakov","year":"2013","unstructured":"Ushakov, V.N., Matviychuk, A.R., Ushakov, A.V., Parshikov, G.V.: Invariance of sets in approach problem solution construction. Proc. IMM Ur. Br. RAS 19(1), 134\u2013145 (2013)","journal-title":"Proc. IMM Ur. Br. RAS"},{"issue":"2","key":"16_CR6","first-page":"179","volume":"62","author":"KhG Guseinov","year":"1998","unstructured":"Guseinov, KhG, Moiseev, A.N., Ushakov, V.N.: On control systems attainability sets approximation. Prikl. Math. Mech. 62(2), 179\u2013187 (1998)","journal-title":"Prikl. Math. Mech."},{"key":"16_CR7","first-page":"23","volume":"4","author":"VN Ushakov","year":"2011","unstructured":"Ushakov, V.N., Matviychuk, A.R., Ushakov, A.V.: Approximation of attainability sets and integral funnels. Vestn. Udm. Univ. (Math., Mech., Comp. Sci.) 4, 23\u201339 (2011)","journal-title":"Vestn. Udm. Univ. (Math., Mech., Comp. Sci.)"},{"key":"16_CR8","first-page":"31","volume":"4","author":"MS Nikolskii","year":"1987","unstructured":"Nikolskii, M.S.: On differential inclusion attainability set approximation. Vestn. Mos. Univ. (Ser. 15. Vychisl. Mat. Kibernet) 4, 31\u201334 (1987)","journal-title":"Vestn. Mos. Univ. (Ser. 15. Vychisl. Mat. Kibernet)"},{"key":"16_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0277-6","volume-title":"Ellipsoidal Calculus for Estimation and Control","author":"AB Kurzhanski","year":"1997","unstructured":"Kurzhanski, A.B., Valyi, I.: Ellipsoidal Calculus for Estimation and Control. Birkhauser, Boston (1997)"},{"issue":"1\u20132","key":"16_CR10","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1023\/A:1008774508738","volume":"8","author":"P Cardaliaguet","year":"2000","unstructured":"Cardaliaguet, P., Quincampoix, M., Saint-Pierre, P.: Numerical schemes for discontinuous value functions of optimal control. Set-valued Anal. 8(1\u20132), 111\u2013126 (2000)","journal-title":"Set-valued Anal."},{"key":"16_CR11","unstructured":"Falcone, M., Saint-Pierre, P.: Algorithms for constrained optimal control problem: a link between viability and dynamic programming. University of Rome (1995) (Preprint)"},{"key":"16_CR12","volume-title":"Dynamical System Phase State Estimation: Method of Ellipsoids","author":"FL Chernousko","year":"1988","unstructured":"Chernousko, F.L.: Dynamical System Phase State Estimation: Method of Ellipsoids. Nauka, Moscow (1988)"},{"issue":"4","key":"16_CR13","first-page":"82","volume":"15","author":"MI Gusev","year":"2009","unstructured":"Gusev, M.I.: Estimation of attainability sets of multidimensional control systems with nonlinear crossing connections. Proc. IMM Ur. Br. RAS 15(4), 82\u201394 (2009)","journal-title":"Proc. IMM Ur. Br. RAS"},{"issue":"1","key":"16_CR14","first-page":"223","volume":"16","author":"TF Filippova","year":"2010","unstructured":"Filippova, T.F.: Differential equations for ellipsoidal estimates of attainability sets of nonlinear dynamical controlled system. Proc. IMM Ur. Br. RAS 16(1), 223\u2013232 (2010)","journal-title":"Proc. IMM Ur. Br. RAS"},{"key":"16_CR15","first-page":"149","volume":"54","author":"F Lempio","year":"1998","unstructured":"Lempio, F., Veliov, M.V.: Discrete approximations of differential inclusions. Bayereuther Math. Schr. 54, 149\u2013232 (1998)","journal-title":"Bayereuther Math. Schr."}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-43880-0_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,14]],"date-time":"2023-02-14T18:19:23Z","timestamp":1676398763000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-662-43880-0_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783662438794","9783662438800"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-43880-0_16","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2014]]},"assertion":[{"value":"26 June 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}