Control of Multi-Affine Systems on Rectangles with Applications to Hybrid Biomolecular Networks
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Given 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.
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Copyright 2002 IEEE. Reprinted from Proceedings of the 41st IEEE Conference on Decision and Control 2002, Volume 1, pages 534-539. Publisher URL: http://ieeexplore.ieee.org/xpl/tocresult.jsp?isNumber=26566&page=6 This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.