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
	2017-09-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	62 期号:9 页码:4834-4839
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.
关键词	Analytic solution quantized control Riccati equation solution bound stabilizing solution
DOI	10.1109/TAC.2017.2697076
语种	英语
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
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000408569300055
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26496
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.