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IMA Journal of Mathematical Control and Information Advance Access originally published online on June 3, 2005
IMA Journal of Mathematical Control and Information 2005 22(4):415-421; doi:10.1093/imamci/dni034
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© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Explicit stability conditions for time-discrete vector Lur'e-type systems

M. I. Gil'1,** and Rigoberto Medina2,***

1 Department of Mathematics, Ben Gurion University of the Negev, PO Box 653, Beer-Sheva 84105, Israel, 2 Departmento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, Osorno, Chile

** Email: gilmi{at}cs.bgu.ac.il

*** Email: rmedina{at}ulagos.cl

Non-linear discrete-time Lur'e-type systems are considered. Explicit stability conditions are suggested. They are formulated in terms of the determinants of characteristic polynomials. Moreover, an estimate for the region of attraction of the zero solution is derived.

Keywords: non-linear discrete-time systems; stability; region of attraction.


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