34 citations · 41 across the 7 of their papers we have counts for
4 papers · 1 filter
An Algorithm for Local Transverse Feedback Linearization
Rollen S. D'Souza, Christopher Nielsen
Given a multi-input, nonlinear, time-invariant, control-affine system and a controlled invariant, closed, embedded submanifold , the local transverse feedback lineariza…
Exponential Stability and the Markus-Yamabe Conjecture in Compact Spaces
Ravi Mazumdar, Christopher Nielsen, Arpan Mukhopadhyay
In this note we show that if a continuous-time, nonlinear, time-invariant, finite-dimensional system evolves on a compact subset of Rn and if the Jacobian of the vector field is Hu…
Transverse feedback linearization with partial information for single-input systems
Christopher Nielsen
This paper is motivated by the problem of asymptotically stabilizing invariant sets in the state space of control systems by means of output feedback. The sets considered are smoot…
Local observers on linear Lie groups with linear estimation error dynamics
Mikhail Koldychev, Christopher Nielsen
This paper proposes local exponential observers for systems on linear Lie groups. We study two different classes of systems. In the first class, the full state of the system evolve…