Papers

  1. with J. Clelland and C. Moseley, Geometry of Optimal Control for Control-Affine Systems, SIGMA 9 (2013), 034, 31 pages.
  2. with J. Clelland and C. Moseley, Geometry of control-affine systems, SIGMA 5 (2009), 095, 28 pages.
  3. with R. Smith, M. Chyba and C. Catone, A geometrical approach to the motion planning problem for a submerged rigid body, International Journal of Control, Volume 82, Issue 9 September 2009, 1641-1656.
  4. with M. Chyba, T. Haberkorn and R. Smith, A Geometric Analysis of Trajectory Design for Underwater Vehicles, Discrete and Continuous Dynamical Systems-B, 11 March (2009), no. 2, 233-262.
  5. with J. Clelland and C. Moseley, Geometry of Sub-Finsler Engel Manifolds, Asian J. Math. 11 (December 2007), no. 4, 699-726.
  6. with J. Clelland and M. Kossowski, Second-order type-changing evolution equations with first-order intermediate equations, J. Differential Equations 244 (2008), no. 2, 242-273.
  7. with M. Chyba, T. Haberkorn and R. Smith, Controlling a submerged rigid body: a geometric analysis, Lagrangian and Hamiltonian Methods for Nonlinear Control 2006 (F. Allgüwer, et. al., eds), Proceedings from the 3rd IFAC Workshop, Nagoya, Japan, July 2006, Lecture Notes in Control and Information Sciences, vol. 366, Springer, Berlin, 2007, pp. 375-385.
  8. with J. Clelland and M. Kossowski, Constructing topologically distinct energy-critical curves in the path space of the Euclidean line, J. Differential Equations 241 (2007), no. 2, 305-331.
  9. with J. Weiner, Quaternions and rotations in E^4, Amer. Math. Monthly 112 (2005), no. 1, 69-76
  10. Centro-affine geometry in the plane and feedback invariants of two state scalar control systems, Differential Geometry and Control (G. Ferreyra, H. Hermes, R. Gardner, H. Sussmann, eds.), Proceedings of Symposia in Pure Mathematics, vol. 64, Amer. Math. Soc., 1999, pp. 319-333, Proceedings of the NSF/AMS Summer Research Institute (1997).
  11. Remembering the mathematics of Robert Brown Gardner, Differential Geometry and Control (G. Ferreyra, H. Hermes, R. Gardner, H. Sussmann, eds.), Proceedings of Symposia in Pure Mathematics, vol. 64, Amer. Math. Soc., 1999, pp. 319-333, Proceedings of the NSF/AMS Summer Research Institute (1997).
  12. with R. Gardner, The fundamental theorems of curves and hypersurfaces in centro-affine geometry, Bull. Belg. Math. Soc. 4 (1997), no. 3, 379-401.
  13. with R. Gardner, Preface for "Applications of Finsler geometry to control theory", Proceedings of the AMS-SIAM-IMS summer research conference on Finsler geometry (1996), AMS, 227-229.
  14. Finsler geometry in low dimensional control theory, Proceedings of the AMS-SIAM-IMS summer research conference on Finsler geometry (1996), AMS, 245-255.
  15. with R. Gardner, A pseudo-group isomorphism between control systems and certain generalized Finsler structures, Proceedings of the AMS-SIAM-IMS summer research conference on Finsler geometry (1996), AMS, 231-243.
  16. with R. Gardner, Classical geometries arising in feedback equivalence, Proceedings of the 32nd IEEE Conference on Decision and Control (1993), 3437-3440.
  17. The method of equivalence applied to three state, two input control systems, Proceedings of the 29th IEEE Conference on Decision and Control, 4 (December 1990), 2074-2079.
  18. with R. Gardner and W. Shadwick, A geometric isomorphism with applications to closed loop controls, SIAM J. on Control and Optimization, 27 (November 1989), no. 6, 1361-1368.
  19. with R. Gardner and W. Shadwick, Feedback equivalence and symmetries of Brunowski normal forms, Proceedings of the AMS-SIAM-IMS conference on Control Theory and Multi-body Systems (P.S. Krishnaprasad, J.E. Marsden and J. Simo, eds.), AMS Contemporary Mathematics series, 1989, pp. 115-130.
  20. with C. Grissom and G. Thompson, Linearization of second order ordinary differential equations via Cartan's equivalence method, J. of Differential Equations 77 (January 1989), no. 1, 1-15.
  21. with P. Henrici, An application of the multivariate Lagrange-Bürmann expansion in mathematical geodesy, Quarterly of Applied Mathematics XLV (1987), no. 1, 165-172.

Last modified: Tue Apr 16 20:10:16 HST 2013