Vladimirov, Igor G.; Petersen, Ian R. Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action. (English) Zbl 1513.81076 Math. Control Signals Syst. 34, No. 3, 607-646 (2022). MSC: 81Q93 93E11 81P16 65K10 49J40 49M05 93B25 70G65 17B45 81P45 PDFBibTeX XMLCite \textit{I. G. Vladimirov} and \textit{I. R. Petersen}, Math. Control Signals Syst. 34, No. 3, 607--646 (2022; Zbl 1513.81076) Full Text: DOI arXiv
Le Donne, Enrico; Moisala, Terhi Semigenerated Carnot algebras and applications to sub-Riemannian perimeter. (English) Zbl 07428895 Math. Z. 299, No. 3-4, 2257-2285 (2021). Reviewer: Scott Zimmerman (Marion) MSC: 22E15 53C17 22A15 22E25 28A75 49Q15 PDFBibTeX XMLCite \textit{E. Le Donne} and \textit{T. Moisala}, Math. Z. 299, No. 3--4, 2257--2285 (2021; Zbl 07428895) Full Text: DOI arXiv
Rotker, Keren; Ben Bashat, Dafna; Bronstein, Alex M. Overparameterized models for vector fields. (English) Zbl 07292229 SIAM J. Imaging Sci. 13, No. 3, 1386-1414 (2020). MSC: 47N10 35A15 49N45 68U10 17B66 37C10 46N10 PDFBibTeX XMLCite \textit{K. Rotker} et al., SIAM J. Imaging Sci. 13, No. 3, 1386--1414 (2020; Zbl 07292229) Full Text: DOI
Peyghan, Esmaeil; Popescu, Liviu Study on geometric structures on Lie algebroids with optimal control applications. (English) Zbl 1441.17021 J. Nonlinear Math. Phys. 27, No. 4, 550-580 (2020). MSC: 17B66 34A26 53C05 49Q99 PDFBibTeX XMLCite \textit{E. Peyghan} and \textit{L. Popescu}, J. Nonlinear Math. Phys. 27, No. 4, 550--580 (2020; Zbl 1441.17021) Full Text: DOI
Franchi, Bruno; Montefalcone, Francescopaolo; Serra, Elena Gaffney-Friedrichs inequality for differential forms on Heisenberg groups. (English) Zbl 1496.49022 Rev. Mat. Iberoam. 35, No. 3, 643-692 (2019). MSC: 49Q15 46E35 22E60 PDFBibTeX XMLCite \textit{B. Franchi} et al., Rev. Mat. Iberoam. 35, No. 3, 643--692 (2019; Zbl 1496.49022) Full Text: DOI
Marí Beffa, Gloria; Mansfield, Elizabeth L. Discrete moving frames on lattice varieties and lattice-based multispaces. (English) Zbl 1390.14101 Found. Comput. Math. 18, No. 1, 181-247 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 17B80 49M25 53A55 53C99 58A40 58A15 PDFBibTeX XMLCite \textit{G. Marí Beffa} and \textit{E. L. Mansfield}, Found. Comput. Math. 18, No. 1, 181--247 (2018; Zbl 1390.14101) Full Text: DOI
Biggs, Rory; Remsing, Claudiu C. Invariant control systems on Lie groups: a short survey. (English) Zbl 1391.93002 Extr. Math. 32, No. 2, 213-238 (2017). MSC: 93-02 93B27 22E60 49J15 53C17 PDFBibTeX XMLCite \textit{R. Biggs} and \textit{C. C. Remsing}, Extr. Math. 32, No. 2, 213--238 (2017; Zbl 1391.93002)
Duval, Guillaume; Maciejewski, Andrzej; Respondek, Witold Non-integrability of the optimal control problem for \(n\)-level quantum systems. (English) Zbl 1366.81189 J. Phys. A, Math. Theor. 50, No. 17, Article ID 175202, 27 p. (2017). MSC: 81Q93 49J15 22E70 81V80 81R12 34M50 PDFBibTeX XMLCite \textit{G. Duval} et al., J. Phys. A, Math. Theor. 50, No. 17, Article ID 175202, 27 p. (2017; Zbl 1366.81189) Full Text: DOI
Arcozzi, Nicola; Ferrari, Fausto; Montefalcone, Francescopaolo Regularity of the distance function to smooth hypersurfaces in some two-step Carnot groups. (English) Zbl 1367.53029 Ann. Acad. Sci. Fenn., Math. 42, No. 1, 339-356 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 53C17 35R03 49Q15 46E35 22E60 PDFBibTeX XMLCite \textit{N. Arcozzi} et al., Ann. Acad. Sci. Fenn., Math. 42, No. 1, 339--356 (2017; Zbl 1367.53029) Full Text: DOI
Montefalcone, Francescopaolo Stable \(H\)-minimal hypersurfaces. (English) Zbl 1316.49050 J. Geom. Anal. 25, No. 2, 820-870 (2015). MSC: 49Q05 49Q15 53A10 53C42 22E60 46E35 PDFBibTeX XMLCite \textit{F. Montefalcone}, J. Geom. Anal. 25, No. 2, 820--870 (2015; Zbl 1316.49050) Full Text: DOI arXiv
Adams, Ross M.; Biggs, Rory; Remsing, Claudiu C. Two-input control systems on the Euclidean group SE(2). (English) Zbl 1283.49003 ESAIM, Control Optim. Calc. Var. 19, No. 4, 947-975 (2013). MSC: 49J15 93D05 22E60 53D17 PDFBibTeX XMLCite \textit{R. M. Adams} et al., ESAIM, Control Optim. Calc. Var. 19, No. 4, 947--975 (2013; Zbl 1283.49003) Full Text: DOI
Lakshminarayanan, Vasudevan (ed.); Calvo, Maria L. (ed.); Alieva, Tatiana (ed.) Mathematical optics. Classical, quantum, and computational methods. (English) Zbl 1475.78002 Boca Raton, FL: CRC Press (ISBN 978-1-4398-6960-4/hbk; 978-1-315-21696-6/ebook). xix, 609 p. (2013). MSC: 78-06 78-04 00B15 78Axx 78Mxx 81V80 81P68 68U10 49L20 17B81 35Q60 65Z05 68W30 PDFBibTeX XMLCite \textit{V. Lakshminarayanan} (ed.) et al., Mathematical optics. Classical, quantum, and computational methods. Boca Raton, FL: CRC Press (2013; Zbl 1475.78002) Full Text: DOI
Popescu, Liviu The geometry of Lie algebroids and its applications to optimal control. arXiv:1302.5212 Preprint, arXiv:1302.5212 [math.DG] (2013). MSC: 17B66 53C05 70S05 49K99 BibTeX Cite \textit{L. Popescu}, ``The geometry of Lie algebroids and its applications to optimal control'', Preprint, arXiv:1302.5212 [math.DG] (2013) Full Text: arXiv OA License
Adams, Ross M.; Biggs, Rory; Remsing, Claudiu C. Single-input control systems on the Euclidean group SE(2). (English) Zbl 1389.49011 Eur. J. Pure Appl. Math. 5, No. 1, 1-15 (2012). MSC: 49K15 93D05 22E60 53D17 PDFBibTeX XMLCite \textit{R. M. Adams} et al., Eur. J. Pure Appl. Math. 5, No. 1, 1--15 (2012; Zbl 1389.49011) Full Text: Link
Burrington, Benjamin A. General Leznov-Savelev solutions for Pohlmeyer reduced AdS\({}_{5}\) minimal surfaces. (English) Zbl 1301.81190 J. High Energy Phys. 2011, No. 9, Paper No. 002, 41 p. (2011). MSC: 81T30 81T20 81T40 81R12 49Q05 22E70 PDFBibTeX XMLCite \textit{B. A. Burrington}, J. High Energy Phys. 2011, No. 9, Paper No. 002, 41 p. (2011; Zbl 1301.81190) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G. Lie conformal algebra cohomology and the variational complex. (English) Zbl 1225.49009 Commun. Math. Phys. 292, No. 3, 667-719 (2009). MSC: 49J27 17B56 17B69 PDFBibTeX XMLCite \textit{A. De Sole} and \textit{V. G. Kac}, Commun. Math. Phys. 292, No. 3, 667--719 (2009; Zbl 1225.49009) Full Text: DOI arXiv
Montefalcone, F. Isoperimetric, Sobolev and Poincaré inequalities on hypersurfaces in sub-Riemannian Carnot groups. arXiv:0910.5656 Preprint, arXiv:0910.5656 [math.AP] (2009). MSC: 49Q15 46E35 22E60 BibTeX Cite \textit{F. Montefalcone}, ``Isoperimetric, Sobolev and Poincar\'e inequalities on hypersurfaces in sub-Riemannian Carnot groups'', Preprint, arXiv:0910.5656 [math.AP] (2009) Full Text: arXiv OA License
Arcozzi, N.; Ferrari, F.; Montefalcone, F. CC-distance and metric normal of smooth hypersurfaces in sub-Riemannian Carnot groups. arXiv:0910.5648 Preprint, arXiv:0910.5648 [math.AP] (2009). MSC: 49Q15 46E35 22E60 BibTeX Cite \textit{N. Arcozzi} et al., ``CC-distance and metric normal of smooth hypersurfaces in sub-Riemannian Carnot groups'', Preprint, arXiv:0910.5648 [math.AP] (2009) Full Text: arXiv OA License
D’Alessandro, Domenico Introduction to quantum control and dynamics. (English) Zbl 1139.81001 Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-884-0/hbk; 978-1-58488-883-3/ebook). xiv, 343 p. (2008). Reviewer: Eugene Kryachko (Liège) MSC: 81-01 49-01 93-01 81P15 81P68 93B05 81V45 81V55 81V80 81P99 22E70 PDFBibTeX XMLCite \textit{D. D'Alessandro}, Introduction to quantum control and dynamics. Boca Raton, FL: Chapman \& Hall/CRC (2008; Zbl 1139.81001) Full Text: DOI
Benci, Vieri; Fortunato, Donato Solitary waves in the nolinear wave equation and in gauge theories. (English) Zbl 1122.35121 J. Fixed Point Theory Appl. 1, No. 1, 61-86 (2007). MSC: 35Q51 58E30 83C05 70S15 37K30 35Q75 83C22 49S05 PDFBibTeX XMLCite \textit{V. Benci} and \textit{D. Fortunato}, J. Fixed Point Theory Appl. 1, No. 1, 61--86 (2007; Zbl 1122.35121) Full Text: DOI
Montefalcone, Francescopaolo Hypersurfaces and variational formulas in sub-Riemannian Carnot groups. (English) Zbl 1123.49035 J. Math. Pures Appl. (9) 87, No. 5, 453-494 (2007). MSC: 49Q15 46E35 22E60 PDFBibTeX XMLCite \textit{F. Montefalcone}, J. Math. Pures Appl. (9) 87, No. 5, 453--494 (2007; Zbl 1123.49035) Full Text: DOI arXiv
Montefalcone, Francescopaolo Some relations among volume, intrinsic perimeter and one-dimensional restrictions of \(BV\)functions in Carnot groups. (English) Zbl 1150.49022 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 1, 79-128 (2005). Reviewer: Andrew Bucki (Edmond) MSC: 49Q15 46E35 22E60 PDFBibTeX XMLCite \textit{F. Montefalcone}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 1, 79--128 (2005; Zbl 1150.49022) Full Text: EuDML
Kumar, Sarmishtha Lagrangian and Hamiltonian formulations of higher order Chern-Simons theories. (English) Zbl 1032.81024 Int. J. Mod. Phys. A 18, No. 9, 1613-1622 (2003). MSC: 81T10 81R12 81T13 49S05 22E70 70S15 PDFBibTeX XMLCite \textit{S. Kumar}, Int. J. Mod. Phys. A 18, No. 9, 1613--1622 (2003; Zbl 1032.81024) Full Text: DOI arXiv
Bianchini, Rosa Maria; Stefani, Gianna Graded approximations and controllability along a trajectory. (English) Zbl 0712.93005 SIAM J. Control Optimization 28, No. 4, 903-924 (1990). Reviewer: A.Kasinski MSC: 93B05 93C10 93C99 49K15 PDFBibTeX XMLCite \textit{R. M. Bianchini} and \textit{G. Stefani}, SIAM J. Control Optim. 28, No. 4, 903--924 (1990; Zbl 0712.93005) Full Text: DOI
Schättler, Heinz M.; Sussmann, Héctor J. On the regularity of optimal controls. (English) Zbl 0636.49009 Z. Angew. Math. Phys. 38, 292-301 (1987). Reviewer: P.Brunovsky MSC: 49K30 93B99 57R27 93B27 17B99 93C10 93C15 PDFBibTeX XMLCite \textit{H. M. Schättler} and \textit{H. J. Sussmann}, Z. Angew. Math. Phys. 38, 292--301 (1987; Zbl 0636.49009) Full Text: DOI
Sussmann, Héctor J. Lie brackets and real analyticity in control theory. (English) Zbl 0583.93009 Mathematical control theory, Banach Cent. Publ. 14, 515-542 (1985). Reviewer: B.Jakubczyk MSC: 93B25 17B99 93C10 49J30 57R27 93C15 93B03 93B05 PDFBibTeX XML
Kotsiopoulos, J. L.; Bell, D. J. Lie algebras and the singular control problem. (English) Zbl 0583.49012 Control theory, Proc. 4th IMA Conf., Cambridge/Engl. 1984, 237-247 (1985). MSC: 49K15 17B99 57R27 37J99 93C10 PDFBibTeX XML
Sussmann, H. J. Lie brackets, real analyticity and geometric control. (English) Zbl 0545.93002 Differential geometric control theory, Proc. Conf., Mich. Technol. Univ. 1982, Prog. Math. 27, 1-116 (1983). Reviewer: B. Jakubczyk MSC: 93-02 49K15 58A30 17B99 32B20 37N35 49L20 93B03 57R27 58C35 37J99 37C80 93B05 93B15 93B50 93C05 93C10 93C15 PDFBibTeX XML
Mitter, Sanjoy K. Lectures on nonlinear filtering and stochastic control. (English) Zbl 0516.93059 Nonlinear filtering and stochastic control, Proc. 3rd 1981 Sess. C.I.M.E., Cortona/Italy 1981, Lect. Notes Math. 972, 170-207 (1982). MSC: 93E11 17B99 93E20 60H15 62M20 49J55 PDFBibTeX XML
Morikawa, Hisasi On Poisson brackets of semi-invariants. (English) Zbl 0475.49009 Manifolds and Lie groups, Pap. in Honor of Y. Matsushima, Prog. Math. 14, 267-281 (1981). MSC: 49J20 47B40 17B05 35G10 35K25 PDFBibTeX XML
Garaev, K. G. On a corollary of the Noether theorem for the two-dimensional problem of the Mayer type. (English. Russian original) Zbl 0467.49029 J. Appl. Math. Mech. 44, 316-320 (1981); translation from Prikl. Mat. Mekh. 44, 448-453 (1980). MSC: 49Q20 47D03 76N20 80A20 17B99 PDFBibTeX XMLCite \textit{K. G. Garaev}, J. Appl. Math. Mech. 44, 316--320 (1980; Zbl 0467.49029); translation from Prikl. Mat. Mekh. 44, 448--453 (1980) Full Text: DOI
Edelen, Dominic G. B. Isovector methods for equations of balance. With programs for computer assistance in operator calculations and an exposition of practical topics of the exterior calculus. (English) Zbl 0452.58001 Monographs and Textbooks on Mechanics of Solids and Fluids. Mechanics: Analysis. 5. Alphen aan den Rijn (The Netherlands), Germantown (Maryland): Sijthoff & Noordhoff. XXI, 513 p. Dfl. 90.00; $ 45.00 (1980). MSC: 58-02 49-02 58A15 58A17 58Cxx 58E15 17B65 58A30 58J65 60J60 76B15 58-04 PDFBibTeX XML
Fokas, A. S. Lie-Bäcklund theory of separation of variables and conservation laws in classical and quantum mechanics. (English) Zbl 0435.70016 Group theoretical methods in mechanics, Proc. joint IUTAM/IMU Symp., Novosibirsk 1978, 118-129 (1978). MSC: 70H20 35F20 53C80 49L99 81R10 49S05 PDFBibTeX XML
Brockett, Roger W. Lie algebras and Lie groups in control theory. (English) Zbl 0305.93003 Geom. Methods Syst. Theory, Proc. NATO advanced Study Inst., London 1973, 43-82 (1973). MSC: 93A05 60H10 49J15 17B99 22E99 PDFBibTeX XML