Now showing items 1-2 of 2

    • Global Stability of a Class of Difference Equations on Solvable Lie Algebras 

      McCarthy, Philip James; Nielsen, Christopher (Springer, 2020-06-17)
      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 flow on a solvable matrix Lie group. The map ...
    • Sampled-Data Control of Invariant Systems on Exponential Lie Groups 

      McCarthy, Philip James (University of Waterloo, 2019-08-28)
      This thesis examines the dynamics and control of a class of systems furnished by kinematic systems on exponential matrix Lie groups, when the plant evolves in continuous-time, but whose controller is implemented in ...

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