# Matlab function which will perform the analysis of my system with respect to Control Theory.

$$x(t)=Ax(t)+Bu(t)$$

$$y(t)=Cx(t)$$

I have three matrices. For example, the matrices are:

And using only one Matlab function I would like to get the following information:

1 Eigenvalues of the matrix A.

2 System modes.

3 $${e}^{A}$$.

4 Whether or not the system is robust.

5 Resistance poles.

I am sure that all this is possible to get using only one function, but I do not know which one. Could you, please, help me find it.

Thank you.

• How much experience do you have with Matlab? And with only one Matlab function you mean a function you can write yourself? – Kwin van der Veen Dec 18 '18 at 7:42
• What are "resistance poles"? I have never heard of that term and I am unable to find anything control-related on that term using google... Also, whether a system is robust isn't really a question with a yes/no answer, as indicated by your question 4. And robustness is usually a property of a controlled system, however, your system seems to be open loop (i.e. has no controller)? – SampleTime Dec 19 '18 at 17:01