Geodesic
Stability of nonlinear $h$-difference systems with $n$ fractional orders
Kybernetika, Tome 51 (2015) no. 1, pp. 112-136.

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In the paper we study the subject of stability of systems with $h$-differences of Caputo-, Riemann-Liouville- and Grünwald-Letnikov-type with $n$ fractional orders. The equivalent descriptions of fractional $h$-difference systems are presented. The sufficient conditions for asymptotic stability are given. Moreover, the Lyapunov direct method is used to analyze the stability of the considered systems with $n$-orders.
DOI : 10.14736/kyb-2015-1-0112
Classification : 39A13, 93Dxx
Keywords: fractional difference systems; difference operators; stability 
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     title = {Stability of nonlinear $h$-difference systems with $n$ fractional orders},
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     pages = {112--136},
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Wyrwas, Małgorzata; Pawluszewicz, Ewa; Girejko, Ewa. Stability of nonlinear $h$-difference systems with $n$ fractional orders. Kybernetika, Tome 51 (2015) no. 1, pp. 112-136. doi : 10.14736/kyb-2015-1-0112. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-1-0112/

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