Belta, CalinHabets, Luc C.G.J.M.Kumar, R. Vijay2023-05-222023-05-222002-12-102004-11-21https://repository.upenn.edu/handle/20.500.14332/40034Given 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.GRASPPresentation