Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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APPROXIMATE CONTROLLABILITY AND REGULARITY FOR SEMILINEAR RETARDED CONTROL SYSTEMS

  • Jeong, Jin-Mun (Division of Mathematical Sciences, Pukyong National University)
  • Published : 2002.12.01

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Abstract

We deal with the approximate controllability for semilinear systems with time delay in a Hilbert space. First, we show the existence and uniqueness of solutions of the given systems with the mere general Lipschitz continuity of nonlinear operator f from $R\;\times\;V$ to H. Thereafter, it is shown that the equivalence between the reachable set of the semilinear system and that of its corresponding linear system. Finally, we make a practical application of the conditions to the system with only discrete delay.

Keywords

References

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