Find an equilibrium point for a single water tank with inflow and outflow:
Linearize a model around an equilibrium point:
Linearize around an equilibrium point and analyze the stability:
Design a PI controller for keeping the level in a tank with inflow and outflow constant:
Find the equilibrium where the level
is constrained to be
:
Linearize and close the loop around a PI controller:
Show the closed-loop step response for a family of PI controllers:
Simple pendulum swinging through any angle:
Equilibrium with the pendulum hanging straight down:
Pendulum standing straight up above its axis:
Level curves of the first integral give the potential energy of the system:
The pendulum has one stable and two unstable equilibrium points:
is used. 
will attempt to find a local equilibrium point. In general, many equilibrium points may exist for a system.
uses Modelica-like symbols for variable names:
to get generic variable names:
, 
for an ODE 
satisfy 
: 
and 
: 
: 
EXAMPLES
Basic Examples 
Scope 