Weakly nonlinear second-order dynamical systems identification using a random parameters linear model
Soize, Christian ; Le Fur, O.
HAL, hal-00770028 / Harvested from HAL
Text on HAL
The objective of this paper is to present an identification procedure which is based on the use of a stochastic linearization method with random coefficients. The model is then defined as a multidimensional linear second-order dynamical system with random coefficients. An optimization procedure is developed to identify the parameters of the probability law of the random coefficients. The identification procedure is described step by step. Finally, an example is presented and shows the interest of the method proposed.
Publié le : 1997-07-05
Classification:  random parameters,  identification,  nonlinear dynamical system,  [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph],  [PHYS.MECA.VIBR]Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph],  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR],  [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST] 
@article{hal-00770028,
     author = {Soize, Christian and Le Fur, O.},
     title = {Weakly nonlinear second-order dynamical systems identification using a random parameters linear model},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00770028}
}

Soize, Christian; Le Fur, O. Weakly nonlinear second-order dynamical systems identification using a random parameters linear model. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00770028/