Incremental stability properties for discrete-time systems

Duc N. Tran; Björn S. Rüffer; Christopher M. Kellett

doi:10.1109/CDC.2016.7798314

Incremental stability properties for discrete-time systems

Duc N. Tran, Björn S. Rüffer, Christopher M. Kellett

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

28 Citations (Scopus)

Abstract

Incremental stability describes the asymptotic behavior between any two trajectories of a dynamical system. Such properties are of interest, for example, in the study of observers or synchronization of chaotic systems. In this paper, we develop the notions of incremental stability and incremental input-to-state stability (ISS) for discrete-time systems. We derive Lyapunov function characterizations for these properties as well as a useful summation-to-summation formulation of the incremental stability property.

Original language	English
Title of host publication	2016 IEEE 55th Conference on Decision and Control, CDC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	477-482
Number of pages	6
ISBN (Electronic)	9781509018376
DOIs	https://doi.org/10.1109/CDC.2016.7798314
Publication status	Published - 27 Dec 2016
Externally published	Yes
Event	55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States Duration: 12 Dec 2016 → 14 Dec 2016

Publication series

Name	2016 IEEE 55th Conference on Decision and Control, CDC 2016

Conference

Conference	55th IEEE Conference on Decision and Control, CDC 2016
Country/Territory	United States
City	Las Vegas
Period	12/12/16 → 14/12/16

Access to Document

10.1109/CDC.2016.7798314

Cite this

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title = "Incremental stability properties for discrete-time systems",

abstract = "Incremental stability describes the asymptotic behavior between any two trajectories of a dynamical system. Such properties are of interest, for example, in the study of observers or synchronization of chaotic systems. In this paper, we develop the notions of incremental stability and incremental input-to-state stability (ISS) for discrete-time systems. We derive Lyapunov function characterizations for these properties as well as a useful summation-to-summation formulation of the incremental stability property.",

author = "Tran, {Duc N.} and R{\"u}ffer, {Bj{\"o}rn S.} and Kellett, {Christopher M.}",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 55th IEEE Conference on Decision and Control, CDC 2016 ; Conference date: 12-12-2016 Through 14-12-2016",

year = "2016",

month = dec,

day = "27",

doi = "10.1109/CDC.2016.7798314",

language = "English",

series = "2016 IEEE 55th Conference on Decision and Control, CDC 2016",

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}

Tran, DN, Rüffer, BS & Kellett, CM 2016, Incremental stability properties for discrete-time systems. in 2016 IEEE 55th Conference on Decision and Control, CDC 2016., 7798314, 2016 IEEE 55th Conference on Decision and Control, CDC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 477-482, 55th IEEE Conference on Decision and Control, CDC 2016, Las Vegas, United States, 12/12/16. https://doi.org/10.1109/CDC.2016.7798314

Incremental stability properties for discrete-time systems. / Tran, Duc N.; Rüffer, Björn S.; Kellett, Christopher M.
2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 477-482 7798314 (2016 IEEE 55th Conference on Decision and Control, CDC 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Kellett, Christopher M.

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N2 - Incremental stability describes the asymptotic behavior between any two trajectories of a dynamical system. Such properties are of interest, for example, in the study of observers or synchronization of chaotic systems. In this paper, we develop the notions of incremental stability and incremental input-to-state stability (ISS) for discrete-time systems. We derive Lyapunov function characterizations for these properties as well as a useful summation-to-summation formulation of the incremental stability property.

AB - Incremental stability describes the asymptotic behavior between any two trajectories of a dynamical system. Such properties are of interest, for example, in the study of observers or synchronization of chaotic systems. In this paper, we develop the notions of incremental stability and incremental input-to-state stability (ISS) for discrete-time systems. We derive Lyapunov function characterizations for these properties as well as a useful summation-to-summation formulation of the incremental stability property.

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M3 - Conference contribution

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SP - 477

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BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016

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T2 - 55th IEEE Conference on Decision and Control, CDC 2016

Y2 - 12 December 2016 through 14 December 2016

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Incremental stability properties for discrete-time systems

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