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Optimal control problems for semilinear evolution equations

김진란|노현희|정진문
대한수학회 (The Korean Mathematical Society)|2008.05|대한수학회지 (Journal of the KMS)|제45권 제3호|pp. 757-769

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참고문헌

키워드

cost functionnonlinear evolution equationadmissible controltime optimal control
주제분류수학

초록

This paper deals with the existence of optimal controls and maximal principles for semilinear evolution equations with the nonlinear term satisfying Lipschitz continuity. We also present the necessary conditions of optimality which are described by the adjoint state corresponding to the linear equations without a condition of differentiability for nonlinear term.

Abstract

This paper deals with the existence of optimal controls and maximal principles for semilinear evolution equations with the nonlinear term satisfying Lipschitz continuity. We also present the necessary conditions of optimality which are described by the adjoint state corresponding to the linear equations without a condition of differentiability for nonlinear term.

참고문헌 (9)

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  3. B. Blackadar, "K-Theory for Operator Algebras, Mathematical Sciences Research Institute Publications", pp.5~ (1986), Springer-Verlag
  4. G. Di Blasio, "L2-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives", Journal of Mathematical Analysis and Applications, 102(1), pp.38~57 (1984)
  5. J. M. Jeong, "Approximate controllability for semilinear retarded functional-differential equations", Journal of Dynamical and Control Systems, 5(3), pp.329~346 (1999)
  6. S. Nakagiri, "Optimal control of linear retarded systems in Banach spaces", Journal of Mathematical Analysis and Applications, 120(1), pp.169~210 (1986)
  7. N. S. Papageorgiou, "Existence of optimal controls for nonlinear systems in Banach spaces", Journal Optimization Theory & Applications, 53(3), pp.451~459 (1987)
  8. N. S. Papageorgiou, "On the optimal control of strongly nonlinear evolution equations", Journal of Mathematical Analysis and Applications, 164(1), pp.83~103 (1992)
  9. H. Tanabe, "Equations of Evolution, Monographs and Studies in Mathematics", pp.6~ (1979), Pitman

관련 논문AI추천

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