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Discrete-time asymptotic controllability implies smooth control-Lyapunov function

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Date

2004

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Abstract

We demonstrate the existence of a smooth control-Lyapunov function (CLF) for difference equations asymptotically controllable to closed sets. We further show that this CLF may be used to construct a robust feedback stabilizer. The existence of such a CLF is a consequence of a more general result on the existence of weak Lyapunov function under the assumption of weak asymptotic stability of a closed (not necessarily compact) set for a difference inclusion.

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Keywords

Controlled difference equations, Difference inclusions, Discrete-time control-Lyapunov function, Weak converse Lyapunov theorem

Citation

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https://dspace-test.anu.edu.au/handle/1885/733744083

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DevOps Pure Testing

Source

Systems and Control Letters

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Article

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DOI

10.1016/j.sysconle.2004.02.011

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