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Stabilization of discrete‐time bilinear systems
Author(s) -
Grüne L.,
Wirth F.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781535
Subject(s) - controllability , control theory (sociology) , bilinear interpolation , nonlinear system , mathematics , discrete time and continuous time , feedback control
The problem of feedback stabilizing a bilinear discrete‐time system is studied. Under an accessibility condition on an associated nonlinear system on the projective space it can be shown that null controllability is equivalent to feedback stabilizability. We present a way in which a stabilizing feedback may be computed using some ideas from discounted optimal control.