标题：Nonsingularity of nonlinear feedback shift registers
作者：Liu Zhenbin; Wang Yuzhen; Zhao Yige
作者机构：[Liu Zhenbin] Qingdao Agr Univ, Sci & Informat Coll, Qingdao 266109, Peoples R China.; [Liu Zhenbin; Wang Yuzhen; Zhao Yige] Shandong Univ, Sch Cont 更多
会议名称：33rd Chinese Control Conference (CCC)
会议日期：JUL 28-30, 2014
来源：2014 33RD CHINESE CONTROL CONFERENCE (CCC)
关键词：Nonlinear feedback shift register; Nonsingularity; Cycle; Semi-tensor; product
摘要：In this paper, the multi-valued nonlinear feedback shift register is studied and a new approach is present to analyze its nonsingularity and number of cycles. First, using the semi-tensor product of matrices, the nonlinear feedback shift register is expressed in an algebraical form, based on which several necessary and sufficient conditions are given for the nonsingularity. Then, a new method is established to determine the number of cycles with different lengths for arbitrarily given feedback shift register. Finally, an illustrative example is studied to support our new results.