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An algorithm for obtaining the minimal realization of a linear time-invariant system and determining if a system is stabilizable-detectable

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3 Author(s)
Davison, E.J. ; University of Toronto, Toronto, Ontario, Canada ; Gesing, W. ; Wang, S.H.

A definition of centralized fixed modes of a system, which is an adoption of the definition of fixed modes for a decentralized system [1], is made. It is shown that the centralized fixed modes of a system can be easily and efficiently calculated in terms of the eigenvalues of the system, and that the calculation of such fixed modes enables one to determine, in a numerically efficient way, whether a system is controllable observable, stabilizable detectable. An efficient algorithm for reducing a system to minimal realization form is then given. The algorithms have been effectively used on systems of order up to 100.

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Automatic Control, IEEE Transactions on  (Volume:23 ,  Issue: 6 )