Hello everyone.(adsbygoogle = window.adsbygoogle || []).push({});

Iam working on a course in multivariable control theory and I stumbled over the Identity Matrix.

I understand what the identity matrix is, though the use of it is a mistery...

I was reading about going from state space to transfer functions and I found this expressions:

Known:

X'=AX+BU

Taking Laplace transform (with zero initial conditions)

sX(s)=AX(s)+BU(s)

The state equation can be write in the form

(sI−A)X(s)= BU(s)

Now Iam wondering why I would need an Identity Matrix when bringing A to the left sided of the equation?

Thanks in advance for any help,

Cheers,

Michael

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Identity Matrix

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Identity Matrix | Date |
---|---|

I Intuitive understanding of Euler's identity? | Thursday at 4:52 AM |

How to prove vector identities WITHOUT using levi civita ? | Nov 27, 2017 |

I Domain of the identity function after inverse composition | Nov 19, 2017 |

B Algebra Identity I can't figure out | Oct 29, 2017 |

Difference between Kronecker delta and identity matrix | May 25, 2006 |

**Physics Forums - The Fusion of Science and Community**