标题：Performance Analysis for Multi-valued Logical Networks
作者：Meng Min; Feng Jun-e
作者机构：[Meng Min; Feng Jun-e] Shandong Univ, Sch Math, Jinan 250100, Peoples R China.
会议名称：34th Chinese Control Conference (CCC)
会议日期：JUL 28-30, 2015
来源：2015 34TH CHINESE CONTROL CONFERENCE (CCC)
关键词：Input energy and output energy; internally asymptotically stable;; l(1)-gain analysis; pseudo-logical function
摘要：In this paper, the performance in the form of weighted l(1)-gain for k-valued logical control networks are defined and discussed via semi-tensor product method. First, the input energy and output energy can be described by the definition and construction of pseudo-logical functions. Along this line, the weighted l(1)-gain is introduced. In order to ensure that a k-valued logical control network is internally asymptotically stable and has an l(1)-gain no more than a given scalar, a sufficient condition is established by extending several Lyapunov results of Boolean networks to those of k-valued logical networks. Finally, an illustrative example is given to show the feasibility of the theoretical results.