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Local differentiable pole assignment

Author
Compta, Albert; Ferrer, J.; Peña, M.
Type of activity
Journal article
Journal
Linear and multilinear algebra
Date of publication
2010
Volume
58
Number
5
First page
563
Last page
569
DOI
https://doi.org/10.1080/03081080902745304 Open in new window
Repository
http://hdl.handle.net/2117/8436 Open in new window
URL
http://www.tandfonline.com/doi/abs/10.1080/03081080902745304 Open in new window
Abstract
Given a general local differentiable family of pairs of matrices, we obtain a local differentiable family of feedbacks solving the pole assignment problem, that is to say, shifting the spectrum into a prefixed one. We point out that no additional hypothesis is needed. In fact, simple approaches work in particular cases (controllable pairs, constancy of the dimension of the controllable subspace, and so on). Here the general case is proved by means of Arnold’s techniques: the key point is to re...
Citation
Compta, A.; Ferrer, J.; Peña, M. Local differentiable pole assignment. "Linear and multilinear algebra", 2010, vol. 58, núm. 5, p. 563-569.
Group of research
SCL-EG - Linear Control Systems: a Geometric Approach

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