A control problem for affine dynamical systems on a full-dimensional simplex
Given an affine system on a simplex, the problem of reaching a particular facet of the simplex, using affine state feedback is studied. Necessary 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 simplex. If these conditions are met, a constructive procedure yields an affine feedback control law, that solves this reachability problem.
|Logistics (theme 3), Energy (theme 4)|
|CWI. Probability, Networks and Algorithms [PNA]|
Habets, L.C.G.J.M, & van Schuppen, J.H. (2000). A control problem for affine dynamical systems on a full-dimensional simplex. CWI. Probability, Networks and Algorithms [PNA]. CWI.