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Mathematics LibreTexts

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.

Do This

Review Chapter 9 in the Boyd and Vandenberghe text and become familiar with the contents and the basic terminology.


This page titled 31.1: Linear Dynamical Systems is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Dirk Colbry via source content that was edited to the style and standards of the LibreTexts platform.

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