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On the perturbation of bimodal systems

Author
Puerta, F.
Type of activity
Presentation of work at congresses
Name of edition
2nd Meeting on Linear Algebra Matrix analysis and applications
Date of publication
2010
Presentation's date
2010-06
Book of congress proceedings
Proceedings of ALAMA 2010 /CDROM
First page
1
Last page
5
Publisher
Servicio de publicaciones de la UPV
Repository
http://hdl.handle.net/2117/8311 Open in new window
Abstract
Given a bimodal system de¯ned by the equations ½ x_ (t) = A1x(t) + Bu(t) if ctx(t) · 0 x_ (t) = A2x(t) + Bu(t) if ctx(t) ¸ 0 (1) where B 2Mn;m and Ai 2Mn, i = 1; 2, are such that A1;A2 coincide on the hyper- plane V =Kerct. We consider in the set of matrices de¯ning the above systems the simultaneous feedback equivalence de¯ned by ([A1;B]; [A2;B]) » ([A0 1;B0]; [A0 2;B0]) if [A0 i B0] = S¡1[Ai B] · S 0 R T ¸ i = 1; 2 with S(V) = V This equivalent relation corresponds to the action of a...
Citation
Puerta, F.; Puerta, F. On the perturbation of bimodal systems. A: Meeting on Linear Algebra Matrix Analysis and Applications. "2nd Meeting on Linear Algebra Matrix analysis and applications". València: Servicio de publicaciones de la UPV, 2010, p. 1-5.
Group of research
SCL-EG - Linear Control Systems: a Geometric Approach

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