Abstract
Given a multi-affine system on an N-dimensional rectangle, the problem of reaching a particular facet, using multiaffine 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.
Original language | English |
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Title of host publication | 41st IEEE Conference on Decision and Control, Las Vegas NV, USA, December 10-13, 2002 |
Place of Publication | Piscataway NJ |
Publisher | Institute of Electrical and Electronics Engineers |
Pages | 534-539 |
Volume | 1 |
DOIs | |
Publication status | Published - 2002 |