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The Analytic Solutions of the Homogeneous Modified Algebraic Riccati Equation

文献类型：期刊论文

作者Zhang, Liangyin1; Chen, Michael Z. Q.1; Li, Chanying2
刊名IEEE TRANSACTIONS ON AUTOMATIC CONTROL
出版日期2017-09-01
卷号62期号:9页码:4834-4839
关键词Analytic solution quantized control Riccati equation solution bound stabilizing solution
ISSN号0018-9286
DOI10.1109/TAC.2017.2697076
英文摘要In this note, a discrete-time modified algebraic Riccati equation (MARE) is investigated. First, the analytic solutions of the homogeneous MARE for controllable single-input systems are explicitly obtained in terms of the system eigenvalues. For anti-Schur systems, the stabilizing, and positive definite solution is proposed. Furthermore, the maximal solution and the solution bound are analyzed for the nonhomogeneous MARE.
资助项目National Natural Science Foundation of China[61374053] ; National Natural Science Foundation of China[61422308]
WOS研究方向Automation & Control Systems ; Engineering
语种英语
WOS记录号WOS:000408569300055
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26495]  
专题系统科学研究所
通讯作者Chen, Michael Z. Q.
作者单位1.Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100090, Peoples R China
推荐引用方式
GB/T 7714		 Zhang, Liangyin,Chen, Michael Z. Q.,Li, Chanying. The Analytic Solutions of the Homogeneous Modified Algebraic Riccati Equation[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2017,62(9):4834-4839.
APA Zhang, Liangyin,Chen, Michael Z. Q.,&Li, Chanying.(2017).The Analytic Solutions of the Homogeneous Modified Algebraic Riccati Equation.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,62(9),4834-4839.
MLA Zhang, Liangyin,et al."The Analytic Solutions of the Homogeneous Modified Algebraic Riccati Equation".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 62.9(2017):4834-4839.

入库方式： OAI收割

来源：数学与系统科学研究院

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