D. S. Cameron, J. C. Chipman, N. Kheir and M. Shillor

A new model for the stabilization of an automotive platform with a low power
active suspension is presented, analyzed and numerically simulated. The model
consists of a nonlinear coupled system of three ordinary differential equations.
The nonlinearity arises from a spring-like device with negative spring constant,
which is the heart of the new approach. The problem may have one or three steady
states. The system is numerically simulated and the results presented and analyzed.
The problem of control of the system by a displacement actuator is left open.