Further input-to-state stability subtleties for discrete-time systems

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Abstract

This technical note considers input-to-state stability analysis of discrete-time systems using continuous Lyapunov functions. The main result reveals a relation between existence of a continuous Lyapunov function and inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8-continuous, the result applies to unbounded sets as well.
Original languageEnglish
Pages (from-to)1609-1613
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume58
Issue number6
DOIs
Publication statusPublished - 2013

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Lyapunov functions
Continuous time systems

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abstract = "This technical note considers input-to-state stability analysis of discrete-time systems using continuous Lyapunov functions. The main result reveals a relation between existence of a continuous Lyapunov function and inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8-continuous, the result applies to unbounded sets as well.",
author = "M. Lazar and W.P.M.H. Heemels and A.R. Teel",
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Further input-to-state stability subtleties for discrete-time systems. / Lazar, M.; Heemels, W.P.M.H.; Teel, A.R.

In: IEEE Transactions on Automatic Control, Vol. 58, No. 6, 2013, p. 1609-1613.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Further input-to-state stability subtleties for discrete-time systems

AU - Lazar, M.

AU - Heemels, W.P.M.H.

AU - Teel, A.R.

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AB - This technical note considers input-to-state stability analysis of discrete-time systems using continuous Lyapunov functions. The main result reveals a relation between existence of a continuous Lyapunov function and inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8-continuous, the result applies to unbounded sets as well.

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DO - 10.1109/TAC.2012.2231611

M3 - Article

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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