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The Analytic Solutions of the Homogeneous Modified Algebraic Riccati Equation
Zhang, Liangyin1; Chen, Michael Z. Q.1; Li, Chanying2
2017-09-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume62Issue:9Pages:4834-4839
AbstractIn 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.
KeywordAnalytic solution quantized control Riccati equation solution bound stabilizing solution
DOI10.1109/TAC.2017.2697076
Language英语
Funding ProjectNational Natural Science Foundation of China[61374053] ; National Natural Science Foundation of China[61422308]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000408569300055
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26496
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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