Approximate controllability of semilinear neutral evolution systems with delay

  • Xianlong Fu*
  • , Jianhai Lu
  • , Yuncheng You
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

This paper considers the approximate controllability for a class of neutral control systems governed by semilinear neutral delayed equations.Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using resolvent condition, Banach contraction mapping principle and techniques on fractional power operators. The obtained results improve some existing analogous ones on this topic to some extent. An example is presented finally to illustrate the applications of the obtained results.

Original languageEnglish
Pages (from-to)665-681
Number of pages17
JournalInternational Journal of Control
Volume87
Issue number4
DOIs
StatePublished - 3 Apr 2014

Keywords

  • Approximate controllability
  • C0-semigroup
  • Fractional power operator
  • Fundamental solution
  • Neutral system

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