| Title:
|
Optimization and identification of nonlinear uncertain systems (English) |
| Author:
|
Park, Jong Yeoul |
| Author:
|
Kang, Yong Han |
| Author:
|
Jung, Il Hyo |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
861-879 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
optimal control |
| Keyword:
|
Galerkin method |
| Keyword:
|
nonlinear systems |
| Keyword:
|
identification problem |
| Keyword:
|
necessary condition |
| MSC:
|
34G20 |
| MSC:
|
49J20 |
| MSC:
|
49K20 |
| MSC:
|
49K24 |
| MSC:
|
49M30 |
| MSC:
|
93B30 |
| idZBL:
|
Zbl 1080.49500 |
| idMR:
|
MR2018835 |
| . |
| Date available:
|
2009-09-24T11:07:14Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127845 |
| . |
| Reference:
|
[1] N. U. Ahmed: Optimization and Identification of Systems Governed by Evolution Equations on Banach Space. Pitman Res. Notes Math. Ser. 184.Longman, Harlow, 1988. MR 0982263 |
| Reference:
|
[2] N. U. Ahmed: Optimal control of infinite-dimensional systems governed by functional differential inclusions.Disc. Math. Diff. Inclusions 15 (1995), 75–94. Zbl 0824.49007, MR 1344529 |
| Reference:
|
[3] N. U. Ahmed and K. L. Teo: Optimal Control of Distributed Parameter Systems.North-Holland, Amsterdam, 1981. MR 0624064 |
| Reference:
|
[4] N. U. Ahmed and X. Xing: Nonlinear uncertain systems and necessary conditions of optimality.SIAM J. Control Optim. 35 (1997), 1755–1772. MR 1466926, 10.1137/S0363012995285569 |
| Reference:
|
[5] V. Barbu: Analysis and Control of Nonlinear Infinite Dimensional Systems.Academic press, INC, Boston-Sandiego-New York-London-Sydney-Tokyo-Toronto, 1993. Zbl 0776.49005, MR 1195128 |
| Reference:
|
[6] R. Dautray and J. L. Lions: Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 5.Springer-Verlag, Berlin-Heidelberg, 1992. MR 1156075 |
| Reference:
|
[7] N. U. Papageorgionu: Nonlinear Volterra integrodifferential evolution inclusions and optimal control.Kodai Math. J. 14 (1991), 254–280. MR 1123420, 10.2996/kmj/1138039398 |
| Reference:
|
[8] N. U. Papageorgionu: Identification of parameters in systems governed by nonlinear evolution equations.Publ. Math. Debrecen 46 (1995), 215–237. MR 1336366 |
| Reference:
|
[9] N. U. Papageorgionu: On the optimal control of strongly nonlinear evolution equations.J. Math. Anal. Appl. 164 (1992), 83–103. MR 1146577, 10.1016/0022-247X(92)90146-5 |
| Reference:
|
[10] J. Y. Park, J. H. Ha and H. K. Han: Identification problem for damping parameters in linear damped second order systems.J. Korean Math. Soc. 34 (1997), 895–909. MR 1485958 |
| Reference:
|
[11] J. Y. Park, Y. H. Kang and I. H. Jung: Optimization and identification of nonlinear systems on Banach space.Indian J. Pure Appl. 32 (2001), 633–647. MR 1839749 |
| Reference:
|
[12] J. Y. Park, Y. H. Kang and M. J. Lee: Optimal control problem for the nonlinear hyperbolic systems.RIMS Kokyuroku 1187 (2001), 27–36. MR 1842642 |
| Reference:
|
[13] E. Zeidler: Nonlinear functional analysis and its applications, II.Springer-Verlag, New York, 1990. Zbl 0684.47029, MR 0816732 |
| . |
