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Stability of nonlinear h -difference systems with n fractional orders

Małgorzata WyrwasEwa PawluszewiczEwa Girejko — 2015

Kybernetika

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.

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