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UMINF 15.15

Canonical structure transitions of system pencils

We investigate the changes under small perturbations of the canonical structure information for a system pencil (A B C D) - s (E 0 0 0), E is nonsingular, associated with a (generalized) linear time-invariant state-space system. The equivalence class of the pencil is taken with respect to feedback-injection equivalence transformation. The results allow to track possible changes under small perturbations of important linear system characteristics.

Keywords

linear system; descriptor system; state-space system; system pencil; matrix pencil; orbit; bundle; perturbation; versal deformation; strati cation.

Authors

Andrii Dmytryshyn , Stefan Johansson and Bo Kågström

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Entry responsible: Andrii Dmytryshyn

Page Responsible: Frank Drewes
2022-09-30