 
Summary: Basics & Representations
The Behavioral Description of Linear
Timeinvariant Systems
Jan Willem Polderman
Department of Applied Mathematics
University of Twente
September 7, 2009
Basics & Representations
Outline
Basic definitions and the calculus of representations
Basics & Representations
Definition
A mathematical model is a pair (U, B) with U a set, called the
universumits elements are called outcomesand B a
subset of U, called the behavior.
Example
U ={ice, water, steam} × [273, ) and B = (({ice} ×
[273, 0]) ({water } × [0, 100]) ({steam} × [100, )).
Basics & Representations
Definition
