3 papers
math.DG2026
On Some Local Geometry of Bi-Contact Structures
Taylor J. Klotz, George R. Wilkens
We investigate the local geometry of a pair of independent contact structures on 3-manifolds under maps that independently preserve each contact structure. We discover that such ma…
math.OC2025
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…
math.OC2024
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…