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Structural Properties of Dynamic Systems

(Blomberg; Sipari, Ylinen (Control Engineering Laboratory))

The structural properties of dynamic systems have been studied. The structure is first modelled using linear state-space representations where the entries of the matrices are either fixed to zero, free or independent real valued parameters. Controllability and observability indices are used for expressing the structural information in a reduced form. Directed graphs are associated with structured system models. Graph-theoretic methods are then used to determine the generic indices which in turn are further used in the analysis and synthesis.

Dynamic systems governed by descriptor and polynomial matrix representations are also studied. The relationships between different representations enable the use of structural properties with analysis and synthesis methods specific for each representation. The study has resulted in new design algorithms which have been implemented and their numerical properties studied.