Results on Discrete-Time Control-Lyapunov Functions

Kellett, Christopher M.; Teel, Andrew R.

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Results on Discrete-Time Control-Lyapunov Functions

Date

2003

Authors

Kellett, Christopher M.

Teel, Andrew R.

Abstract

We demonstrate the existence of a smooth control-Lyapunov function (CLF) for difference equations asymptotically controllable to closed sets. This follows from a more general result on the existence of a weak Lyapunov function under the assumption of weak asymptotic stability of a closed (not necessarily compact) set for a difference inclusion. We use the derived CLF to construct a robust stabilizer.