How to generate random stable state space?

Hey guys,

How to generate random stable state space model? A=rand(100,100) with eig(A)<0.

Thanks, Rebbecca

Answer 1

[Sebastian Castro]

Yes, you can!

>> A = rss(100)

https://www.mathworks.com/help/control/ref/rss.html

- Sebastian

[Rebbecca Thien]

Thank you Sebastian!

[Martin Evans]

Does rss guarantee stability? The question was for a random stable system.

[Andrey Kharitenko]

Doesn't quite answer the question.

rss allows for integrators in the model, so the result may be unstable.

Answer 2

[Firas Omran]

Hello,

I would like to generate a random NON-linear state space system. Is there a command for that or shall i generate a linear one and then modify it to make it nonlinear (add square, sine, cosine, etc.) ? And how to ensure the generated system is a stable system ?

Appreciate your help.

Thanks Firas