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

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

Book ID
120729654
Publisher
SP Versita
Year
2013
Tongue
English
Weight
275 KB
Volume
16
Category
Article
ISSN
1311-0454

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On the asymptotic stability of linear sy
On the asymptotic stability of linear system of fractional-order difference equations
✍ Abu-Saris, Raghib (author);Al-Mdallal, Qasem (author) πŸ“‚ Article πŸ“… 2013 πŸ› SP Versita 🌐 English βš– 275 KB

Abstract In this paper we investigate the stability of the equilibrium solution of the Ξ½th 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 co