| Abstract: |
| Discrete-time dynamics on Lie groups can be used to describe several mechanical, electrical and quantum systems. Here we study finite-time stability of discrete-time systems evolving on Lie groups, and obtain sufficient conditions for finite-time stabilization. We further develop sufficient conditions for finite-time stable tracking of given trajectories on a Lie group. One of the significant advantages of finite-time stability over asymptotic or exponential stability is its added robustness for similar control bounds. This is shown both theoretically and using numerical experiments. |
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