Putting 2nd Order ODE into State Space Form

F

f1player

Junior Member
Joined
Feb 25, 2005
Messages
59
Given the following: x''+2x'+5x = -z

Rewrite this equation in the state space form: x' = Ax + Bn (A and B are matrices)
And then it asks to determine the eigenvalues of the A matrix.

What I'm confused about is that in the example that the book does, they only do first order ODE's. With this second order equation am I supposed to reduce the order by saying x1 = x' ?
 
f1player said:
Given the following: x''+2x'+5x = -z

Rewrite this equation in the state space form: x' = Ax + Bn (A and B are matrices)
And then it asks to determine the eigenvalues of the A matrix.

What I'm confused about is that in the example that the book does, they only do first order ODE's. With this second order equation am I supposed to reduce the order by saying x1 = x' ? ... Yes ... sort of!!
Click to expand...

Read:

http://www1.mengr.tamu.edu/aparlos/MEEN ... eSpace.pdf
 
You must log in or register to reply here.
Top