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IMA Journal of Mathematical Control and Information 1999 16(1):91-102; doi:10.1093/imamci/16.1.91
© 1999 by Institute of Mathematics and its Applications
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On perturbations of controllable implicit linear systems

ANDRZEJ BANASZUK{dagger} and K. MACIEJ PRZYLUSKl{ddagger}

United Technologies Research Center 411 Silver Lane, MS 129-15, East Hartford, CT 06108, USA
Institute of Mathematics Polish Academy of Sciences Sniadeckich 8, P. O. Box 137, 00-950 Warszawa, Poland
{dagger} Email: banaszuk{at}math.gatech.edu
{ddagger} Email: kmp{at}impan.gov.pl

Various notions of controllability for general (i.e. possibly non-regular) implicit linear systems are considered. Some genericity properties of the corresponding controllable systems are established.

Keywords: Implicit linear systems; controllability; matrix pencils; perturbations of control-lable systems; generic properties; Hautus condsitions.


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