On the asymptotic stability of linear system of fractional-order difference equations

✍ Scribed by Abu-Saris, Raghib (author);Al-Mdallal, Qasem (author)

• Book ID: 120729656
• Publisher: SP Versita
• Year: 2013
• Tongue: English
• Weight: 275 KB
• Volume: 16
• Category: Article
• ISSN: 1311-0454
• DOI: 10.2478/s13540-013-0039-2

✦ Synopsis

Abstract
In this paper we investigate the stability of the equilibrium solution of the νth order linear system of difference equations $(\Delta _{a + \nu - 1}^\nu y)(t) = \Lambda y(t + \nu - 1);t \in \mathbb{N}_a ,a \in \mathbb{R},and\Lambda \in \mathbb{R}^{p \times p} ,$ subject to the initial condition $y(a + \nu - 1) = y - 1,$, where 0 < ν < 1 and y−1 ∈ ℝp.