Embedded Files
I do not mind if you think slowly, but I do object when you publish more quickly than you think — Wolfgang Pauli
2025b
Title: The Fundamental Theorem of Dynamical Systems: all at once and all in the same place
Author(s): Andrew D. Lewis
Detail: Preprint
2025b.pdf2025a
Title: Invariance of subbundles and nonholonomic trajectories
Author(s): Andrew D. Lewis and Ahmed G. Shaltut
Detail: Geometric Mechanics (to appear)
2025a.pdf2023a
Title: Geometric and function analytic methods for flows of time- and parameter-dependent vector fields
Author(s): Andrew D. Lewis
Detail: Geometry, Topology, and Control System Design, Proceedings of Banff International Research Station Workshop, June 11-16, 2023, Mohamed Ali Belabbas (editor), AIMS on Applied Mathematics, no. 13, American Institute of Mathematical Sciences, 978-1-60133-027-7, 271-336, 2025
2023a.pdf2022a
Title: The exponential map for time-varying vector fields
Author(s): Yanlei Zhang
Detail: PhD thesis
2022a.pdf2021a
Title: Integrable and absolutely continuous vector-valued functions
Author(s): Andrew D. Lewis
Detail: Rocky Mountain Journal of Mathematics 52(3), 925-947, 2022
2021a.pdf2020b
Title: Gelfand duality for manifolds, and vector and other bundles
Author(s): Andrew D. Lewis
Detail: Differential Geometry and its Applications 91, 102050, 2023
2020b.pdf2018a
Title: Nonholonomic and constrained variational mechanics
Author(s): Andrew D. Lewis
Detail: Journal of Geometric Mechanics 12(2), 165-308, 2020
2018a.pdf2017a
Title: The bountiful intersection of differential geometry, geometric mechanics, and geometric control theory
Author(s): Andrew D. Lewis
Detail: Annual Review of Control, Robotics, and Autonomous Systems 1, 135-158, 2018
2017a.pdf2016b
Title: Remarks on stability of time-varying linear systems
Author(s): Andrew D. Lewis
Detail: IEEE Transactions on Automatic Control 62(11), 6039-6043, 2017
2016b.pdf2016a
Title: On the role of regularity in mathematical control theory
Author(s): Saber Jafarpour
Detail: PhD thesis
2016a.pdf2014g
Title: The physical foundations of geometric mechanics
Author(s): Andrew D. Lewis
Detail: Journal of Geometric Mechanics 9(4), 487-574, 2017
2014g.pdf2014f
Title: Real analytic control systems
Author(s): Saber Jafarpour and Andrew D. Lewis
Detail: Proceedings of the 53rd IEEE Conference on Decision and Control, December 2014, 5618-5623
2014f.pdf2014e
Title: Tautological control systems
Author(s): Andrew D. Lewis
Detail: Proceedings of the 53rd IEEE Conference on Decision and Control, December 2014, 4832-4837
2014e.pdf2014d
Title: Linearisation of tautological control systems
Author(s): Andrew D. Lewis
Detail: Journal of Geometric Mechanics 8(1), 99-138, 2016
2014d.pdf2014c
Title: Tautological control systems
Author(s): Andrew D. Lewis
Detail: Springer Briefs in Electrical and Computer Engineering - Control, Automation and Robotics, Springer-Verlag, 2014, ISBN 978-3-319-08638-5
2014c.pdf2014b
Title: Locally convex topologies and control theory
Author(s): Sabar Jafarpour and Andrew D. Lewis
Detail: Mathematics of Control, Signals and Systems 28(4), 1-46, 2016
2014b.pdf2014a
Title: Time-varying vector fields and their flows
Author(s): Saber Jafarpour and Andrew D. Lewis
Detail: Springer Briefs in Mathematics, Springer-Verlag, 2014, ISBN 978-3-319-10139-2
2014a.pdf2012b
Title: Feedback stabilisation of locally controllable systems
Author(s): Pantelis Isaiah
Detail: PhD thesis
2012b.pdf2012a
Title: Fundamental problems of geometric control theory
Author(s): Andrew D. Lewis
Detail: Proceedings of 51st IEEE Conference on Decision and Control, December 2012, 7511-7516
2012a.pdf2011b
Title: Small-time local controllability of homogeneous systems
Author(s): César O. Aguilar and Andrew D. Lewis
Detail: SIAM Journal on Control and Optimization 50(3), 1502-1517, 2012
2011b.pdf2011a
Title: Geometric interpretations of the symmetric product in affine differential geometry
Author(s): María Barbero-Liñán and Andrew D. Lewis
Detail: International Journal of Geometric Methods in Modern Physics 9(8), 1250073, 2012
2011a.pdf2010b
Title: Geometric interpretations of the symmetric product in affine differential geometry
Author(s): Andrew D. Lewis and David R. Tyner
Detail: Journal of Geometric Mechanics 2(4), 397-440, 2010
2010b.pdf2010a
Title: Local controllability of affine distributions
Author(s): César O. Aguilar
Detail: PhD thesis
2010a.pdf2009a
Title: A geometric approach to energy shaping
Author(s): Bahman Gharesifard
Detail: PhD thesis
2009a.pdf2008b
Title: A geometric framework for stabilization by energy shaping: Sufficient conditions for existence of solutions
Author(s): Bahman Gharesifard, Andrew D. Lewis, and Abdol-Reza Mansouri
Detail: Communications for Information and Systems 8(4), 353-398, 2008
2008b.pdf2008a
Title: Jet bundles and algebro-geometric characterisations for controllability of affine systems
Author(s): César O. Aguilar and Andrew D. Lewis
Detail: Proceedings of the 47th IEEE Conference on Decision and Control, December 2008, 1267-1274
2008a.pdf2007b
Title: Geometric Jacobian linearization
Author(s): David R. Tyner
Detail: PhD thesis
2007b.pdf2007a
Title: Geodesic reduction via frame bundle geometry
Author(s): Ajit Bhand
Detail: PhD thesis
2007a.pdf2006b
Title: Is it worth learning differential geometric methods for modelling and control of mechanical systems?
Author(s): Andrew D. Lewis
Detail: Robotica 26(6), 765-777, November 2007
2006b.pdf2006a
Title: Potential energy shaping after kinetic energy shaping
Author(s): Andrew D. Lewis
Detail: Proceedings of the 45th IEEE Conference on Decision and Control, December 2006, 3339-3344
2006a.pdf2005b
Title: An example with interesting controllability and stabilisation properties
Author(s): Ron M. Hirschorn and Andrew D. Lewis
Detail: Proceedings of the 45th IEEE Conference on Decision and Control, December 2006, 3748-3753
2005b.pdf2004d
Title: Notes on energy shaping
Author(s): Andrew D. Lewis
Detail: Proceedings of the 43rd IEEE Conference on Decision and Control, December 2004, 4818-4823
2004d.pdf2004c
Title: Reduction, linearization, and stability of relative equilibria for mechanical systems on Riemannian manifolds
Author(s): Francesco Bullo and Andrew D. Lewis
Detail: Acta Applicandae Mathematicae 99(1), 53-95, 2007
2004c.pdf2004b
Title: Discussion on: ``Dynamic Sliding Mode Control for a Class of Systems with Mismatched Uncertainty''
Author(s): Andrew D. Lewis
Detail: European Journal of Control 11, 12-15, 2005
2004b.pdf2004a
Title: Rigid body mechanics in Galilean spacetimes
Author(s): Ajit Bhand and Andrew D. Lewis
Detail: Journal of Mathematical Physics 46(11), 102902, 2005
2004a.pdf2003c
Title: Geometric sliding mode control: the linear and linearized theory
Author(s): Ron M. Hirschorn and Andrew D. Lewis
Detail: Proceedings of the 42nd IEEE Conference on Decision and Control, December 2003, 2971-2976
Note: An expanded version of this paper can be found at 2002c under Unpublished miscellanea
2003b
Title: Controllability of a hovercraft model (and two general results)
Author(s): Andrew D. Lewis and David R. Tyner
Detail: Proceedings of the 43rd IEEE Conference on Decision and Control, December 2004, 1204-1209
2003b.pdf2003a
Title: Jacobian linearisation in a geometric setting
Author(s): Andrew D. Lewis and David R. Tyner
Detail: Proceedings of the 42nd IEEE Conference on Decision and Control, December 2003, 6084-6089
2003a.pdf2002e
Title: Low-order controllability and kinematic reductions for affine connection control systems
Author(s): Francesco Bullo and Andrew D. Lewis
Detail: SIAM Journal on Control and Optimization 44(3), 885-908, 2005
2002e.pdf2002d
Title: What is the characteristic polynomial of a signal flow graph?
Author(s): Andrew D. Lewis
Detail: Sixty Open Problems in Mathematical Systems and Control Theory, Vincent Blondel and Alexandre Megretski (Eds.), Princeton University Press, ISBN 978-0-691-11748-5, 326-329, 2004
2002d.pdf2002c
Title: High-order variations for families of vector fields
Author(s): Ron M. Hirschorn and Andrew D. Lewis
Detail: SIAM Journal on Control and Optimization 43(1), 301-324, 2004
2002c.pdf2002b
Title: Geometric local controllability: second-order conditions
Author(s): Ron M. Hirschorn and Andrew D. Lewis
Detail: Proceedings of 41st IEEE Conference on Decision and Control, December 2002, 368-369
Note: An expanded version of this paper can be found at 2002a under Unpublished miscellanea
2002a
Title: Vector-valued quadratic forms in control theory
Author(s): Francesco Bullo, Jorge Cortés, Andrew D. Lewis, and Sonia Martínez
Detail: Sixty Open Problems in Mathematical Systems and Control Theory, Vincent Blondel and Alexandre Megretski (Eds.), Princeton University Press, ISBN 978-0-691-11748-5, 315-320, 2004
2002a.pdf2001d
Title: Controllable kinematic reductions for mechanical systems: concepts, computational tools, and examples
Author(s): Francesco Bullo, Andrew D. Lewis, and Kevin M. Lynch
Detail: Proceedings of MTNS02, University of Notre Dame, August 2002
2001d.pdf2001c
Title: Kinematic controllability and motion planning for the snakeboard
Author(s): Francesco Bullo and Andrew D. Lewis
Detail: IEEE Transactions on Robotics and Automation 19(3), 494-498, 2003
2001c.pdf2001b
Title: A high order sufficient condition for local controllability
Author(s): Ron M. Hirschorn and Andrew D. Lewis
Detail: Proceedings of 40th IEEE Conference on Decision and Control, December 2001, 2607-2612
Note: See 2002c
2001a
Title: Geometric first-order controllability conditions for affine connection control systems
Author(s): Ron M. Hirschorn and Andrew D. Lewis
Detail: Proceedings of 40th IEEE Conference on Decision and Control, December 2001, 4216-4221
Note: See 2002e
2000b
Title: On the homogeneity of the affine connection model for mechanical control systems
Author(s): Francesco Bullo and Andrew D. Lewis
Detail: Proceedings of the 39th IEEE Conference on Decision and Control, December 2000, 1260-1265
2000b.pdf2000a
Title: The category of affine connection control systems
Author(s): Andrew D. Lewis
Detail: Proceedings of the 39th IEEE Conference on Decision and Control, December 2000, 5119-5124
2000a.pdf1999a
Title: Affine connection control systems
Author(s): Andrew D. Lewis
Detail: IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
1999a.pdf1998c
Title: Configuration controllability of simple mechanical control systems
Author(s): Andrew D. Lewis and Richard M. Murray
Detail: SIAM Review. A Publication of the Society for Industrial and Applied Mathematics 41(3), 555-574, 1999
1998c.pdf1998b
Title: When is a mechanical control system kinematic?
Author(s): Andrew D. Lewis
Detail: Proceedings of the 38th IEEE Conference on Decision and Control, December 1999, 1162-1167
Note: See 2002e
1998a
Title: Towards F=ma in a general setting for Lagrangian mechanics
Author(s): Andrew D. Lewis
Detail: Annales Henri Poincaré 1(3), 569-605, 2000
1998a.pdf1997b
Title: Controllability and motion algorithms for underactuated Lagrangian systems on Lie groups
Author(s): Francesco Bullo, Naomi E. Leonard, and Andrew D. Lewis
Detail: IEEE Transactions on Automatic Control 45(8), 1437-1454, 2000
1997b.pdf1997a
Title: Simple mechanical control systems with constraints
Author(s): Andrew D. Lewis
Detail: IEEE Transactions on Automatic Control 45(8), 1420-1436, 2000
1997a.pdf1996d
Title: Affine connections and distributions
Author(s): Andrew D. Lewis
Detail: Appears as ``Affine connections and distributions with applications to nonholonomic mechanics'' in Reports on Mathematical Physics 42(1/2), 135-164, 1998
1996d.pdf1996c
Title: Local configuration controllability for a class of mechanical systems with a single input
Author(s): Andrew D. Lewis
Detail: Proceedings of the 1997 European Control Conference
Note: See 2002e
1996b
Title: Configuration controllability of mechanical systems on Lie groups
Author(s): Francesco Bullo and Andrew D. Lewis
Detail: Proceedings of MTNS '96, St Louis, MO
Note: See 1997b
1996a
Title: Decompositions of control systems on manifolds with an affine connection
Author(s): Andrew D. Lewis and Richard M. Murray
Detail: Systems & Control Letters 31(4), 199-205, 1997
1996a.pdf1995e
Title: Aspects of geometric mechanics and control of mechanical systems
Author(s): Andrew D. Lewis
Detail: PhD thesis
1995e.pdf1995d
Title: The geometry of the Gibbs-Appell equations and Gauss's Principle of Least Constraint
Author(s): Andrew D. Lewis
Detail: Reports on Mathematical Physics 38(1), 11-28, 1996
1995d.pdf1995c
Title: Configuration controllability of simple mechanical control systems
Author(s): Andrew D. Lewis and Richard M. Murray
Detail: SIAM Journal on Control and Optimization 35(3), 766-790, 1997
1995c.pdf1995b
Title: The mechanics of undulatory locomotion: the mixed kinematic and dynamic case
Author(s): James P. Ostrowski, Joel W. Burdick, Andrew D. Lewis, and Richard M. Murray
Detail: Proceedings of the 1995 IEEE International Conference on Robotics and Automation, May 1995, 1945-1951
1995b.pdf1995a
Title: Configuration controllability for a class of mechanical systems
Author(s): Andrew D. Lewis and Richard M. Murray
Detail: Proceedings of the 34th IEEE Conference on Decision and Control, December 1995, 1-5
Note: See 1995c
1994a
Title: Variational principles for constrained systems: theory and experiment
Author(s): Andrew D. Lewis and Richard M. Murray
Detail: The International Journal of Nonlinear Mechanics 30(6), 793-815, 1995
1994a.pdf1993a
Title: Nonholonomic mechanics and locomotion: the snakeboard example
Author(s): Andrew D. Lewis, James P. Ostrowski, Joel W. Burdick, and Richard M. Murray
Detail: Proceedings of the 1994 IEEE International Conference on Robotics and Automation, May 1994, 2391-2400
1993a.pdf1991d
Title: Determining optimal points of membership with dependent variables
Author(s): Kevin N. Otto, Andrew D. Lewis, and Erik K. Antonsson
Detail: Fuzzy Sets and Systems 60(1), 19-24, 1993
1991c
Title: Approximating α-cuts with the vertex method
Author(s): Kevin N. Otto, Andrew D. Lewis, and Erik K. Antonsson
Detail: Fuzzy Sets and Systems 55(1), 43-50, 1993
1991b
Title: Membership induced on manifolds by vector fields and flows
Author(s): Kevin N. Otto, Andrew D. Lewis, and Erik K. Antonsson
Detail: Fuzzy Sets and Systems 70(1), 15-29, 1995
1991a
Title: Lagrangian submanifolds and an application to the reduced Schrödinger equation in central force problems
Author(s): Andrew D. Lewis
Detail: Letters in Mathematical Physics 25(3), 189-201, 1992
1991a.pdf1990a
Title: Further numerical studies of oblique impact
Author(s): Robert J. Rogers and Andrew D. Lewis
Detail: Journal of Sound and Vibration 141(3), 507-510, 1990
1991a.pdf1988a
Title: Experimental and numerical study of forces during oblique impact
Author(s): Andrew D. Lewis and Robert J. Rogers
Detail: Journal of Sound and Vibration 125(3), 403-412, 1988
1991a.pdfPage updated
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