标题：Nonsingularity of nonlinear feedback shift registers
作者：Zhenbin, Liu ;Yuzhen, Wang ;Yige, Zhao
作者机构：[Zhenbin, Liu ] Science and Information College, Qingdao Agricultural University, Qingdao; 266109, China;[Zhenbin, Liu ;Yuzhen, Wang ;Yige, Zhao ] Sch 更多
会议名称：Proceedings of the 33rd Chinese Control Conference, CCC 2014
会议日期：28 July 2014 through 30 July 2014
来源：Proceedings of the 33rd Chinese Control Conference, CCC 2014
关键词：Cycle; Nonlinear feedback shift register; Nonsingularity; 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. © 2014 TCCT, CAA.