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
• DOI: 10.1006/jmaa.2000.6868

✦ 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.