DocumentCode
3258556
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
Volume
1
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
534
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184551
Filename
1184551
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