4 citations · 16 across the 11 of their papers we have counts for
13 papers
Flatness of the Generic Under-Actuated 6-Degrees-of-Freedom Unmanned Surface Vessel
Taylor J. Klotz, Peter J. Vassiliou
The flatness of the under-actuated unmanned surface vessel with circular hull-shape (``the hovercraft") has long been known. We resolve the long-standing open problem: whether the…
Quotients of Invariant Control Systems
Taylor J. Klotz, Peter J. Vassiliou
In previous work it was shown that if a control system on manifold has a control symmetry group then it very often has group quotients (or symmetry…
Dynamic Feedback Linearization of Control Systems with Symmetry
Jeanne N. Clelland, Taylor J. Klotz, Peter J. Vassiliou
Control systems of interest are often invariant under Lie groups of transformations. For such control systems, a geometric framework based on Lie symmetry is formulated, and from t…
Isometric Embedding and Darboux Integrability
Jeanne Clelland, Thomas Ivey, Naghmana Tehseen +1
Given a smooth 2-dimensional Riemannian or pseudo-Riemannian manifold and an ambient 3-dimensional Riemannian or pseudo-Riemannian manifold $(N, \boldsymbol{h…
Symmetry Reduction, Contact Geometry and Nonlinear Trajectory Planning
Jose De Dona, Naghmana Tehseen, Peter J Vassiliou
We study control systems invariant under a Lie group with application to the problem of nonlinear trajectory planning. A theory of symmetry reduction of exterior differential syste…
A solvable string on a Lorentzian surface
Jeanne N. Clelland, Peter J. Vassiliou
It is shown that there are nonlinear sigma models which are Darboux integrable and possess a solvable Vessiot group in addition to those whose Vessiot groups are central extensions…