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

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

I have three matrices. For example, the matrices are: enter image description here

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.

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  • $\begingroup$ How much experience do you have with Matlab? And with only one Matlab function you mean a function you can write yourself? $\endgroup$ – Kwin van der Veen Dec 18 '18 at 7:42
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    $\begingroup$ 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)? $\endgroup$ – SampleTime Dec 19 '18 at 17:01

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