Results for an optimal control problem with a semilinear state equation with constrained control

Nataša Bilić

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 1, page 109-126
  • ISSN: 0232-0525

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Bilić, Nataša. "Results for an optimal control problem with a semilinear state equation with constrained control." Mathematica Slovaca 52.1 (2002): 109-126. <http://eudml.org/doc/34549>.

@article{Bilić2002,
author = {Bilić, Nataša},
journal = {Mathematica Slovaca},
keywords = {optimal control problem; semilinear equation; constrained control; Hamilton-Jacobi equation},
language = {eng},
number = {1},
pages = {109-126},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Results for an optimal control problem with a semilinear state equation with constrained control},
url = {http://eudml.org/doc/34549},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Bilić, Nataša
TI - Results for an optimal control problem with a semilinear state equation with constrained control
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 1
SP - 109
EP - 126
LA - eng
KW - optimal control problem; semilinear equation; constrained control; Hamilton-Jacobi equation
UR - http://eudml.org/doc/34549
ER -

References

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  1. BARBU V., DA PRATO G., Hamilton-Jacobi Equation in Hilbert Space, Pitman, Boston, MA, 1982. (1982) 
  2. GOZZI F., Some results for an optimal control problem with semilinear state equation, SIAM J. Control Optim. 29 (1991), 751-786. (1991) Zbl0736.49016MR1111658
  3. MCRANDAL G., LIONS P. L., Hamilton-Jacobi in infinite dimension. Unisequencess of viscosity solutions, J. Funct. Anal. 62 (1985), 379-396. (1985) MR0794776
  4. CRANDAL M. G., LIONS P. L., Hamilton-Jacobi in infinite dimension, Part III, J. Funct. Anal. 66 (1986), 214-247. (1986) MR0852660
  5. DI BLASIO G., Global solutions for a class Hamilton-Jacobi equation in Hilbert spaces, Numer. Funct. Anal. Optim. 261-300, 1985. (1985) MR0876242
  6. EKELAND I., TEMAM R., Convex Analysis and Variational problems, Stud. Math. Appl., North-Holland, Amsterdam, 1976. (1976) Zbl0322.90046MR0463994
  7. PRITCHARD A. J., ZABCYK J., Stability and stabilizability of infinite dimensional system, SIAM Rev. 23 (1981), 25-52. (1981) MR0605439
  8. BUCH B. C., A semigroup treatment of the Hamilton-Jacobi equation in several space variables, J. Differential Equations 23 (1977), 102-124. (1977) MR0440183
  9. CRANDALL M. G., LIONS P. L., Condition ďUnicite pour les solutions generalisees des equations de Hamilton-Jacobi equations du ler ordre, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), 183-186. (1981) MR0610314
  10. BARBU V., DA PRATO G., POPA C., Existence and uniqueness of the dynamic programming equation, Nonlinear Anal. 7 (1983), 283-299. (1983) Zbl0508.49024MR0693446
  11. BARBU V., DA PRATO G., A note on a Hamilton-Jacobi equation in Hilbert space, Nonlinеar Anal. 9 (1985), 1337-1345. (1985) Zbl0627.35013MR0820645

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