Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems

Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems

The aim of this paper is to give characterizations in terms of Lyapunov functions for nonuniform exponential dichotomies of nonautonomous and noninvertible discrete-time systems.

Bibliographic Details
Main Authors: Ioan-Lucian Popa, Mihail Megan, Traian Ceauşu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/901026
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spelling doaj-c809c15eff8f450fb41eeec2af6eb1f92020-11-25T01:39:57ZengHindawi LimitedThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/901026901026Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time SystemsIoan-Lucian Popa0Mihail Megan1Traian Ceauşu2Department of Mathematics, University “1st December 1918” of Alba Iulia, 510009 Alba Iulia, RomaniaAcademy of Romanian Scientists, Independenţei 54, 050094 Bucharest, RomaniaDepartment of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, Vasile Pârvan Boulevard No. 4, 300223 Timişoara, RomaniaThe aim of this paper is to give characterizations in terms of Lyapunov functions for nonuniform exponential dichotomies of nonautonomous and noninvertible discrete-time systems.http://dx.doi.org/10.1155/2013/901026
collection DOAJ
language English
format Article
sources DOAJ
author Ioan-Lucian Popa
Mihail Megan
Traian Ceauşu
spellingShingle Ioan-Lucian Popa
Mihail Megan
Traian Ceauşu
Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems
The Scientific World Journal
author_facet Ioan-Lucian Popa
Mihail Megan
Traian Ceauşu
author_sort Ioan-Lucian Popa
title Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems
title_short Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems
title_full Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems
title_fullStr Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems
title_full_unstemmed Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems
title_sort nonuniform exponential dichotomies in terms of lyapunov functions for noninvertible linear discrete-time systems
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2013-01-01
description The aim of this paper is to give characterizations in terms of Lyapunov functions for nonuniform exponential dichotomies of nonautonomous and noninvertible discrete-time systems.
url http://dx.doi.org/10.1155/2013/901026
work_keys_str_mv AT ioanlucianpopa nonuniformexponentialdichotomiesintermsoflyapunovfunctionsfornoninvertiblelineardiscretetimesystems
AT mihailmegan nonuniformexponentialdichotomiesintermsoflyapunovfunctionsfornoninvertiblelineardiscretetimesystems
AT traianceausu nonuniformexponentialdichotomiesintermsoflyapunovfunctionsfornoninvertiblelineardiscretetimesystems
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