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Isolated nonnegative solutions of infinite-dimensional algebraic Riccati equations
Gao, MC; Hou, JC
1999-07-26
发表期刊SYSTEMS & CONTROL LETTERS
ISSN0167-6911
卷号37期号:4页码:229-236
摘要For an infinite-dimensional continuous (or discrete)-time linear system, based on the study of the representation of nonnegative solutions of the algebraic Riccati equation (ARE), we get some sufficient and necessary conditions for a nonnegative solution of(ARE) to be isolated in the set of all nonnegative solution of (ARE) with respect to the norm topology, the strong operator topology and weak operator topology, respectively. (C) 1999 Elsevier Science B.V. All rights reserved.
关键词infinite-dimensional spaces continuous time linear systems discrete-time linear systems algebraic Riccati equations isolated nonnegative solutions invariant subspaces
语种英语
WOS研究方向Automation & Control Systems ; Operations Research & Management Science
WOS类目Automation & Control Systems ; Operations Research & Management Science
WOS记录号WOS:000165573200005
出版者ELSEVIER SCIENCE BV
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/14289
专题中国科学院数学与系统科学研究院
通讯作者Gao, MC
作者单位1.Shanxi Teachers Univ, Dept Math, Linfen, Shanxi, Peoples R China
2.Chinese Acad Sci, Inst Math, Beijing, Peoples R China
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GB/T 7714
Gao, MC,Hou, JC. Isolated nonnegative solutions of infinite-dimensional algebraic Riccati equations[J]. SYSTEMS & CONTROL LETTERS,1999,37(4):229-236.
APA Gao, MC,&Hou, JC.(1999).Isolated nonnegative solutions of infinite-dimensional algebraic Riccati equations.SYSTEMS & CONTROL LETTERS,37(4),229-236.
MLA Gao, MC,et al."Isolated nonnegative solutions of infinite-dimensional algebraic Riccati equations".SYSTEMS & CONTROL LETTERS 37.4(1999):229-236.
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