پایداری سیستم های خطی کسری گسسته با دستورات مثبت

The problem of the stability of the Caputo-, Riemann-Liouville- and Grünwald-Letnikov-type linear discrete-time systems with fractional positive orders is discussed. We present the method of reducing the fractional order of the considered systems by transforming them to the multi-order linear systems with the partial orders from the interval (0,1].