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Asymptotic stability for a linear difference equation with variable delay

✍ Scribed by J.S. Yu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
322 KB
Volume
36
Category
Article
ISSN
0898-1221

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✦ Synopsis

We shall obtain sufficient conditions for the uniform stability and the global asymptotic stability of the linear difference equation with variable delay

where {Pn} is a sequence of nonnegative real numbers, {kn} is a sequence of nonnegative integers, and there exists a nonnegative integer k such that kn _< k, for n E N. ~

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In this paper, we give sufficient conditions under which every solution of the nonlinear difference equation with variable delay tends to zero as n --+ c<). Here, {Pn} is a nonnegative sequence, f : R --+ R is a continuous function with xf(x) > 0 if x ~ 0, and g : N --~ Z is nondecreasing and satis

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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 an