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Given a multi-affine system on an N-dimensional rectangle, the problem of reaching a particular facet, using multi-affine state feedback is studied. Necessary conditions and sufficient conditions for the existence of a solution are derived in terms of linear inequalities on the input vectors at the vertices of the rectangle, and a method for constructing a multi-affine state feedback solution is presented. The technique is applied to the control of hybrid models of bioregulatory networks.
Date Posted: 24 November 2004
This document has been peer reviewed.