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IMA Journal of Mathematical Control and Information 1996 13(1):41-61; doi:10.1093/imamci/13.1.41
© 1996 by Institute of Mathematics and its Applications
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On duality between observation and control for implicit linear discrete-time systems

ANDRZEJ BANASZUK1, MACIEJ KOCI=CKI2 and K. MACIEJ PRZYLUSKI3

1Department of Mathematics, University of California Davis, CA 95616-8633, USA
2Institute of Control and Industrial Electronics, Warsaw University of Technology Koszykowa 75, 00-662 Warszawa, Poland
3Institute of Mathematics, Polish Academy of Sciences P.O. Box 137, Sniadeckich 8, 00-950 Warszawa, Poland

Some results concerning the problem of duality between observation and control for implicit linear discrete-time systems are presented. It is not assumed that the considered systems are regular. In this case, some new concepts of observability and controllability turn out to be necessary for studying the problem of duality.


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