Schmoderer, Timothée; Respondek, Witold Conic nonholonomic constraints on surfaces and control systems. (English) Zbl 07785827 J. Dyn. Control Syst. 29, No. 4, 1981-2022 (2023). MSC: 93B27 93C10 93A10 93B52 53B20 53B30 PDFBibTeX XMLCite \textit{T. Schmoderer} and \textit{W. Respondek}, J. Dyn. Control Syst. 29, No. 4, 1981--2022 (2023; Zbl 07785827) Full Text: DOI arXiv
Klotz, Taylor J. Geometry of cascade feedback linearizable control systems. (English) Zbl 1522.93050 Differ. Geom. Appl. 90, Article ID 102044, 37 p. (2023). MSC: 93B18 93B52 93B27 58A17 93C10 PDFBibTeX XMLCite \textit{T. J. Klotz}, Differ. Geom. Appl. 90, Article ID 102044, 37 p. (2023; Zbl 1522.93050) Full Text: DOI arXiv
Calderbank, David M. J.; Slovák, Jan; Souček, Vladimír Subriemannian metrics and the metrizability of parabolic geometries. (English) Zbl 1486.53021 J. Geom. Anal. 31, No. 2, 1671-1702 (2021). Reviewer: Ion Mihai (Bucureşti) MSC: 53B15 53C17 14M15 17B10 22E46 53C15 53C30 58A32 58J70 93C10 PDFBibTeX XMLCite \textit{D. M. J. Calderbank} et al., J. Geom. Anal. 31, No. 2, 1671--1702 (2021; Zbl 1486.53021) Full Text: DOI arXiv
Ratajczak, Joanna; Tchoń, Krzysztof Normal forms and singularities of non-holonomic robotic systems: a study of free-floating space robots. (English) Zbl 1436.93093 Syst. Control Lett. 138, Article ID 104661, 9 p. (2020). MSC: 93C85 93B52 70F25 PDFBibTeX XMLCite \textit{J. Ratajczak} and \textit{K. Tchoń}, Syst. Control Lett. 138, Article ID 104661, 9 p. (2020; Zbl 1436.93093) Full Text: DOI
Clelland, J. N.; Ivey, T. A.; Tehseen, N.; Vassiliou, P. J. Isometric embedding and Darboux integrability. (English) Zbl 1429.53019 Geom. Dedicata 203, 353-388 (2019). MSC: 53A55 58A17 58A30 93C10 PDFBibTeX XMLCite \textit{J. N. Clelland} et al., Geom. Dedicata 203, 353--388 (2019; Zbl 1429.53019) Full Text: DOI arXiv
Vassiliou, Peter J. Cascade linearization of invariant control systems. (English) Zbl 1409.53019 J. Dyn. Control Syst. 24, No. 4, 593-623 (2018). MSC: 53A55 58A17 58A30 93C10 PDFBibTeX XMLCite \textit{P. J. Vassiliou}, J. Dyn. Control Syst. 24, No. 4, 593--623 (2018; Zbl 1409.53019) Full Text: DOI
Sacchelli, Ludovic; Sigalotti, Mario On the Whitney extension property for continuously differentiable horizontal curves in sub-Riemannian manifolds. (English) Zbl 1398.53039 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 59, 34 p. (2018). Reviewer: Ana Pereira do Vale (Braga) MSC: 53C17 53C24 54C20 93B05 49Q15 PDFBibTeX XMLCite \textit{L. Sacchelli} and \textit{M. Sigalotti}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 59, 34 p. (2018; Zbl 1398.53039) Full Text: DOI arXiv
de Doná, J.; Tehseen, N.; Vassiliou, P. J. Symmetry reduction, contact geometry, and partial feedback linearization. (English) Zbl 1378.58003 SIAM J. Control Optim. 56, No. 1, 201-230 (2018). MSC: 58A30 58A17 53A55 93C10 PDFBibTeX XMLCite \textit{J. de Doná} et al., SIAM J. Control Optim. 56, No. 1, 201--230 (2018; Zbl 1378.58003) Full Text: DOI
Chetverikov, Vladimir N. Invertible linear ordinary differential operators. (English) Zbl 1489.47067 J. Geom. Phys. 113, 10-27 (2017). MSC: 47E05 34L30 93C15 PDFBibTeX XMLCite \textit{V. N. Chetverikov}, J. Geom. Phys. 113, 10--27 (2017; Zbl 1489.47067) Full Text: DOI
Bartosiewicz, Zbigniew; Kotta, Ülle; Tõnso, Maris; Wyrwas, Małgorzata Accessibility conditions of MIMO nonlinear control systems on homogeneous time scales. (English) Zbl 1352.34118 Math. Control Relat. Fields 6, No. 2, 217-250 (2016). MSC: 34N05 93B25 93C10 34H05 PDFBibTeX XMLCite \textit{Z. Bartosiewicz} et al., Math. Control Relat. Fields 6, No. 2, 217--250 (2016; Zbl 1352.34118) Full Text: DOI
Ahn, HeungJu; Han, ChongKyu Invariant submanifolds for systems of vector fields of constant rank. (English) Zbl 1379.37045 Sci. China, Math. 59, No. 7, 1417-1426 (2016). MSC: 37C10 57R27 93B05 93C10 34C45 PDFBibTeX XMLCite \textit{H. Ahn} and \textit{C. Han}, Sci. China, Math. 59, No. 7, 1417--1426 (2016; Zbl 1379.37045) Full Text: DOI
Schöberl, Markus; Schlacher, Kurt On geometric properties of triangularizations for nonlinear control systems. (English) Zbl 1403.93072 Camlibel, M. Kanat (ed.) et al., Mathematical control theory I. Nonlinear and hybrid control systems. Cham: Springer (ISBN 978-3-319-20987-6/pbk; 978-3-319-20988-3/ebook). Lecture Notes in Control and Information Sciences 461, 237-255 (2015). MSC: 93B17 93B18 93B11 93B27 93C15 93C10 93B10 93B52 PDFBibTeX XMLCite \textit{M. Schöberl} and \textit{K. Schlacher}, Lect. Notes Control Inf. Sci. 461, 237--255 (2015; Zbl 1403.93072) Full Text: DOI
Bartosiewicz, Zbigniew; Kotta, Ülle; Tõnso, Maris; Wyrwas, Małgorzata Static state feedback linearization of nonlinear control systems on homogeneous time scales. (English) Zbl 1327.93116 Math. Control Signals Syst. 27, No. 4, 523-550 (2015). MSC: 93B18 93B52 93C10 93C70 PDFBibTeX XMLCite \textit{Z. Bartosiewicz} et al., Math. Control Signals Syst. 27, No. 4, 523--550 (2015; Zbl 1327.93116) Full Text: DOI
Schöberl, Markus; Schlacher, Kurt On an implicit triangular decomposition of nonlinear control systems that are 1-flat – a constructive approach. (English) Zbl 1296.93039 Automatica 50, No. 6, 1649-1655 (2014). MSC: 93B27 93C10 93C35 93B17 93B10 PDFBibTeX XMLCite \textit{M. Schöberl} and \textit{K. Schlacher}, Automatica 50, No. 6, 1649--1655 (2014; Zbl 1296.93039) Full Text: DOI arXiv
Höffner, K.; Guay, M. Subriemannian metric induced by single-input locally accessible control-affine systems. (English) Zbl 1261.93037 Physica D 247, No. 1, 1-6 (2013). MSC: 93B27 93C10 93B52 93C95 PDFBibTeX XMLCite \textit{K. Höffner} and \textit{M. Guay}, Physica D 247, No. 1, 1--6 (2013; Zbl 1261.93037) Full Text: DOI
Lévine, Jean On necessary and sufficient conditions for differential flatness. (English) Zbl 1239.93027 Appl. Algebra Eng. Commun. Comput. 22, No. 1, 47-90 (2011). MSC: 93B25 93C10 PDFBibTeX XMLCite \textit{J. Lévine}, Appl. Algebra Eng. Commun. Comput. 22, No. 1, 47--90 (2011; Zbl 1239.93027) Full Text: DOI arXiv
Biggs, James; Holderbaum, William Planning rigid body motions using elastic curves. (English) Zbl 1202.49021 Math. Control Signals Syst. 20, No. 4, 351-367 (2008). MSC: 49K15 70Q05 34H05 93B27 PDFBibTeX XMLCite \textit{J. Biggs} and \textit{W. Holderbaum}, Math. Control Signals Syst. 20, No. 4, 351--367 (2008; Zbl 1202.49021) Full Text: DOI Link
Aranda-Bricaire, Eduardo; Moog, Claude H. Linearization of discrete-time systems by exogenous dynamic feedback. (English) Zbl 1149.93308 Automatica 44, No. 7, 1707-1717 (2008). MSC: 93B18 93C55 PDFBibTeX XMLCite \textit{E. Aranda-Bricaire} and \textit{C. H. Moog}, Automatica 44, No. 7, 1707--1717 (2008; Zbl 1149.93308) Full Text: DOI
Avanessoff, David; Pomet, Jean-Baptiste Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states. (English) Zbl 1178.93037 ESAIM, Control Optim. Calc. Var. 13, No. 2, 237-264 (2007). MSC: 93B18 93B27 34C20 PDFBibTeX XMLCite \textit{D. Avanessoff} and \textit{J.-B. Pomet}, ESAIM, Control Optim. Calc. Var. 13, No. 2, 237--264 (2007; Zbl 1178.93037) Full Text: DOI arXiv Numdam EuDML
Vassiliou, Peter J. A constructive generalised Goursat normal form. (English) Zbl 1101.58002 Differ. Geom. Appl. 24, No. 4, 332-350 (2006). MSC: 58A30 58A15 93C10 PDFBibTeX XMLCite \textit{P. J. Vassiliou}, Differ. Geom. Appl. 24, No. 4, 332--350 (2006; Zbl 1101.58002) Full Text: DOI arXiv
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
Mormul, Piotr Geometric classes of Goursat flags and the arithmetics of their encoding by small growth vectors. (English) Zbl 1122.58004 Cent. Eur. J. Math. 2, No. 5, 859-883 (2004). Reviewer: Maido Rahula (Tartu) MSC: 58A30 93B29 PDFBibTeX XMLCite \textit{P. Mormul}, Cent. Eur. J. Math. 2, No. 5, 859--883 (2004; Zbl 1122.58004) Full Text: DOI
Aranda-Bricaire, E.; Moog, C. H. Invariant codistributions and the feedforward form for discrete-time nonlinear systems. (English) Zbl 1157.93536 Syst. Control Lett. 52, No. 2, 113-122 (2004). MSC: 93E15 60H10 93D15 93D25 PDFBibTeX XMLCite \textit{E. Aranda-Bricaire} and \textit{C. H. Moog}, Syst. Control Lett. 52, No. 2, 113--122 (2004; Zbl 1157.93536) Full Text: DOI
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel Generic properties of singular trajectories. (Propriétés génériques des trajectoires singulières.) (French) Zbl 1038.58019 C. R., Math., Acad. Sci. Paris 337, No. 1, 49-52 (2003). MSC: 58E25 53C17 93C10 PDFBibTeX XMLCite \textit{Y. Chitour} et al., C. R., Math., Acad. Sci. Paris 337, No. 1, 49--52 (2003; Zbl 1038.58019) Full Text: DOI
Pothin, Richard; Moog, Claude H.; Xia, Xiaohua Disturbance decoupling of nonlinear MISO systems by static measurement feedback. (English) Zbl 1265.93185 Kybernetika 38, No. 5, 601-608 (2002). MSC: 93C73 93C10 93D15 93B11 PDFBibTeX XMLCite \textit{R. Pothin} et al., Kybernetika 38, No. 5, 601--608 (2002; Zbl 1265.93185) Full Text: Link
Trélat, Emmanuel Asymptotics of accessibility sets along an abnormal trajectory. (English) Zbl 0996.93009 ESAIM, Control Optim. Calc. Var. 6, 387-414 (2001). Reviewer: Manuel C.Guerra (Lisboa) MSC: 93B03 49K15 93B10 PDFBibTeX XMLCite \textit{E. Trélat}, ESAIM, Control Optim. Calc. Var. 6, 387--414 (2001; Zbl 0996.93009) Full Text: DOI arXiv Numdam EuDML
Auckly, David; Kapitanski, Lev; White, Warren Control of nonlinear underactuated systems. (English) Zbl 1022.70010 Commun. Pure Appl. Math. 53, No. 3, 354-369 (2000). Reviewer: Peter Kraut (Erlabrunn) MSC: 70H03 70Q05 37N35 93D15 93C10 93B29 PDFBibTeX XMLCite \textit{D. Auckly} et al., Commun. Pure Appl. Math. 53, No. 3, 354--369 (2000; Zbl 1022.70010) Full Text: DOI arXiv
Agrachev, Andrei A.; Sarychev, Andrei V. Sub-Riemannian metrics: Minimality of abnormal geodesics versus subanalyticity. (English) Zbl 0978.53065 ESAIM, Control Optim. Calc. Var. 4, 377-403 (1999). MSC: 53C17 93B29 32B20 53C22 PDFBibTeX XMLCite \textit{A. A. Agrachev} and \textit{A. V. Sarychev}, ESAIM, Control Optim. Calc. Var. 4, 377--403 (1999; Zbl 0978.53065) Full Text: DOI EuDML
Rathinam, M.; Murray, R. M. Differential flatness of two one-forms in arbitrary number of variables. (English) Zbl 0915.93015 Syst. Control Lett. 36, No. 5, 317-326 (1999). MSC: 93B29 PDFBibTeX XMLCite \textit{M. Rathinam} and \textit{R. M. Murray}, Syst. Control Lett. 36, No. 5, 317--326 (1999; Zbl 0915.93015) 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
Pomet, Jean-Baptiste On dynamic feedback linearization of four-dimensional affine control systems with two inputs. (English) Zbl 0898.93007 ESAIM, Control Optim. Calc. Var. 2, 151-230 (1997). Reviewer: P.Kraut (Egmating) MSC: 93B17 93B18 PDFBibTeX XMLCite \textit{J.-B. Pomet}, ESAIM, Control Optim. Calc. Var. 2, 151--230 (1997; Zbl 0898.93007) Full Text: DOI EuDML
Sarychev, A. V.; Nijmeijer, H. Extremal controls for chained systems. (English) Zbl 0947.49015 J. Dyn. Control Syst. 2, No. 4, 503-527 (1996). MSC: 49K15 49J15 34H05 93B27 PDFBibTeX XMLCite \textit{A. V. Sarychev} and \textit{H. Nijmeijer}, J. Dyn. Control Syst. 2, No. 4, 503--527 (1996; Zbl 0947.49015) Full Text: DOI
Martin, Philippe; Rouchon, Pierre Any (controllable) driftless system with 3 inputs and 5 states is flat. (English) Zbl 0877.93023 Syst. Control Lett. 25, No. 3, 167-173 (1995). MSC: 93B18 93B29 58A17 PDFBibTeX XMLCite \textit{P. Martin} and \textit{P. Rouchon}, Syst. Control Lett. 25, No. 3, 167--173 (1995; Zbl 0877.93023) Full Text: DOI
Tilbury, D.; Sastry, S. The multi-steering \(N\)-trailer system: A case study of Goursat normal forms and prolongations. (English) Zbl 0833.93042 Int. J. Robust Nonlinear Control 5, No. 4, 343-364 (1995). Reviewer: P.Kraut (Egmating) MSC: 93C85 93B29 PDFBibTeX XMLCite \textit{D. Tilbury} and \textit{S. Sastry}, Int. J. Robust Nonlinear Control 5, No. 4, 343--364 (1995; Zbl 0833.93042) Full Text: DOI
Crouch, P.; Silva Leite, F. The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces. (English) Zbl 0946.58018 J. Dyn. Control Syst. 1, No. 2, 177-202 (1995). MSC: 58E25 93B27 49K27 PDFBibTeX XMLCite \textit{P. Crouch} and \textit{F. Silva Leite}, J. Dyn. Control Syst. 1, No. 2, 177--202 (1995; Zbl 0946.58018) Full Text: DOI
Montgomery, Richard Singular extremals on Lie groups. (English) Zbl 0925.93132 Math. Control Signals Syst. 7, No. 3, 217-234 (1994). MSC: 93B29 49J52 49N10 53B21 58A10 37D40 53D25 PDFBibTeX XMLCite \textit{R. Montgomery}, Math. Control Signals Syst. 7, No. 3, 217--234 (1994; Zbl 0925.93132) Full Text: DOI
Murray, Richard M. Nilpotent bases for a class of nonintegrable distributions with applications to trajectory generation for nonholonomic systems. (English) Zbl 0825.93319 Math. Control Signals Syst. 7, No. 1, 58-75 (1994). MSC: 93C85 70F25 70Q05 PDFBibTeX XMLCite \textit{R. M. Murray}, Math. Control Signals Syst. 7, No. 1, 58--75 (1994; Zbl 0825.93319) Full Text: DOI
Gardner, R. B.; Shadwick, W. F. Feedback equivalence for general control systems. (English) Zbl 0709.93011 Syst. Control Lett. 15, No. 1, 15-23 (1990). MSC: 93B10 93C10 93B52 PDFBibTeX XMLCite \textit{R. B. Gardner} and \textit{W. F. Shadwick}, Syst. Control Lett. 15, No. 1, 15--23 (1990; Zbl 0709.93011) Full Text: DOI
Hermes, Henry; Lundell, Albert; Sullivan, Dennis Nilpotent bases for distributions and control systems. (English) Zbl 0507.58007 J. Differ. Equations 55, 385-400 (1984). MSC: 58A30 93C10 93B17 PDFBibTeX XMLCite \textit{H. Hermes} et al., J. Differ. Equations 55, 385--400 (1984; Zbl 0507.58007) Full Text: DOI