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Contributions to the Minimal Realization Problem for Descriptor SystemsSokolov, Viatcheslav 15 June 2006 (has links) (PDF)
In this thesis we have studied several aspects of the minimal realization problem
for descriptor systems. These aspects include purely theoretical questions
such as that about the order of a minimal realization of a general improper
rational matrix and problems of a numerical nature, like rounding error analysis
of the computing a minimal realization from a nonminimal one. We have
also treated the minimal partial realization problem for general descriptor
systems with application to model reduction and to generalised eigenvalue
problems.
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Contributions to the Minimal Realization Problem for Descriptor SystemsSokolov, Viatcheslav 02 June 2006 (has links)
In this thesis we have studied several aspects of the minimal realization problem
for descriptor systems. These aspects include purely theoretical questions
such as that about the order of a minimal realization of a general improper
rational matrix and problems of a numerical nature, like rounding error analysis
of the computing a minimal realization from a nonminimal one. We have
also treated the minimal partial realization problem for general descriptor
systems with application to model reduction and to generalised eigenvalue
problems.
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