2 papers
math.DS2019
Global Stability of a Class of Difference Equations on Solvable Lie Algebras
Philip James McCarthy, Christopher Nielsen
Motivated by the ubiquitous sampled-data setup in applied control, we examine the stability of a class of difference equations that arises by sampling a right- or left-invariant fl…
eess.SY2017
Local Synchronization of Sampled-Data Systems on Lie Groups
Philip James McCarthy, Christopher Nielsen
We present a smooth distributed nonlinear control law for local synchronization of identical driftless kinematic agents on a Cartesian product of matrix Lie groups with a connected…