Narmanov, Abdigappar Topology of singular foliations. (English) Zbl 07800770 J. Math. Sci., New York 277, No. 3, 439-445 (2023). MSC: 57R30 PDFBibTeX XMLCite \textit{A. Narmanov}, J. Math. Sci., New York 277, No. 3, 439--445 (2023; Zbl 07800770) Full Text: DOI
Narmanov, A. Ya. Geometry of orbits of vector fields and singular foliations. (English. Russian original) Zbl 1503.53051 J. Math. Sci., New York 265, No. 1, 52-68 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 1, 54-71 (2019). MSC: 53C12 57R25 PDFBibTeX XMLCite \textit{A. Ya. Narmanov}, J. Math. Sci., New York 265, No. 1, 52--68 (2022; Zbl 1503.53051); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 1, 54--71 (2019) Full Text: DOI
Kordyukov, Yu. A. Laplacians on smooth distributions as \(C^*\)-algebra multipliers. (English. Russian original) Zbl 1465.58011 J. Math. Sci., New York 252, No. 2, 190-212 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 67-90 (2018). Reviewer: Alexander Engel (Münster) MSC: 58J60 53C17 46L08 58B34 PDFBibTeX XMLCite \textit{Yu. A. Kordyukov}, J. Math. Sci., New York 252, No. 2, 190--212 (2021; Zbl 1465.58011); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 67--90 (2018) Full Text: DOI arXiv
Narmanov, A. Ya.; Saitova, S. S. On geometry of vector fields. (English. Russian original) Zbl 1452.37020 J. Math. Sci., New York 245, No. 3, 375-381 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 144, 81-87 (2018). Reviewer: Themistocles M. Rassias (Athína) MSC: 37C10 37C20 57R25 57R27 PDFBibTeX XMLCite \textit{A. Ya. Narmanov} and \textit{S. S. Saitova}, J. Math. Sci., New York 245, No. 3, 375--381 (2020; Zbl 1452.37020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 144, 81--87 (2018) Full Text: DOI
Berestovskii, V. N.; Gorbatsevich, V. V. Homogeneous spaces with inner metric and with integrable invariant distributions. (English. Russian original) Zbl 1320.53056 J. Math. Sci., New York 207, No. 3, 410-466 (2015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 126 (2013). MSC: 53C30 22F30 22E25 PDFBibTeX XMLCite \textit{V. N. Berestovskii} and \textit{V. V. Gorbatsevich}, J. Math. Sci., New York 207, No. 3, 410--466 (2015; Zbl 1320.53056); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 126 (2013) Full Text: DOI
Komarov, M. A. Structure of the local controllability set for a family of \(2\)-systems on a plane near the zero indicatrix point. (English. Russian original) Zbl 1304.93029 J. Math. Sci., New York 199, No. 6, 667-686 (2014); translation from Sovrem. Mat., Fundam. Napravl. 42, 134-151 (2011). MSC: 93B05 93C20 PDFBibTeX XMLCite \textit{M. A. Komarov}, J. Math. Sci., New York 199, No. 6, 667--686 (2014; Zbl 1304.93029); translation from Sovrem. Mat., Fundam. Napravl. 42, 134--151 (2011) Full Text: DOI
Korobov, V. I.; Pavlichkov, S. S.; Schmidt, W. H. Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method. (English) Zbl 1267.93155 J. Math. Sci., New York 189, No. 5, 795-804 (2013) and in Neliniĭni Kolyvannya 15, No. 2, 205-214 (2012). MSC: 93D21 93B50 93B05 93C35 PDFBibTeX XMLCite \textit{V. I. Korobov} et al., J. Math. Sci., New York 189, No. 5, 795--804 (2013; Zbl 1267.93155) Full Text: DOI Link
Jouan, P. Finite-time and exact-time controllability on compact manifolds. (English. Russian original) Zbl 1290.93023 J. Math. Sci., New York 177, No. 3, 402-410 (2011); translation from Sovrem. Mat. Prilozh. 70 (2011). MSC: 93B05 PDFBibTeX XMLCite \textit{P. Jouan}, J. Math. Sci., New York 177, No. 3, 402--410 (2011; Zbl 1290.93023); translation from Sovrem. Mat. Prilozh. 70 (2011) Full Text: DOI arXiv
Sachkov, Yu. L. Control theory on Lie groups. (English. Russian original) Zbl 1211.93038 J. Math. Sci., New York 156, No. 3, 381-439 (2009); translation from Sovrem. Mat. Fundam. Napravl. 27, 5-59 (2007). MSC: 93B25 49K15 70E18 93B05 PDFBibTeX XMLCite \textit{Yu. L. Sachkov}, J. Math. Sci., New York 156, No. 3, 381--439 (2009; Zbl 1211.93038); translation from Sovrem. Mat. Fundam. Napravl. 27, 5--59 (2007) Full Text: DOI
Vakulenko, S.; Grigoriev, D. Instability, complexity, and evolution. (English. Russian original) Zbl 1211.37121 J. Math. Sci., New York 158, No. 6, 787-808 (2009); translation from Zap. Nauchn. Semin. POMI 360, 31-69 (2008). Reviewer: Henri Schurz (Carbondale) MSC: 37N25 68Q30 60H10 60H15 60H30 93E15 PDFBibTeX XMLCite \textit{S. Vakulenko} and \textit{D. Grigoriev}, J. Math. Sci., New York 158, No. 6, 787--808 (2009; Zbl 1211.37121); translation from Zap. Nauchn. Semin. POMI 360, 31--69 (2008) Full Text: DOI
Merker, Joël Lie symmetries and CR geometry. (English. Russian original) Zbl 1470.32110 J. Math. Sci., New York 154, No. 6, 817-922 (2008); translation from Sovrem. Mat. Prilozh. 47 (2007). MSC: 32V99 58A20 PDFBibTeX XMLCite \textit{J. Merker}, J. Math. Sci., New York 154, No. 6, 817--922 (2008; Zbl 1470.32110); translation from Sovrem. Mat. Prilozh. 47 (2007) Full Text: DOI Link
Giunashvili, Z. Geometric methods for construction of quantum gates. (English. Russian original) Zbl 1441.81060 J. Math. Sci., New York 153, No. 2, 120-158 (2008); translation from Sovrem. Mat. Prilozh. 44, 71-112 (2007). MSC: 81P68 93C83 17B63 53D17 PDFBibTeX XMLCite \textit{Z. Giunashvili}, J. Math. Sci., New York 153, No. 2, 120--158 (2008; Zbl 1441.81060); translation from Sovrem. Mat. Prilozh. 44, 71--112 (2007) Full Text: DOI
Giunashvili, Z. Methods of geometric control theory for quantum computations. (English. Russian original) Zbl 1144.81011 J. Math. Sci., New York 141, No. 2, 1113-1133 (2007); translation from Sovrem. Mat. Prilozh. 27, 25-45 (2005). MSC: 81P68 93C83 PDFBibTeX XMLCite \textit{Z. Giunashvili}, J. Math. Sci., New York 141, No. 2, 1113--1133 (2007; Zbl 1144.81011); translation from Sovrem. Mat. Prilozh. 27, 25--45 (2005) Full Text: DOI arXiv
Davydov, A. A.; Basto-Gonçalves, J. Local controllability of generic dynamic inequalities. (English) Zbl 1244.93024 J. Math. Sci., New York 135, No. 4, 3145-3167 (2006); translation from Sovrem. Mat. Prilozh. 21, 56-78 (2004). MSC: 93B05 37N35 93B03 93C30 PDFBibTeX XMLCite \textit{A. A. Davydov} and \textit{J. Basto-Gonçalves}, J. Math. Sci., New York 135, No. 4, 3145--3167 (2006; Zbl 1244.93024); translation from Sovrem. Mat. Prilozh. 21, 56--78 (2004) Full Text: DOI
Boscain, U.; Nikolaev, I.; Piccoli, B. Classification of stable time-optimal controls on 2-manifolds. (English) Zbl 1244.49031 J. Math. Sci., New York 135, No. 4, 3109-3124 (2006); translation from Sovrem. Mat. Prilozh. 21, 19-35 (2004). MSC: 49K10 57R30 93B99 PDFBibTeX XMLCite \textit{U. Boscain} et al., J. Math. Sci., New York 135, No. 4, 3109--3124 (2006; Zbl 1244.49031); translation from Sovrem. Mat. Prilozh. 21, 19--35 (2004) Full Text: DOI
Mormul, P. Kumpera-Ruiz algebras in Goursat flags are optimal in small lengths. (English) Zbl 1076.93013 J. Math. Sci., New York 126, No. 6, 1614-1629 (2005). Reviewer: Constantin Vârsan (Bucureşti) MSC: 93B29 93B10 58A30 PDFBibTeX XMLCite \textit{P. Mormul}, J. Math. Sci., New York 126, No. 6, 1614--1629 (2005; Zbl 1076.93013) Full Text: DOI
Sigalotti, M. Regularity properties of optimal trajectories of single-input control systems in dimension three. (English. Russian original) Zbl 1138.49303 J. Math. Sci., New York 126, No. 6, 1561-1573 (2005); translation from Sovrem. Mat. Prilozh. 9, 68-80 (2003). MSC: 49N60 49K15 49K30 PDFBibTeX XMLCite \textit{M. Sigalotti}, J. Math. Sci., New York 126, No. 6, 1561--1573 (2005; Zbl 1138.49303); translation from Sovrem. Mat. Prilozh. 9, 68--80 (2003) Full Text: DOI
Vakhrameev, S. A. Shift formula and its applications to certain smooth nonlinear systems. (English) Zbl 1187.49011 J. Math. Sci., New York 125, No. 4, 533-555 (2005); translation from Sovrem. Mat. Prilozh. 4, 117-139 (2003). MSC: 49K10 93C10 PDFBibTeX XMLCite \textit{S. A. Vakhrameev}, J. Math. Sci., New York 125, No. 4, 533--555 (2005; Zbl 1187.49011); translation from Sovrem. Mat. Prilozh. 4, 117--139 (2003) Full Text: DOI
Sachkov, Yu. L. Controllability of invariant systems on Lie groups and homogeneous spaces. (English) Zbl 1073.93511 J. Math. Sci., New York 100, No. 4, 2355-2427 (2000). MSC: 93B05 22E15 93C10 PDFBibTeX XMLCite \textit{Yu. L. Sachkov}, J. Math. Sci., New York 100, No. 4, 2355--2427 (2000; Zbl 1073.93511) Full Text: DOI
Mordukhovich, B. S. Optimal control of difference, differential, and differential-difference inclusions. (English. Russian original) Zbl 0966.49018 J. Math. Sci., New York 100, No. 6, 2613-2632 (2000); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 61, 33-65 (1999). Reviewer: Ernst G.Al’brekht (Ekaterinburg) MSC: 49K24 49M25 PDFBibTeX XMLCite \textit{B. S. Mordukhovich}, J. Math. Sci., New York 100, No. 6, 2613--2632 (1999; Zbl 0966.49018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 61, 33--65 (1999) Full Text: DOI
Tretiak, A. I. Higher-order local approximations of smooth control systems and pointwise higher-order optimality conditions. (English) Zbl 0922.49010 J. Math. Sci., New York 90, No. 3, 2150-2191 (1998). Reviewer: Gianna Stefani (Firenze) MSC: 49K15 93B05 93B27 PDFBibTeX XMLCite \textit{A. I. Tretiak}, J. Math. Sci., New York 90, No. 3, 2150--2191 (1998; Zbl 0922.49010) Full Text: DOI
Elkin, V. I.; Pavlovskij, Yu. N. Decomposition of models of control processes. (English) Zbl 0922.93009 J. Math. Sci., New York 88, No. 5, 723-761 (1998). Reviewer: Miroslav Lovrić (Hamilton) MSC: 93B12 93C10 93-02 93B29 PDFBibTeX XMLCite \textit{V. I. Elkin} and \textit{Yu. N. Pavlovskij}, J. Math. Sci., New York 88, No. 5, 723--761 (1998; Zbl 0922.93009) Full Text: DOI
Elkin, V. I. Affine control systems: Their equivalence, classification, quotient systems, and subsystems. (English) Zbl 0953.93020 J. Math. Sci., New York 88, No. 5, 675-722 (1998). Reviewer: Arkadij V.Kryazhimskij (Ekaterinburg) MSC: 93B29 93B17 93C10 93B10 PDFBibTeX XMLCite \textit{V. I. Elkin}, J. Math. Sci., New York 88, No. 5, 675--722 (1998; Zbl 0953.93020) Full Text: DOI
Vakhrameev, S. A. A bang-bang theorem with a finite number of switchings for nonlinear smooth control systems. (English) Zbl 0926.49013 J. Math. Sci., New York 85, No. 3, 2002-2016 (1997). Reviewer: M.I.Krastanov (Sofia) MSC: 49K15 49K30 PDFBibTeX XMLCite \textit{S. A. Vakhrameev}, J. Math. Sci., New York 85, No. 3, 2002--2016 (1997; Zbl 0926.49013) Full Text: DOI
Tretiyak, A. I. Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach. (English) Zbl 1078.93511 J. Math. Sci., New York 85, No. 3, 1899-2001 (1997). MSC: 93B05 49K15 93B29 93C10 PDFBibTeX XMLCite \textit{A. I. Tretiyak}, J. Math. Sci., New York 85, No. 3, 1899--2001 (1997; Zbl 1078.93511) Full Text: DOI
Fliess, M.; Lévine, J.; Martin, P.; Rouchon, P. On a new differential geometric setting in nonlinear control. (English) Zbl 0885.93014 J. Math. Sci., New York 83, No. 4, 524-530 (1997). Reviewer: P.Kraut (Egmating) MSC: 93B29 93C10 PDFBibTeX XMLCite \textit{M. Fliess} et al., J. Math. Sci., New York 83, No. 4, 524--530 (1997; Zbl 0885.93014)
Bellaïche, André The tangent space in sub-Riemannian geometry. (English) Zbl 0884.53027 J. Math. Sci., New York 83, No. 4, 461-476 (1997). Reviewer: C.Bär (Freiburg) MSC: 53C15 PDFBibTeX XMLCite \textit{A. Bellaïche}, J. Math. Sci., New York 83, No. 4, 461--476 (1997; Zbl 0884.53027)
Tret’yak, A. I. Local approximations of high order for control systems. (English) Zbl 1035.93502 J. Math. Sci., New York 79, No. 2, 871-932 (1996). Reviewer: M. Krastanov (MR 97d:93010) MSC: 93B05 93B03 PDFBibTeX XMLCite \textit{A. I. Tret'yak}, J. Math. Sci., New York 79, No. 2, 871--932 (1996; Zbl 1035.93502) Full Text: DOI
Vakhrameev, S. A. On some properties of the path spaces for smooth control systems of constant rank. (English) Zbl 0852.58024 J. Math. Sci., New York 78, No. 5, 612-625 (1996). Reviewer: Th.M.Rassias (Athens) MSC: 58E25 58E05 49J15 PDFBibTeX XMLCite \textit{S. A. Vakhrameev}, J. Math. Sci., New York 78, No. 5, 612--625 (1996; Zbl 0852.58024) Full Text: DOI
Starkov, K. E. Observability of smooth control systems. (English) Zbl 0846.93017 J. Math. Sci., New York 78, No. 4, 433-496 (1996). Reviewer: C.Vârsan (Bucureşti) MSC: 93B29 93B07 93-02 PDFBibTeX XMLCite \textit{K. E. Starkov}, J. Math. Sci., New York 78, No. 4, 433--496 (1996; Zbl 0846.93017) Full Text: DOI
Vakhrameev, S. A. Geometrical and topological methods in optimal control theory. (English) Zbl 0846.93016 J. Math. Sci., New York 76, No. 5, 2555-2719 (1995). Reviewer: S.Mirica (Bucureşti) MSC: 93B29 93-02 49K15 PDFBibTeX XMLCite \textit{S. A. Vakhrameev}, J. Math. Sci., New York 76, No. 5, 2555--2719 (1995; Zbl 0846.93016) Full Text: DOI
Tretiyak, A. I. Local high order approximations of control systems and some of their applications. (English) Zbl 0851.93021 J. Math. Sci., New York 74, No. 2, 942-960 (1995). Reviewer: C.Vârsan (Bucureşti) MSC: 93B29 93C10 93B05 93B03 PDFBibTeX XMLCite \textit{A. I. Tretiyak}, J. Math. Sci., New York 74, No. 2, 942--960 (1995; Zbl 0851.93021) Full Text: DOI