A note on asymptotic stability of delay difference systems
<p/> <p>For the linear delay difference system <inline-formula><graphic file="1029-242X-2005-764965-i1.gif"/></inline-formula>, where <inline-formula><graphic file="1029-242X-2005-764965-i2.gif"/></inline-formula> is a <inline-fo...
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2005-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2005/764965 |
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doaj-eb051a60531d4869b29bcd275b124dbe2020-11-24T21:01:38ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2005-01-0120052764965A note on asymptotic stability of delay difference systemsMatsunaga Hideaki<p/> <p>For the linear delay difference system <inline-formula><graphic file="1029-242X-2005-764965-i1.gif"/></inline-formula>, where <inline-formula><graphic file="1029-242X-2005-764965-i2.gif"/></inline-formula> is a <inline-formula><graphic file="1029-242X-2005-764965-i3.gif"/></inline-formula> real constant matrix and <inline-formula><graphic file="1029-242X-2005-764965-i4.gif"/></inline-formula> is a nonnegative integer, we present an explicit necessary and sufficient condition for the asymptotic stability of the zero solution of this system in terms of <inline-formula><graphic file="1029-242X-2005-764965-i5.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2005-764965-i6.gif"/></inline-formula>, and the delay <inline-formula><graphic file="1029-242X-2005-764965-i7.gif"/></inline-formula>.</p>http://www.journalofinequalitiesandapplications.com/content/2005/764965 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Matsunaga Hideaki |
| spellingShingle |
Matsunaga Hideaki A note on asymptotic stability of delay difference systems Journal of Inequalities and Applications |
| author_facet |
Matsunaga Hideaki |
| author_sort |
Matsunaga Hideaki |
| title |
A note on asymptotic stability of delay difference systems |
| title_short |
A note on asymptotic stability of delay difference systems |
| title_full |
A note on asymptotic stability of delay difference systems |
| title_fullStr |
A note on asymptotic stability of delay difference systems |
| title_full_unstemmed |
A note on asymptotic stability of delay difference systems |
| title_sort |
note on asymptotic stability of delay difference systems |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2005-01-01 |
| description |
<p/> <p>For the linear delay difference system <inline-formula><graphic file="1029-242X-2005-764965-i1.gif"/></inline-formula>, where <inline-formula><graphic file="1029-242X-2005-764965-i2.gif"/></inline-formula> is a <inline-formula><graphic file="1029-242X-2005-764965-i3.gif"/></inline-formula> real constant matrix and <inline-formula><graphic file="1029-242X-2005-764965-i4.gif"/></inline-formula> is a nonnegative integer, we present an explicit necessary and sufficient condition for the asymptotic stability of the zero solution of this system in terms of <inline-formula><graphic file="1029-242X-2005-764965-i5.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2005-764965-i6.gif"/></inline-formula>, and the delay <inline-formula><graphic file="1029-242X-2005-764965-i7.gif"/></inline-formula>.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2005/764965 |
| work_keys_str_mv |
AT matsunagahideaki anoteonasymptoticstabilityofdelaydifferencesystems AT matsunagahideaki noteonasymptoticstabilityofdelaydifferencesystems |
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1716777444116004864 |