Stability conditions a class of linear delay difference systems
In this paper, we give new necessary and sufficient conditions for the asymptotic stability of a linear delay difference system: $ x_{n+1}-ax_{n}-Ax_{n-k}=0 $, where A is a $ 2\times 2 $ constant matrix, k is a nonnegative integer and a is a real number. To prove the theorems, root analysis is used...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2017-01-01
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| Series: | Cogent Mathematics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/23311835.2017.1294445 |