Approximate controllability of infinite dimensional linear systems in nonreflexive state spaces
This paper deals with the problem of approximate controllability of infinite dimensional linear systems in nonreflexive state spaces. A necessary and sufficient condition for approximate controllability via L^p（[0, T], U）, 1≤p〈∞ is obtained,where L^p（ [0, T], U） is the control function space....
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| Published in: | Journal of control theory and applications Vol. 3; no. 2; pp. 186 - 188 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Laboratory of Information and Optimization Technologies,Ningbo Institute of Technology,Zhejiang University,Ningbo Zhejiang 315104,China%Department of Mathematics,Zhejiang University,Hangzhou Zhejiang 310027,China
01.05.2005
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| ISSN: | 1672-6340, 1993-0623 |
| Online Access: | Get full text |
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| Abstract | This paper deals with the problem of approximate controllability of infinite dimensional linear systems in nonreflexive state spaces. A necessary and sufficient condition for approximate controllability via L^p（[0, T], U）, 1≤p〈∞ is obtained,where L^p（ [0, T], U） is the control function space. |
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| AbstractList | This paper deals with the problem of approximate controllability of infinite dimensional linear systems in nonreflexive state spaces. A necessary and sufficient condition for approximate controllability via Lp([0, T], U), 1 < or = p < (infinity) is obtained, where Lp( [0, T], U) is the control function space. TP13%TL361; This paper deals with the problem of approximate controllability of infinite dimensional linear systems in nonreflexive state spaces.A necessary and sufficient condition for approximate controllability via Lp([0,T],U),1≤p<∞ is obtained,where Lp([0,T],U) is the control function space. This paper deals with the problem of approximate controllability of infinite dimensional linear systems in nonreflexive state spaces. A necessary and sufficient condition for approximate controllability via L^p（[0, T], U）, 1≤p〈∞ is obtained,where L^p（ [0, T], U） is the control function space. |
| Author | Xin YU Chao XU |
| AuthorAffiliation | Laboratory of Information and Optimization Technologies, Ningbo Institute of Technology, Zhejiang University, Ningbo Zhejiang 315104, China Depatment of Mathematics, Zhejiang University, Hangzhou Zhejiang 310027, China |
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| Cites_doi | 10.1016/S0167-6911(01)00177-3 10.1007/978-1-4612-5561-1 10.3934/dcds.1999.5.663 10.1090/surv/015 10.1023/A:1009721915101 10.1007/978-3-642-61859-8 10.1007/978-1-4612-4224-6 10.1137/1020095 10.1137/S0363012996291616 10.1007/BFb0006761 |
| ClassificationCodes | TP13%TL361 |
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| Keywords | Exact controllability Approximate controllability C0-semigroup Reflexive space |
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| References | D. L. Russell (14_CR4) 1978; 20 M. A. Shubov (14_CR5) 1997; 35 P. N. Chen (14_CR9) 2002; 45 A. Pazy (14_CR10) 1983 J. Diestel (14_CR12) 1977 A. Rhandi (14_CR8) 1998; 2 K. S. Liu (14_CR3) 1997; 35 R. F. Curtain (14_CR1) 1978 J. Zabczyk (14_CR6) 1992 A. Rhandi (14_CR7) 1999; 5 R. F. Curtain (14_CR2) 1995 K. Yosida (14_CR11) 1980 |
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| Snippet | This paper deals with the problem of approximate controllability of infinite dimensional linear systems in nonreflexive state spaces. A necessary and... TP13%TL361; This paper deals with the problem of approximate controllability of infinite dimensional linear systems in nonreflexive state spaces.A necessary... |
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| Title | Approximate controllability of infinite dimensional linear systems in nonreflexive state spaces |
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