15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
FLOQUET THEORY FOR MIMO SAMPLED-DATA SYSTEMS
B.P. Lampe*, E.N. Rosenwasser**
* University of Rostock, D-18051 Rostock, Germany
fax: +49 381/498-3563
E-mail: bernhard.lampe@etechnik.uni-rostock.de
** St. Petersburg State University of Ocean Technology
Lotsmanskaya ul. 3, St. Petersburg, 190008, Russia
E-mail: k10@smtu.ru

The paper transfers some classical results by Floquet from the theory of linear differential equations with periodically varying coefficients to MIMO sampled-data systems. The problem of modal control is formulated for sampled-data systems, and the general solution is given in a polynomial form.
Keywords: Sampled-data control, Time-varying systems, Periodic motion, MIMO, Modal control
Session slot T-Tu-M14: Linear systems theory/Area code 2b : Linear Systems