Departmental Papers (MEAM)

Document Type

Conference Paper

Subject Area


Date of this Version

December 2002


Copyright 2002 IEEE. Reprinted from Proceedings of the 41st IEEE Conference on Decision and Control 2002, Volume 1, pages 534-539.
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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.