Stabilization of discrete-time bilinear systems

L. Grüne, F. Wirth: Stabilization of discrete-time bilinear systems
in: Proceedings of the GAMM Jahrestagung 1997, ZAMM, Supplement 3, Regensburg, 1998, 925 - 926

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Abstract:

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.

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