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

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

doi:10.1109/CDC.2002.1184551

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

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

Center for Analysis, Scientific Computing and Applications

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

41 Citations (Scopus)

5 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 language	English
Title of host publication	41st IEEE Conference on Decision and Control, Las Vegas NV, USA, December 10-13, 2002
Place of Publication	Piscataway NJ
Publisher	Institute of Electrical and Electronics Engineers
Pages	534-539
Volume	1
DOIs	https://doi.org/10.1109/CDC.2002.1184551
Publication status	Published - 2002

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10.1109/CDC.2002.1184551

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title = "Control of multi-affine systems on rectangles with applications to hybrid biomolecular networks",

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.",

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Control of multi-affine systems on rectangles with applications to hybrid biomolecular networks. / Belta, C.; Habets, L.C.G.J.M.; Kumar, V.
41st IEEE Conference on Decision and Control, Las Vegas NV, USA, December 10-13, 2002. Vol. 1 Piscataway NJ: Institute of Electrical and Electronics Engineers, 2002. p. 534-539 TuM05.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Control of multi-affine systems on rectangles with applications to hybrid biomolecular networks

AU - Belta, C.

AU - Habets, L.C.G.J.M.

AU - Kumar, V.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

U2 - 10.1109/CDC.2002.1184551

DO - 10.1109/CDC.2002.1184551

M3 - Conference contribution

VL - 1

SP - 534

EP - 539

BT - 41st IEEE Conference on Decision and Control, Las Vegas NV, USA, December 10-13, 2002

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway NJ

ER -

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

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