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

M. Lazar; W.P.M.H. Heemels; A.R. Teel

doi:10.1109/TAC.2012.2231611

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

M. Lazar, W.P.M.H. Heemels, A.R. Teel

Research output: Contribution to journal › Article › Academic › peer-review

18 Citations (Scopus)

1 Downloads (Pure)

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 language	English
Pages (from-to)	1609-1613
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	58
Issue number	6
DOIs	https://doi.org/10.1109/TAC.2012.2231611
Publication status	Published - 2013

Access to Document

10.1109/TAC.2012.2231611

Fingerprint Dive into the research topics of 'Further input-to-state stability subtleties for discrete-time systems'. Together they form a unique fingerprint.

Cite this

Lazar, M., Heemels, W. P. M. H., & Teel, A. R. (2013). Further input-to-state stability subtleties for discrete-time systems. IEEE Transactions on Automatic Control, 58(6), 1609-1613. https://doi.org/10.1109/TAC.2012.2231611

@article{eca3db3c94654bc2ad7f25cff5f9f121,

title = "Further input-to-state stability subtleties for discrete-time systems",

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",

year = "2013",

doi = "10.1109/TAC.2012.2231611",

language = "English",

volume = "58",

pages = "1609--1613",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers",

number = "6",

}

TY - JOUR

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

AU - Lazar, M.

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

AU - Teel, A.R.

PY - 2013

Y1 - 2013

N2 - 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.

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.

U2 - 10.1109/TAC.2012.2231611

DO - 10.1109/TAC.2012.2231611

M3 - Article

VL - 58

SP - 1609

EP - 1613

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 6

ER -