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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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2005-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2005/764965 |
| Summary: | <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> |
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| ISSN: | 1025-5834 1029-242X |