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Controllability for Semilinear Retarded Control Systems in Hilbert Spaces

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Abstract

This paper deals with well-posedness and L 2-regularity properties for a class of semilinear retarded functional differential equations. A relation between the reachable set of a semilinear system and that of the corresponding linear system is proved. We also show that the Lipschitz continuity and the uniform boundedness of the nonlinear term can be considerably weakened. Finally, a simple example is given, to which our main result can be applied.

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Authors and Affiliations

  1. Division of Mathematical Sciences, Pukyong National University, Pusan, 608-737, Korea

    Jin-Mun Jeong, Jin-Ran Kim & Hyun-Hee Roh

Authors
  1. Jin-Mun Jeong
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  2. Jin-Ran Kim
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  3. Hyun-Hee Roh
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Corresponding author

Correspondence to Jin-Mun Jeong.

Additional information

This work was supported by the Brain Korea 21 Project in 2006.

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Jeong, JM., Kim, JR. & Roh, HH. Controllability for Semilinear Retarded Control Systems in Hilbert Spaces. J Dyn Control Syst 13, 577–591 (2007). https://doi.org/10.1007/s10883-007-9024-6

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  • DOI: https://doi.org/10.1007/s10883-007-9024-6

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