Identifiability of system: an algorithm based on the equivalence approach

Author

Denis-Vidal, Lilianne ; Joly-Blanchard, Ghislaine ; Noiret, Céline

Author_Institution

UFR Math(M2), Univ. of Sci. & Tech. Lille, Villeneuve d´´Ascq, France

Volume

4

fYear

2001

fDate

2001

Firstpage

3106

Abstract

The identifiability of nonlinear uncontrolled dynamical systems is analysed by using the system equivalence based on the straightening out theorem. Previously we (2000) have stated a characterization of the identifiability by considering this approach. The so-obtained identifiability necessary condition leads to the solution of partial differential equations. On the other hand, the identifiability sufficient condition may need an extra elimination. First, we elaborate the corresponding algorithm and in justifying it by some algebraic differential notions. Then its implementation is presented in a symbolic computation language

Keywords

control system analysis computing; identification; nonlinear dynamical systems; partial differential equations; symbol manipulation; differential algebra; equivalent system; identifiability; identification; nonlinear autonomous systems; nonlinear dynamical systems; nonlinear uncontrolled systems; partial differential equations; symbol manipulation; Algebra; Algorithm design and analysis; Bismuth; Character generation; Control systems; Nonlinear control systems; Nonlinear dynamical systems; Partial differential equations; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980294

Filename

980294