Optimization and identification of nonlinear uncertain systems

Jong Yeoul Park; Yong Han Kang; Il Hyo Jung

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 4, page 861-879
  • ISSN: 0011-4642

Abstract

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In this paper we consider the optimal control of both operators and parameters for uncertain systems. For the optimal control and identification problem, we show existence of an optimal solution and present necessary conditions of optimality.

How to cite

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Park, Jong Yeoul, Kang, Yong Han, and Jung, Il Hyo. "Optimization and identification of nonlinear uncertain systems." Czechoslovak Mathematical Journal 53.4 (2003): 861-879. <http://eudml.org/doc/30820>.

@article{Park2003,
abstract = {In this paper we consider the optimal control of both operators and parameters for uncertain systems. For the optimal control and identification problem, we show existence of an optimal solution and present necessary conditions of optimality.},
author = {Park, Jong Yeoul, Kang, Yong Han, Jung, Il Hyo},
journal = {Czechoslovak Mathematical Journal},
keywords = {optimal control; Galerkin method; nonlinear systems; identification problem; necessary condition; optimal control; Galerkin method; nonlinear systems; identification problem; necessary condition},
language = {eng},
number = {4},
pages = {861-879},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Optimization and identification of nonlinear uncertain systems},
url = {http://eudml.org/doc/30820},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Park, Jong Yeoul
AU - Kang, Yong Han
AU - Jung, Il Hyo
TI - Optimization and identification of nonlinear uncertain systems
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 861
EP - 879
AB - In this paper we consider the optimal control of both operators and parameters for uncertain systems. For the optimal control and identification problem, we show existence of an optimal solution and present necessary conditions of optimality.
LA - eng
KW - optimal control; Galerkin method; nonlinear systems; identification problem; necessary condition; optimal control; Galerkin method; nonlinear systems; identification problem; necessary condition
UR - http://eudml.org/doc/30820
ER -

References

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  9. 10.1016/0022-247X(92)90146-5, J.  Math. Anal. Appl. 164 (1992), 83–103. (1992) MR1146577DOI10.1016/0022-247X(92)90146-5
  10. Identification problem for damping parameters in linear damped second order systems, J.  Korean Math. Soc. 34 (1997), 895–909. (1997) MR1485958
  11. Optimization and identification of nonlinear systems on Banach space, Indian J.  Pure Appl. 32 (2001), 633–647. (2001) MR1839749
  12. Optimal control problem for the nonlinear hyperbolic systems, RIMS Kokyuroku 1187 (2001), 27–36. (2001) MR1842642
  13. Nonlinear functional analysis and its applications, II, Springer-Verlag, New York, 1990. (1990) Zbl0684.47029MR0816732

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