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Versal deformations of bilinear systems under output-injection equivalence

Author
Garcia-Planas, M.I.
Type of activity
Presentation of work at congresses
Name of edition
6th International Scientific Conference on Physics and Control
Date of publication
2013
Presentation's date
2013-08-27
Book of congress proceedings
Conference Proceedings 6th International Conference on Physics and Control
Repository
http://hdl.handle.net/2117/21507 Open in new window
Abstract
Bilinear systems under output injection equivalence are considered. The aim of this paper is to study what happens when a slight perturbation affects the coeffi- cients of the matrices defining a bilinear equation in C n . For this goal we will use the Arnold’s techniques, that is to say we will construct a versal deformation of a differentiable family of bilinear systems which are the orthogonal linear varieties to the orbits of output injec- tion equivalent bilinear systems. Versal deformati...
Citation
Garcia-Planas, M.I. Versal deformations of bilinear systems under output-injection equivalence. A: International Scientific Conference on Physics and Control. "Conference Proceedings 6th International Conference on Physics and Control". San Luis de Potosí: 2013.
Keywords
Bilinear systems, equivalence relation, output injection., versal deformations
Group of research
SCL-EG - Linear Control Systems: a Geometric Approach

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