标题：Sensitivity Function of LTI Fractional Order Dynamic Systems with Respect to the Orders
作者：Li, Yan; Xue, Dingyue; Chen, YangQuan
作者机构：[Li, Yan] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China.; [Xue, Dingyue] Northeastern Univ, Sch Informat Sci & Engn 更多
会议名称：American Control Conference
会议日期：JUN 30-JUL 02, 2010
来源：2010 AMERICAN CONTROL CONFERENCE
摘要：Many real natural or man-made dynamic systems can be better characterized using a fractional order dynamic model. Since in such a case the order assumes a non-integer value, it is of interest to consider the effect of small perturbation around the nominal value. It is of practical importance to analyze the influence of the order variations on the system behavior. This paper establishes an analytical method for the analysis of the sensitivity function of LTI fractional order dynamic systems with respect to the orders. The continuous dependent condition of the orders of fractional Green's function is derived, which is proved as a necessary and sufficient condition. The singularity of fractional Green's functions is discussed. Several examples are included for illustration.