The Analytic Solutions of the Homogeneous Modified Algebraic Riccati Equation

doi:10.1109/TAC.2017.2697076

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	The Analytic Solutions of the Homogeneous Modified Algebraic Riccati Equation
	Zhang, Liangyin 1; Chen, Michael Z. Q.1; Li, Chanying2
刊名	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
	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
DOI	10.1109/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
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000408569300055
内容类型	期刊论文
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.