Title: Rank conditions for controllability of discrete fractional time-invariant linear systems
Abstract: In this paper, we give rank conditions for controllability and observability of a discrete fractional time-invariant linear system of order ν (0<ν<1). We obtain the variation of constants formula for the system of fractional difference equation Δν−1νy(t)=Ay(t+ν−1)+f(t+ν−1),t=0,1,2,…, where Δν−1ν is the Riemann-Liouville fractional difference operator. Then we state and prove the Putzer algorithm in discrete fractional calculus to calculate the discrete Mittag-Leffler function for any n×n matrix.
Publication Year: 2019
Publication Date: 2019-03-24
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 5
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