Example of how to use ODE23 in MATLAB: make two files
such as call_plant.m and plant.m as shown below, where
plant is a simple double integrator.
At the MATLAB prompt, type: "call_plant"
% call_plant.m
x0 = [-1 2];
[T,x]=ode23('plant', [0 20], x0);
% plant.m
function [xdot] = plant(t,x)
xdot(1) = x(2);
xdot(2) = -1;
xdot = xdot';