Title :
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
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;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980294
