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.
|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|
|Publication status||Published - 2002|