All Stories

  1. Isometries of Riemannian and sub-Riemannian structures on three-dimensional Lie groups

    Article • Communications in Mathematics, December 2017, De Gruyter

    Rory Biggs

  2. Quadratic Hamilton–Poisson Systems on se ( 1 ...

    Article • Acta Applicandae Mathematicae, November 2017, Springer Science + Business Media

    Rory Biggs

  3. A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms

    Article • Differential Geometry and its Applications, October 2017, Elsevier

    Rory Biggs

  4. Control systems on nilpotent Lie groups of dimension ≤4: Equivalence and classification

    Article • Differential Geometry and its Applications, October 2017, Elsevier

    Rory Biggs

  5. Invariant Control Systems on Lie Groups

    Article • January 2017, Springer Science + Business Media

    Rory Biggs

  6. Quadratic Hamilton–Poisson Systems in Three Dimensions: Equivalence, Stability, and Integration

    Article • Acta Applicandae Mathematicae, September 2016, Springer Science + Business Media

    Rory Biggs

  7. Invariant nonholonomic Riemannian structures on three-dimensional Lie groups

    Article • Journal of Geometric Mechanics, June 2016, American Institute of Mathematical Sciences (AIMS)

    Rory Biggs

  8. On extensions of sub-Riemannian structures on Lie groups

    Article • Differential Geometry and its Applications, June 2016, Elsevier

    Rory Biggs

  9. On Sub-Riemannian and Riemannian Structures on the Heisenberg Groups

    Article • Journal of Dynamical and Control Systems, April 2016, Springer Science + Business Media

    Rory Biggs

  10. Equivalence of Control Systems on the Pseudo-Orthogonal Group SO (2, 1)0

    Article • Analele Universitatii Ovidius Constanta - Seria Matematica, January 2016, De Gruyter

    Claudiu Remsing, Rory Biggs

  11. Control systems on the Heisenberg group: equivalence and classification

    Article • Publicationes Mathematicae Debrecen, January 2016, University of Debrecen/ Debreceni Egyetem

    Rory Biggs

  12. Quadratic Hamilton–Poisson systems on $\mathfrak{s}\mathfrak{e}(1, 1)^{*}_{-}$: The homogeneous case

    Article • International Journal of Geometric Methods in Modern Physics, January 2015, World Scientific Pub Co Pte Lt

    Rory Biggs

  13. Some remarks on the oscillator group

    Article • Differential Geometry and its Applications, September 2014, Elsevier

    Rory Biggs

  14. Control systems on three-dimensional lie groups

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Rory Biggs

  15. Optimal control of drift-free invariant control systems on the group of motions of the minkowski plane

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Rory Biggs

  16. Control Systems on Three-Dimensional Lie Groups: Equivalence and Controllability

    Article • Journal of Dynamical and Control Systems, March 2014, Springer Science + Business Media

    Rory Biggs

  17. A Classification of Quadratic Hamilton-Poisson Systems in Three Dimensions

    Article • January 2014, Prof. Marin Drinov Academic Publishing House

    Rory Biggs

  18. Quadratic Hamilton-Poisson Systems on $\mathfrak{so}^*_{-}(3)$: Classification and Integration

    Article • January 2014, Prof. Marin Drinov Academic Publishing House

    Rory Biggs

  19. Cost-Extended Control Systems on Lie Groups

    Article • Mediterranean Journal of Mathematics, October 2013, Springer Science + Business Media

    Rory Biggs

  20. A Classification of Sub-Riemannian Structures on the Heisenberg Groups

    Article • Acta Polytechnica Hungarica, October 2013, Obuda University

    Rory Biggs

  21. Two-input control systems on the Euclidean group  SE (2)

    Article • ESAIM Control Optimisation and Calculus of Variations, July 2013, EDP Sciences

    Rory Biggs

  22. Feedback Classification of Invariant Control Systems on Three-Dimensional Lie Groups

    Article • IFAC Proceedings Volumes, January 2013, Elsevier

    Rory Biggs

  23. Control Affine Systems on Semisimple Three-Dimensional Lie Groups

    Article • Annals of the Alexandru Ioan Cuza University - Mathematics, January 2013, De Gruyter

    Rory Biggs

  24. Control affine systems on solvable three-dimensional Lie groups, I

    Article • Archivum Mathematicum, January 2013, Masaryk University Press

    Rory Biggs

  25. A Category of Control Systems

    Article • Analele Universitatii Ovidius Constanta - Seria Matematica, January 2012, De Gruyter

    Rory Biggs