# A smooth nonlinear system (2)

## Model description:

The system

\begin{align*} \dot{x}_1 & = x_4^2 + x_3^3 + u_1 + au_2 \\ \dot{x}_2 & = x_3 \\ \dot{x}_3 & = \sin{x_4}+\cos{x_1}+bu_1 + u_2 \\ \dot{x}_4 & = -x_4 \\ y_1 &= x_1 \\ y_2 &=x_2. \end{align*}

4

## Publication details:

 Title Input-output models for a class of nonlinear systems Publication Type Conference Paper Year of Publication 1997 Authors Atassi, A.N., and Khalil H.K. Conference Name Proceedings of the 36th IEEE Conference on Decision and Control, 1997. Date Published 12/1997 Publisher IEEE Conference Location San Diego, CA ISBN Number 0-7803-4187-2 Accession Number 5863848 Keywords nonlinear control systems Abstract We investigate the possibility of having an input-output model that has a specific structure for multivariable input-output linearizable systems DOI 10.1109/CDC.1997.657850