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## Miniversal deformations of observable marked matrices

Author
Compta, Albert; Ferrer, J.; Peña, M.
Type of activity
Journal article
Journal
Mathematical methods in the applied sciences
Date of publication
2014
Volume
37
Number
1
First page
20
Last page
31
DOI
https://doi.org/10.1002/mma.2780
Repository
http://hdl.handle.net/2117/24071
URL
http://onlinelibrary.wiley.com/doi/10.1002/mma.2780/abstract;jsessionid=3734BF2BBF605A767EB3E23C2999C5CD.f03t03
Abstract
Given the set of vertical pairs of matrices ${\cal M}\subset M_{m,n}(\mathbb C)\times M_n(\mathbb C)$ keeping the subspace $\mathbb C^d\times\{0\}\subset\mathbb C^n$ invariant,we compute miniversal deformations of a given pair when it is observable, and the subspace $\mathbb C^d\times\{0\}$ is marked. Moreover, we obtain the dimension of the orbit, characterize the structurally stable vertical pairs, and study the effect of each deformation parameter. Copyright © 2013 JohnWiley & Sons, Ltd.
Citation
Compta, A.; Ferrer, J.; Peña, M. Miniversal deformations of observable marked matrices. "Mathematical methods in the applied sciences", 2014, vol. 37, núm. 1, p. 20-31.
Keywords
conditioned invariant subspaces, miniversal deformation, stratified manifold, vertical pairs of matrices
Group of research
SCL-EG - Linear Control Systems: a Geometric Approach