Generating State Variable Description

[hadron23]

Hello,

I came across a problem in some literature and was curious about how to solve it,

Given a system described by,

$$\ddot{y} + 2\dot{y} - 3y = \dot{u} - u$$

Convert the above into state-space form with input $$\dot{u}$$ and output y.

Define the state vector and determine the matrices A(t),B(t),C(t),D(t) such that,

$$\dot{x} = A(t)x + B(t)\dot{u}$$
$$y = C(t)x + D(t)\dot{u}$$

Any ideas?

 

[sandhi]

Can anybody tell me what will be the state space equation for the circuit in the below link. I will be very happy to know this.http://i783.photobucket.com/albums/yy113/sandhi_prashant/Statespaceequation.jpg

with regards,
Sandhi