#### Typical State-Space Diagonalization Procedure

As discussed in [449, p. 362] and exemplified in §C.17.6, to diagonalize a system, we must find the eigenvectors of by solving

*similarity transformation matrix:*

^{2.12}The matrix is then used to diagonalize the system by means of a simple

*change of coordinates:*

(2.13) |

where

The transformed system describes the same system as in Eq.(1.8) relative to new state-variable coordinates . For example, it can be checked that the transfer-function matrix is unchanged.

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Efficiency of Diagonalized State-Space Models

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Force-Driven-Mass Diagonalization Example