Solving inverse problems of identification type by optimal control methods
- Univ. of Tennessee, Knoxville, TN (United States). Mathematics Dept.
- Oak Ridge National Lab., TN (United States)
- Fudan Univ., Shanghai (China). Mathematics Dept.
Inverse problems of identification type for nonlinear equations are considered within the framework of optimal control theory. The rigorous solution of any particular problem depends on the functional setting, type of equation, and unknown quantity (or quantities) to be determined. Here the authors present only the general articulations of the formalism. Compared to classical regularization methods (e.g. Tikhonov coupled with optimization schemes), their approach presents several advantages, namely: (i) a systematic procedure to solve inverse problems of identification type; (ii) an explicit expression for the approximations of the solution; and (iii) a convenient numerical solution of these approximations.
- Research Organization:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research, Washington, DC (United States)
- DOE Contract Number:
- AC05-96OR22464
- OSTI ID:
- 485983
- Report Number(s):
- CONF-970728-1; ON: DE97006442; TRN: 97:003961
- Resource Relation:
- Conference: International conference on applied nonlinear dynamics and stochastic systems near the millenium, San Diego, CA (United States), 7-11 Jul 1997; Other Information: PBD: 1997
- Country of Publication:
- United States
- Language:
- English
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