标题：CONTROLLABILITY OF CONTEXT-SENSITIVE PROBABILISTIC MIX-VALUED LOGICAL CONTROL NETWORKS WITH CONSTRAINTS
作者：Liu, Zhenbin;Wang, Yuzhen;Li, Haitao
作者机构：[Liu, Z] School of Control Science and Engineering, Shandong University, Jinan, 250061, China, Science and Information College, Qingdao Agricultural U 更多
会议名称：10th IEEE International Conference on Control and Automation (IEEE ICCA)
会议日期：JUN 12-14, 2013
来源：Asian Journal of Control: Affiliated with ACPA, the Asian Control Professors\' Association
关键词：Controllability;context-sensitive probabilistic mix-valued logical network;constraint;transition matrix;semi-tensor product
摘要：This paper addresses the controllability of context-sensitive probabilistic mix-valued logical control networks with constraints on states and controls. First, using the semi-tensor product of matrices, the context-sensitive probabilistic mix-valued logical control network is expressed in an algebraic form, in which the transition matrix is given by two parts: general part and switching part. Second, the algebraic structure of system with constraints on states and controls is investigated and a new algebraic form is established to study the controllability, based on which some necessary and sufficient conditions are obtained. Finally, an illustrative example is studied to support our new results.