Name
Abstract | ||
|---|---|---|
Purpose - The purpose of this paper is to prove that under sufficient conditions the linearization method used for identifying a nonlinear bicompartmental system is stable. Design/methodology/approach - The problem of identifying a nonlinear compartmental system appears as badly stated a priori. In fact the problem is not to identify the general behavior law of exchange between compartments, but to assume these laws known such as in Michaelis-Menten systems or in polynomial compartmental systems with coefficients that need to be identified. It has been proved previously that with a linearization method an approximation call be obtained to the identification of these nonlinear systems. To Validate this method, a stability study is necessary. Findings - Sufficient conditions are established for the evolution law of a nonlinear bicompartmental system under which the linearization method is stable, and an upper bound is given on the approximation error - with an application, in the last section to the case of an open Michaelis-Menten system. Originality/value - The paper is of value in establishing sufficient conditions about the evolution law of a nonlinear System in order to show that this method is stable and to give an upper bound on the approximation error. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1108/03684920910962641 | KYBERNETES |
Keywords | Field | DocType |
Cybernetics,Numerical analysis,Modelling,Linear structure equation modelling | Mathematical optimization,Nonlinear system,Polynomial,Control theory,Upper and lower bounds,A priori and a posteriori,Feedback linearization,Numerical analysis,Approximation error,Linearization,Mathematics | Journal |
Volume | Issue | ISSN |
38 | 5 | 0368-492X |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Belkhaled Hebri | 1 | 0 | 0.34 |
| Salim Khelifa | 2 | 0 | 0.68 |
| Y. Cherruault | 3 | 20 | 6.08 |