Control of multi-affine systems on rectangles with applications to hybrid biomolecular networks

C. Belta, L.C.G.J.M. Habets, V. Kumar

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

38 Citations (Scopus)
2 Downloads (Pure)

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.
Original languageEnglish
Title of host publication41st IEEE Conference on Decision and Control, Las Vegas NV, USA, December 10-13, 2002
Place of PublicationPiscataway NJ
PublisherInstitute of Electrical and Electronics Engineers
Pages534-539
Volume1
DOIs
Publication statusPublished - 2002

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