Title :
Control of multi-affine systems on rectangles with applications to hybrid biomolecular networks
Author :
Belta, Calin ; Habets, Luc C G J M ; Kumar, Vijay
Author_Institution :
GRASP Lab., Pennsylvania Univ., USA
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.
Keywords :
biocontrol; closed loop systems; control system synthesis; genetics; microorganisms; molecular biophysics; proteins; state feedback; bioregulatory networks; hybrid biomolecular networks; linear inequalities; multi-affine state feedback; multi-affine systems; necessary conditions; sufficient conditions; Biological system modeling; Control systems; Design methodology; Embedded system; Laboratories; Safety; State feedback; Sufficient conditions; Vectors; Zinc;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184551
