Estimation of perturbations without modeling assumptions in second-order ordinary differential equations : Notas de Matemática, 48
This paper is concerned with the estimation of a small perturbing function affecting a system of second-order ODEs, in order to get a solution of it fitting a given set of measurements. The classical approach consist of perturbation modeling and least-squares parameter specification. Alternative pro...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Publicacion seriada |
| Lenguaje: | Inglés |
| Publicado: |
1988
|
| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/170310 |
| Aporte de: |
| Sumario: | This paper is concerned with the estimation of a small perturbing function affecting a system of second-order ODEs, in order to get a solution of it fitting a given set of measurements. The classical approach consist of perturbation modeling and least-squares parameter specification. Alternative procedures are needed when no a-priori adequate perturbation model is at disposal. A general scheme for methods needing no modeling assumption is introduced and a complete error analysis of them is obtained. Tills error characterisation allows to determine methods minimising the effect of each error source; therefore, optimal schemes under different restrictions are deduced. |
|---|