Bilinear state space systems for nonlinear dynamical modelling

@article{Verdult2000BilinearSS,
  title={Bilinear state space systems for nonlinear dynamical modelling},
  author={Vincent Verdult and Michel Verhaegen},
  journal={Theory in Biosciences},
  year={2000},
  volume={119},
  pages={1-9}
}
We discuss the identification of multiple input, multiple output, discrete-time bilinear state space systems. We consider two identification problems. In the first case, the input to the system is a measurable white noise sequence. We show that it is possible to identify the system by solving a nonlinear optimization problem. The number of parameters in this optimization problem can be reduced by exploiting the principle of separable least squares. A subspace-based algorithm can be used to… CONTINUE READING