Lecture 15: DC Or Static Gain Matrix

author: Stephen P. Boyd, Department of Electrical Engineering, Stanford University
published: May 31, 2010,   recorded: September 2007,   views: 3215
released under terms of: Creative Commons Attribution Non-Commercial (CC-BY-NC)

Related Open Educational Resources

Related content

Report a problem or upload files

If you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
Lecture popularity: You need to login to cast your vote.


So what this describes is it actually describes the system, what relates the inputs to the outputs under static conditions. That is exactly what this does, so if you have static conditions, that means u, y, and x are all constant. Then of course, you have x dot and in that case is zero; x is constant. See if zero = A + Bu, y = Cx + Du and if you eliminate x from these equations by solving for x = minus A inverse Bu here and you plug that in here, you get this. Okay? So this is assuming A is invertible here, so this is what it describes. ...

See the whole transcript at Introduction to Linear Dynamical Systems - Lecture 15

Link this page

Would you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !

Write your own review or comment:

make sure you have javascript enabled or clear this field: