Above, we found the transfer function to be

The poles of are the same as those of

By

where denotes the

- In linear algebra, the polynomial
is called the
*characteristic polynomial*for the matrix - The roots of the characteristic polynomial are called the
*eigenvalues*of - Thus, the
*eigenvalues*of the state transition matrix are the system*poles* - Each
*mode of vibration*gives rise to a pole pair

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Download StateSpace_4up.pdf

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

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