Remarks on Controllable Subspaces and Nearly-controllable Subspaces of Discrete-time Multi-input Bilinear Systems
作者单位：School of Automation Science and Electrical EngineeringBeihang University （Beijing University of Aeronautics and Astronautics）
会议名称：《第36届中国控制会议》
主办单位：Chinese Acad Sci;Acad Math & Syst Sci;China Soc Ind & Appl Math;Liaoning Assoc Automat;Shenyang Univ Chem Technol;Liaoning Univ Sci & Technol;Asian Control Assoc;IEEE Control Syst Soc;Inst Control Robot & Syst;Soc Instrument & Control Engineers;Chinese Assoc Automat;Tech Comm Control Theory;Syst Engn Soc China;Dalian Univ Technol
会议日期：2017年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程]
基 金：supported by the National Natural Science Foundation (NNSF) of China under Grant 61573044 the Program for Excellent Doctoral Dissertation Supervisor of Beijing under Grant 20121000602
关 键 词：Discrete-time bilinear systems Controllable subspaces Nearly-controllable subspaces
摘 要：In this paper, we consider a class of discrete-time multi-input inhomogeneous bilinear systems. Controllability and near-controllability of such systems have been well studied in our previous work, where controllable subspaces and nearlycontrollable subspaces have also been derived. We continue the study on the controllable subspaces and nearly-controllable subspaces of the systems in this paper and make some remarks. New controllable subspaces and nearly-controllable subspaces are thus derived and analyzed.