This paper deals with the estimation of a robust domain of attraction for nonlinear systems with structured uncertainties. For this goal a piecewise constant parameter-dependent Lyapunov function is used. This type of a Lyapunov function is based on dividing the uncertainty bounding set into a "nite
Construction of Estimation Regions for the Parameters of Explicit Functional Relationships
β Scribed by Prof. Dr. rer. nat. habil. H. Bandemer; Dr. rer. nat. S. Schmerling
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 348 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
β¦ Synopsis
Assuming that rmme explicit functioiial relationship acts as a mathematical model we consider the case that we are given a finite eet of hypercuboids, each of which contains at least one point of the true functional relationship with a certain given probability. We preaent a procedure to construct sets for the unknown parameters and probabilities for the event that those contain the true parameter value. The procedure is illuetrated by an example from pharmaceutical technology.
π SIMILAR VOLUMES
## The parameters of the function f(t) =c(e-& -e -\* l ) are related in a simple way to the moments I t Y ( t ) dt (n =0, 1 , 2 ) . Using empirical values of I, the moments can be estimated by numerical -0 integration. Therefrom estimates of the parameters are obtained by elementary algebra.
Combining the conoepta of interval arithmetic and fuzzy theory the observations to identify some explicit functional relationship are assumed to be fuzzy sets given by the threshold seta of their membership function, which have contours suitable for the application of interval arithmetic prooedures.
In almost every work on fuzzy sets, the existence of membership functions taking part in the considered model is assumed and it is not studied in depth whether or not such functions exist. On the other hand, generally the relationship between a certain studied characteristic and its referential set