Science in China Series F: Information Sciences

, Volume 52, Issue 11, pp 2045–2052 | Cite as

Exact controllability for singular distributed parameter system in Hilbert space

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Abstract

Exact controllability of singular distributed parameter control system is discussed via functional analysis and the theory of generalized operator semi-group in Hilbert space. Necessary and sufficient conditions concerning the exact controllability are given. Relations between exact controllability and stability of singular distributed parameter system are specified.

Keywords

exact controllability singular distributed parameter system Hilbert space 
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© Science in China Press and Springer Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of Applied MathematicsXi’an Jiaotong UniversityXi’anChina
  2. 2.Institute of Systems Science, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina

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