A Lyapunov approach to strong stability of semigroups

L.T. Paunonen; Heiko J. Zwart

doi:10.1016/j.sysconle.2013.05.001

A Lyapunov approach to strong stability of semigroups

L.T. Paunonen, Heiko J. Zwart

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

3 Citations (Scopus)

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Abstract

In this paper we present Lyapunov based proofs for the well-known Arendt–Batty–Lyubich–Vu Theorem for strongly continuous and discrete semigroups. We also study the spectral properties of the limit isometric groups used in the proofs.

Original language	Undefined
Pages (from-to)	673-678
Number of pages	6
Journal	Systems and control letters
Volume	62
Issue number	8
DOIs	https://doi.org/10.1016/j.sysconle.2013.05.001
Publication status	Published - 2013

Keywords

EWI-23669
MSC-47D03
Lyapunov equation
IR-87173
Strongly continuous semigroup
METIS-297823
Strong stability

Access to Document

10.1016/j.sysconle.2013.05.001

http://eprints.eemcs.utwente.nl/secure2/23669/01/1-s2.0-S0167691113000984-main.pdf

Cite this

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title = "A Lyapunov approach to strong stability of semigroups",

abstract = "In this paper we present Lyapunov based proofs for the well-known Arendt–Batty–Lyubich–Vu Theorem for strongly continuous and discrete semigroups. We also study the spectral properties of the limit isometric groups used in the proofs.",

keywords = "EWI-23669, MSC-47D03, Lyapunov equation, IR-87173, Strongly continuous semigroup, METIS-297823, Strong stability",

author = "L.T. Paunonen and Zwart, {Heiko J.}",

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T1 - A Lyapunov approach to strong stability of semigroups

AU - Paunonen, L.T.

AU - Zwart, Heiko J.

N1 - eemcs-eprint-23669

PY - 2013

Y1 - 2013

N2 - In this paper we present Lyapunov based proofs for the well-known Arendt–Batty–Lyubich–Vu Theorem for strongly continuous and discrete semigroups. We also study the spectral properties of the limit isometric groups used in the proofs.

AB - In this paper we present Lyapunov based proofs for the well-known Arendt–Batty–Lyubich–Vu Theorem for strongly continuous and discrete semigroups. We also study the spectral properties of the limit isometric groups used in the proofs.

KW - EWI-23669

KW - MSC-47D03

KW - Lyapunov equation

KW - IR-87173

KW - Strongly continuous semigroup

KW - METIS-297823

KW - Strong stability

U2 - 10.1016/j.sysconle.2013.05.001

DO - 10.1016/j.sysconle.2013.05.001

M3 - Article

SN - 0167-6911

VL - 62

SP - 673

EP - 678

JO - Systems and control letters

JF - Systems and control letters

IS - 8

ER -