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Asymptotic Stability Condition for a Class of Linear Delay Difference Equations of Higher Order

✍ Scribed by Ryuzou Ogita; Hideaki Matsunaga; Tadayuki Hara


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
102 KB
Volume
248
Category
Article
ISSN
0022-247X

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✦ Synopsis


In this paper we obtain a necessary and sufficient condition for the asymptotic stability of the zero solution of the linear delay difference equation N x y x q p x s 0, n s 0, 1, 2, . . . , Ý nq 1 n n ykqŽ jy1.l js1 by using root-analysis for the characteristic equation. Here, p is a real number and Ž . k, l, and N are positive integers with k ) N y 1 l.


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