31.1: Linear Dynamical Systems
( \newcommand{\kernel}{\mathrm{null}\,}\)
A linear dynamical system is a simple model of how a system changes with time. These systems can be represented by the following “dynamics” or “update equation”:
x(t+1)=Atxt
Where t is an integer representing th progress of time and At are an n×n matrix called the dynamics matrices. Often the above matrix does not change with t. In this case the system is called “time-invariant”.
We have seen a few “time-invarient” examples in class.
Review Chapter 9 in the Boyd and Vandenberghe text and become familiar with the contents and the basic terminology.