Trajectory generation for the N-trailer problem using Goursat normal form: Trajectory generation for the \(N\)-trailer problem using Goursat normal form

Συγγραφείς: Tilbury, D., Murray, R. M., Sastry, S.

Πηγή: Proceedings of 32nd IEEE Conference on Decision and Control. :971-977

Θεματικοί όροι: Transformations, Goursat canonical form, 0209 industrial biotechnology, polynomials, Canonical structure, Pfaffian system, Pfaffian systems, Exterior differential systems (Cartan theory), Automated systems (robots, etc.) in control theory, 02 engineering and technology, transformations, Differential-geometric methods in systems theory, mobile robot, mobile robots, exterior differential forms, path planning, state feedback, nonholomorphic motion planning, \(n\) trailers

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://authors.library.caltech.edu/93874/1/00325330.pdf
https://authors.library.caltech.edu/7332/1/TILieeetac95.pdf
https://zbmath.org/782220
https://doi.org/10.1109/9.384215
https://core.ac.uk/display/4875535
http://ieeexplore.ieee.org/document/384215/
https://ieeexplore.ieee.org/document/384215
http://authors.library.caltech.edu/7332/
https://ieeexplore.ieee.org/document/325330/

Covering space for monotonic homotopy of trajectories of control systems

Συγγραφείς: Colonius, Fritz, Kızıl, Eyüp, San Martin, Luiz A.B.

Πηγή: Journal of Differential Equations. 216:324-353

Θεματικοί όροι: ddc:510, Controllability, Control systems, 0209 industrial biotechnology, Homotopy theory, Homotopy of trajectories, 02 engineering and technology, 0101 mathematics, Differential-geometric methods in systems theory, 01 natural sciences, Covering spaces, Analysis

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://core.ac.uk/display/85195835
https://repositorio.usp.br/item/001662445
https://www.infona.pl/resource/bwmeta1.element.elsevier-9cc18525-b8bd-3f88-8081-854dc2e0be18
http://ui.adsabs.harvard.edu/abs/2005JDE...216..324C/abstract
http://scwww.math.uni-augsburg.de/~colonius/downloads/ColKizSan.pdf
https://www.sciencedirect.com/science/article/pii/S0022039605000872
https://avesis.yildiz.edu.tr/publication/details/266e22d3-28b3-433a-9c2b-b48e73eba8c2/oai
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/47947
https://doi.org/10.1016/j.jde.2005.02.021
https://opus.bibliothek.uni-augsburg.de/opus4/files/47947/47947.pdf
https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-479473

Versal deformations in generalized flag manifolds

Συγγραφείς: Puerta Coll, Xavier

Συνεισφορές: Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions

Πηγή: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Θεματικοί όροι: Control::93C Control systems, 0209 industrial biotechnology, observability, 14 Algebraic geometry::14M Special varieties [Classificació AMS], versal deformation, Sistemes, Local deformation theory, Artin approximation, etc, 14 Algebraic geometry::14B Local theory [Classificació AMS], Geometry, Control::93B Controllability, 93C Control systems, guided systems [Control], 02 engineering and technology, Control::93B Controllability, observability, and system structure, Grassmannians, Schubert varieties, flag manifolds, Generalized flag manifold, 01 natural sciences, Algebraic, Classificació AMS::14 Algebraic geometry::14M Special varieties, Sistemes de control, Discrete Mathematics and Combinatorics, guided systems, Control::93C Control systems, guided systems, Geometria algèbrica, Sistemes, Teoria de, Classificació AMS::93 Systems Theory, System theory, generalized flag manifold, 0101 mathematics, orbit space, Grassmann manifold, Numerical Analysis, Versal deformation, 93 Systems Theory [Classificació AMS], Algebra and Number Theory, Teoria de, Orbit space, Varietats (Matemàtica), Classificació AMS::14 Algebraic geometry::14B Local theory, Differential-geometric methods in systems theory, and system structure, 93B Controllability, observability, and system structure [Control], Geometry, Algebraic, Perturbations in control/observation systems, Geometry and Topology

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: http://hdl.handle.net/2117/926
https://hdl.handle.net/2117/926
https://www.sciencedirect.com/science/article/pii/S0024379504005257
https://upcommons.upc.edu/bitstream/handle/2117/926/040501xpuerta.pdf?sequence=1
https://core.ac.uk/display/82002138
https://www.sciencedirect.com/science/article/abs/pii/S0024379504005257
https://upcommons.upc.edu/handle/2117/926

Problems on time-varying port-controlled Hamiltonian systems: geometric structure and dissipative realization

Συγγραφείς: Yuzhen Wang, Xiaoming Hu, Daizhan Cheng

Πηγή: Automatica. 41:717-723

Θεματικοί όροι: Hamilton's equations, Time-varying PCH system, 0209 industrial biotechnology, Realizations from input-output data, Dissipative Hamiltonian realization, 02 engineering and technology, Differential-geometric methods in systems theory, Geometric structure

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2167417
https://doi.org/10.1016/j.automatica.2004.11.006
http://lsc.amss.ac.cn/~dcheng/files/J130.pdf
http://www.diva-portal.org/smash/record.jsf?pid=diva2:332631
https://www.sciencedirect.com/science/article/pii/S0005109804003218
http://www.sciencedirect.com/science/article/pii/S0005109804003218
https://dblp.uni-trier.de/db/journals/automatica/automatica41.html#WangCH05

On the One-Step-Bracket-Generating Motion Planning Problem: On the one-step-Bracket-Generating motion planning problem

Συγγραφείς: V. M. Zakalyukin, Jean-Paul Gauthier

Πηγή: Journal of Dynamical and Control Systems. 11:215-235

Θεματικοί όροι: 0209 industrial biotechnology, asymptotically optimal solutions, 02 engineering and technology, 0101 mathematics, Global differential geometry, Differential-geometric methods in systems theory, 01 natural sciences, Sub-Riemannian geometry

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://rd.springer.com/article/10.1007/s10883-005-4171-0
https://link.springer.com/10.1007%2Fs10883-005-4171-0
https://link.springer.com/article/10.1007/s10883-005-4171-0

Navier?Stokes Equations: Controllability by Means of Low Modes Forcing: Navier-Stokes equations: controllability by means of low modes forcing

Συγγραφείς: Andrey A. Agrachev, Andrey Sarychev

Πηγή: Journal of Mathematical Fluid Mechanics. 7:108-152

Θεματικοί όροι: Controllability, Control/observation systems governed by partial differential equations, PDE in connection with control problems, geometric and Lie algebraic method, \(L_2\)-approximate controllability, Navier-Stokes equations, global controllability, 0101 mathematics, Geometric control, Navier-Stokes equation, Differential-geometric methods in systems theory, 01 natural sciences

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://people.sissa.it/%7Eagrachev/agrachev_files/navier.pdf
https://zbmath.org/2161228
https://doi.org/10.1007/s00021-004-0110-1
https://people.sissa.it/~agrachev/agrachev_files/navier.pdf
https://link.springer.com/article/10.1007%2Fs00021-004-0110-1
https://ui.adsabs.harvard.edu/abs/2005JMFM....7..108A/abstract
http://control.botik.ru/wp-content/files_mf/1434657132navier.pdf
https://core.ac.uk/display/144252716
https://rd.springer.com/article/10.1007/s00021-004-0110-1
https://hdl.handle.net/2158/223619

Low-Order Controllability and Kinematic Reductions for Affine Connection Control Systems: Low-order controllability and kinematic reductions for affine connection control systems

Συγγραφείς: Andrew D. Lewis, Francesco Bullo

Πηγή: SIAM Journal on Control and Optimization. 44:885-908

Θεματικοί όροι: Controllability, 0209 industrial biotechnology, vector-valued quadratic form, Control of mechanical systems, driftless systems, 02 engineering and technology, 0101 mathematics, Differential-geometric methods in systems theory, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://motion.me.ucsb.edu/pdf/2002n-bl.pdf
https://zbmath.org/2220446
https://doi.org/10.1137/s0363012903421182
https://dialnet.unirioja.es/servlet/articulo?codigo=1296404
https://dblp.uni-trier.de/db/journals/siamco/siamco44.html#BulloL05
http://motion.me.ucsb.edu/pdf/2002n-bl.pdf
https://epubs.siam.org/doi/10.1137/S0363012903421182
https://locus.siam.org/doi/abs/10.1137/S0363012903421182
http://www.mast.queensu.ca/~andrew/papers/pdf/2002j.pdf

Mechanical control systems on Lie algebroids

Συγγραφείς: Eduardo Martínez, Jorge E. Cortes

Πηγή: IMA Journal of Mathematical Control and Information. 21:457-492

Θεματικοί όροι: Controllability, Mathematics - Differential Geometry, Lie algebroids, nonlinear controllability, 70Q05, 93B05, 93B29, Differential-geometric methods in systems theory, 01 natural sciences, Differential Geometry (math.DG), Optimization and Control (math.OC), FOS: Mathematics, 0101 mathematics, Mathematics - Optimization and Control, mechanical control systems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/math/0402437
https://zbmath.org/2152483
https://doi.org/10.1093/imamci/21.4.457

Optimal evaluation of generalized Euler angles with applications to control

Συγγραφείς: Domenico D'Alessandro

Πηγή: Automatica. 40:1997-2002

Θεματικοί όροι: 0209 industrial biotechnology, Bang-Bang control, Decompositions of Lie groups, 0103 physical sciences, Geometric methods, 02 engineering and technology, Differential-geometric methods in systems theory, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dblp.uni-trier.de/db/journals/automatica/automatica40.html#DAlessandro04
http://www.sciencedirect.com/science/article/pii/S0005109804001785
https://www.sciencedirect.com/science/article/pii/S0005109804001785

On complexity and motion planning for co-rank one sub-Riemannian metrics: On complexity and motion planning for co-rank one sub-Riemannian metrics.

Συγγραφείς: F. Monroy-Pérez, Jean-Paul Gauthier, Cutberto Romero-Meléndez

Πηγή: ESAIM: Control, Optimisation and Calculus of Variations. 10:634-655

Θεματικοί όροι: metric complexity, 0209 industrial biotechnology, motion planning problem, Existence theories for optimal control problems involving ordinary differential equations, Explicit solutions, first integrals of ordinary differential equations, asymptotic optimal synthesis, normal forms, 02 engineering and technology, 0101 mathematics, Differential-geometric methods in systems theory, 01 natural sciences, Sub-Riemannian geometry

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.esaim-cocv.org/articles/cocv/pdf/2004/04/cocv0341.pdf
https://www.esaim-cocv.org/10.1051/cocv:2004024/pdf
https://www.esaim-cocv.org/articles/cocv/abs/2004/04/cocv0341/cocv0341.html
https://hal.inria.fr/inria-00071701/document
http://www.numdam.org/item/COCV_2004__10_4_634_0/
http://archive.numdam.org/article/COCV_2004__10_4_634_0.pdf
https://hal.inria.fr/inria-00071701

Rolling of a body on a plane or a sphere: a geometric point of view

Συγγραφείς: S. Reza Moghadasi

Πηγή: Bulletin of the Australian Mathematical Society. 70:245-256

Θεματικοί όροι: Controllability, 0209 industrial biotechnology, homomorphism, Motion of a rigid body in contact with a solid surface, Control of mechanical systems, 02 engineering and technology, rolling, 0101 mathematics, Differential-geometric methods in systems theory, controllability, 01 natural sciences, rigid body, Lie group

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5B03B9421D274161CC0DAFBD3017759B/S0004972700034468a.pdf/div-class-title-rolling-of-a-body-on-a-plane-or-a-sphere-a-geometric-point-of-view-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0004972700034468

Self-propulsion of N-hinged ‘Animats’ at low reynolds number: Self-propulsion of \(N\)-hinged `animats' at low Reynolds number

Συγγραφείς: Araújo, Gerusa Alexsandra de, Koiller, Jair

Συνεισφορές: FGV

Πηγή: Qualitative Theory of Dynamical Systems. 4:139-167

Θεματικοί όροι: 0301 basic medicine, 0303 health sciences, Matemática, Nonholonomic Constraints, Biopropulsion in water and in air, Differential-geometric methods in systems theory, Stokes and related (Oseen, etc.) flows, Dinâmica de fluídos - Modelos matemáticos, 03 medical and health sciences, Connections And Curvature, Stokes Flows, Fluxo de Stokes, Sistema não-holonômico, Nonlinear systems in control theory, Número de, Classical or axiomatic geometry and physics, Reynolds, Connections (general theory)

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/BF02970856
https://dialnet.unirioja.es/servlet/articulo?codigo=1256895
http://www.ssd.udl.cat/abstracts/abstracts/vol-42/araujo.pdf
https://documat.unirioja.es/servlet/articulo?codigo=1256895

Geometry of adaptive control: optimization and geodesics: Geometry of adaptive control: Optimization and geodesics

Συγγραφείς: Diego Colón, Felipe Pait

Πηγή: International Journal of Adaptive Control and Signal Processing. 18:381-392

Θεματικοί όροι: topology and geometry of control systems, Riccati equation, 0209 industrial biotechnology, Adaptive control/observation systems, 02 engineering and technology, adaptive control, Differential-geometric methods in systems theory, system identification

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://doi.wiley.com/10.1002/acs.801
http://onlinelibrary.wiley.com/doi/10.1002/acs.801/abstract

Abnormals and Cut Loci: Abnormals and cut loci

Συγγραφείς: S. Jacquet

Πηγή: Journal of Mathematical Sciences. 120:919-927

Θεματικοί όροι: subanalytic, 0209 industrial biotechnology, sub-Riemannian distances, 02 engineering and technology, Sensitivity, stability, well-posedness, 0101 mathematics, Differential-geometric methods in systems theory, 01 natural sciences, Sub-Riemannian geometry, abnormal minimizer

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2170224
https://doi.org/10.1023/b:joth.0000013555.54955.20
https://link.springer.com/article/10.1023/B%3AJOTH.0000013555.54955.20

Versal deformations in orbit spaces: Versal deformations in orbit spaces.

Συγγραφείς: Puerta Sales, Ferran, Puerta Coll, Xavier, Tarragona Romero, Sonia

Συνεισφορές: Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions

Πηγή: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Θεματικοί όροι: Control::93C Control systems, 0209 industrial biotechnology, observability, Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory, versal deformation, Sistemes, Control::93B Controllability, orbit spaces, 93C Control systems, guided systems [Control], 02 engineering and technology, Control::93B Controllability, observability, and system structure, (C,A)-invariant subspaces, analysis on manifolds::58K Theory of singularities and catastrophe theory, \((C,A)\)-invariant subspace, Classificació AMS::58 Global analysis, Sistemes de control, 0202 electrical engineering, electronic engineering, information engineering, Discrete Mathematics and Combinatorics, guided systems, Control::93C Control systems, guided systems, Sistemes, Teoria de, Classificació AMS::93 Systems Theory, System theory, Groups acting on specific manifolds, orbit space, Grassmann manifold, Versal deformation, Numerical Analysis, 93 Systems Theory [Classificació AMS], Algebra and Number Theory, Teoria de, Orbit space, flag manifold, Differential-geometric methods in systems theory, and system structure, 93B Controllability, observability, and system structure [Control], (C,A)-invariant subspace, Perturbations in control/observation systems, Flag manifold, Geometry and Topology, Global analysis (Mathematics), 58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory [Classificació AMS]

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: http://hdl.handle.net/2117/844
https://hdl.handle.net/2117/844
https://upcommons.upc.edu/handle/2117/844
https://upcommons.upc.edu/bitstream/2117/844/1/0301puerta.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0024379503005780
https://www.sciencedirect.com/science/article/pii/S0024379503005780

The computation of Lie derivatives and Lie brackets based on automatic differentiation

Συγγραφείς: Klaus Röbenack, Kurt J. Reinschke

Πηγή: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 84:114-123

Θεματικοί όροι: Numerical differentiation, 0209 industrial biotechnology, exact linearization, univariate Taylor series, Nonlinear systems in control theory, 02 engineering and technology, 0101 mathematics, observability matrix, Differential-geometric methods in systems theory, controller design, 01 natural sciences, Computational methods in systems theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2056895
https://doi.org/10.1002/zamm.200320077
http://doi.wiley.com/10.1002/zamm.200320077
https://onlinelibrary.wiley.com/doi/abs/10.1002/zamm.200320077
http://ui.adsabs.harvard.edu/abs/2004ZaMM...84..114R/abstract

Sufficient Conditions for the Stable Controllability of a Nonautonomous System in the Critical Case: Sufficient conditions for the stable controllability of a nonautonomous system in the critical case

Συγγραφείς: L. I. Rodina, Yu. V. Masterkovand

Πηγή: Differential Equations. 40:33-42

Θεματικοί όροι: Controllability, 0209 industrial biotechnology, Attainable sets, reachability, attainable sets, Nonlinear systems in control theory, nonautonomous control systems, 02 engineering and technology, 0101 mathematics, Differential-geometric methods in systems theory, controllability, nonlinear control systems, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023/B%3ADIEQ.0000028711.26836.27

REAL AND COMPLEX HAMILTONIAN MECHANICS ON SOME SUBRIEMANNIAN MANIFOLDS: Real and complex Hamiltonian mechanics on some sub-Riemannian manifolds

Συγγραφείς: CALIN , OVIDIU, CHANG , DER-CHEN, GREINER , PETER

Πηγή: Asian J. Math. 8, no. 1 (2004), 137-160

Θεματικοί όροι: Hamilton's equations, Relations of dynamical systems with symplectic geometry and topology, Subelliptic equations, sub-Riemannian manifold, real and complex mechanics, 0101 mathematics, Differential-geometric methods in systems theory, 01 natural sciences, Sub-Riemannian geometry

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://www.intlpress.com/site/pub/files/_fulltext/journals/ajm/2004/0008/0001/AJM-2004-0008-0001-a011.pdf
https://projecteuclid.org/download/pdf_1/euclid.ajm/1087840913
https://www.intlpress.com/site/pub/files/_fulltext/journals/ajm/2004/0008/0001/AJM-2004-0008-0001-a011.pdf
https://projecteuclid.org/euclid.ajm/1087840913
https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0008/0001/a011/
http://projecteuclid.org/euclid.ajm/1087840913

Controllability of Poisson Systems: Controllability of Poisson systems

Συγγραφείς: Petre Birtea, Tudor S. Ratiu, Mircea Puta

Πηγή: SIAM Journal on Control and Optimization. 43:937-954

Θεματικοί όροι: Controllability, symplectic manifold, Dynamics of multibody systems, Momentum maps, symplectic reduction, reduction, Symplectic manifolds (general theory), weak positive Poisson stability, 0101 mathematics, Differential-geometric methods in systems theory, controllability, 01 natural sciences, Poisson manifold

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://infoscience.epfl.ch/record/129528/files/BiPuRa2004.pdf
https://zbmath.org/2139109
https://doi.org/10.1137/s0363012902401251
https://infoscience.epfl.ch/record/129528
https://dblp.uni-trier.de/db/journals/siamco/siamco43.html#BirteaPR04
https://epubs.siam.org/doi/abs/10.1137/S0363012902401251
https://dialnet.unirioja.es/servlet/articulo?codigo=1046331
https://doi.org/10.1137/S0363012902401251

Invariant tracking: Invariant tracking.

Συγγραφείς: Martin, Philippe, Rouchon, Pierre, Rudolph, Joachim

Πηγή: ESAIM: Control, Optimisation and Calculus of Variations. 10:1-13

Θεματικοί όροι: decoupling, output tracking, 0209 industrial biotechnology, 0203 mechanical engineering, Control of mechanical systems, Nonlinear systems in control theory, nonlinear control, 02 engineering and technology, invariants, Input-output approaches in control theory, Differential-geometric methods in systems theory, Symmetries

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.esaim-cocv.org/articles/cocv/pdf/2004/01/cocv02314.pdf