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		Xin YU,Chao XU.[en_title][J].Control Theory and Technology,2005,3(2):186~188.[Copy]

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XinYU,ChaoXU
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Received:October 18, 2004Revised:April 10, 2005

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Approximate controllability of infinite dimensional linear systems in nonreflexive state spaces

Xin YU, Chao XU

(Laboratory of Information and Optimization Technologies,Ningbo Insti tute of Technology,Zhejiang University,Ningbo Zhejiang 315104,China; Department of Mathematics,Zhejiang University,Hangzhou Zhejiang 310027,China)

Abstract:

This paper deals with th e problem of approximate controllability of infinite di mensional linear systems in nonreflexive state spaces. A necessary and sufficient condition for approximate controllability via L~p[KG*1/3]p([0,T],U),1≤p<∞ is obtain ed,where L~p[KG*1/3]p([0,T],U) is the control function space.

Key words: Approximate controllability Exact controllability Reflexive space C_0-semigroup