# Jet Engine

The Moore-Greitzer model is an attempt to model the nonlinear phenomena of rotating stall and surge in these systems using first principles. The simple model was studied in Aylward etc.’s paper [1].

## Dynamics

$$\left \{ \begin{array}{l} \dot x = -y-1.5x^2 – 0.5x^3 – 0.5 \\ \dot y = 3x-y\end{array} \right.$$

## Properties

Please see details in the attached file

## Reachtube generated by C2E2

Link to the example file: JetEngine.hyxml

Reference:

[1] E. M. Aylward, P. A. Parrilo, J.-J. E. Slotine. Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming. In Automatica Vol. 44, No.8, pages 2163-2170, Elsevier, 2008.