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Stability in discrete equations with variable delays

By Ernest Yankson

Abstract

In this paper we study the stability of the zero solution of difference equations with variable delays. In particular we consider the scalar delay equation and its generalization ∆x(n) = −a(n)x(n − τ(n)) ∆x(n) = − N∑ aj(n)x(n − τj(n)). j=1 Fixed point theorems are used in the analysis

Topics: Key words, Fixed point, Contraction mapping, Asymptotic stability
Year: 2014
OAI identifier: oai:CiteSeerX.psu:10.1.1.417.3983
Provided by: CiteSeerX
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