Controllability and observability of switched Boolean control networks

作     者：Zhang, L. Feng, J. Yao, J. 

作者机构：Shandong Univ Sch Math Jinan 250100 Peoples R China 

出 版 物：《IET CONTROL THEORY AND APPLICATIONS》 (IET Control Theory Appl.)

年 卷 期：2012年第6卷第16期

页      面：2477-2484页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 0804[工学-仪器科学与技术] 0811[工学-控制科学与工程] 

基　　金：NNSF of China [60974137, 61174092, 61174141] Research Awards Yong and Middle-Aged Scienists of Shandong Province [BS2011SF009, BS2011DX019] 

主　　题：algebraic form MIS mapping switching law Time-varying control systems controllability Boolean functions model-input-state matrix Algebra observability Control system analysis and synthesis methods semitensor matrix product matrix multiplication SBCN switched Boolean control networks time-varying systems 

摘      要：The controllability and observability are investigated for a class of switched Boolean control networks (SBCNs). Using semi-tensor product of matrices, the dynamics of an SBCN can be transformed into an algebraic form. The model-input-state (MIS) matrix of an SBCN is introduced and studied for the first time. This matrix contains complete information of the MIS mapping. A necessary and sufficient condition for the controllability of SBCN is obtained. The corresponding control and switching law, which drive a point to a given reachable point are designed. A sufficient condition for the observability of an SBCN is given. Moreover, under the assumption of controllability, one necessary and sufficient condition is derived for the observability.