Reduction of affine systems on polytopes

L.C.G.J.M. Habets; J.H. Schuppen, van

Reduction of affine systems on polytopes

L.C.G.J.M. Habets, J.H. Schuppen, van

Center for Analysis, Scientific Computing & Appl.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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Consider an affine system with a polytope as state set. State trajectories are terminated when they reach a facet of the polytope and attempt to exit. The realization problem is considered based on the behavior of the system, i.e. the set of input-output trajectories on time-intervals of either finite or infinite length. The state set can be affinely reduced due to non-observability if and only if a subspace of the classical unobservable subspace, characterized using the normal vectors of the exit facets, is nontrivial.

Originele taal-2	Engels
Titel	Proceedings 15th International Symposium on Mathematical Theory of Networks and Systems (MNTS'02, Notre Dame IN, USA, August 12-16, 2002)
Redacteuren	D.S. Gilliam, J. Rosenthal
Status	Gepubliceerd - 2002

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title = "Reduction of affine systems on polytopes",

abstract = "Consider an affine system with a polytope as state set. State trajectories are terminated when they reach a facet of the polytope and attempt to exit. The realization problem is considered based on the behavior of the system, i.e. the set of input-output trajectories on time-intervals of either finite or infinite length. The state set can be affinely reduced due to non-observability if and only if a subspace of the classical unobservable subspace, characterized using the normal vectors of the exit facets, is nontrivial.",

author = "L.C.G.J.M. Habets and {Schuppen, van}, J.H.",

year = "2002",

language = "English",

editor = "D.S. Gilliam and J. Rosenthal",

booktitle = "Proceedings 15th International Symposium on Mathematical Theory of Networks and Systems (MNTS'02, Notre Dame IN, USA, August 12-16, 2002)",

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Reduction of affine systems on polytopes. / Habets, L.C.G.J.M.; Schuppen, van, J.H.
Proceedings 15th International Symposium on Mathematical Theory of Networks and Systems (MNTS'02, Notre Dame IN, USA, August 12-16, 2002). uitgave / D.S. Gilliam; J. Rosenthal. 2002.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

TY - GEN

T1 - Reduction of affine systems on polytopes

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

AU - Schuppen, van, J.H.

PY - 2002

Y1 - 2002

N2 - Consider an affine system with a polytope as state set. State trajectories are terminated when they reach a facet of the polytope and attempt to exit. The realization problem is considered based on the behavior of the system, i.e. the set of input-output trajectories on time-intervals of either finite or infinite length. The state set can be affinely reduced due to non-observability if and only if a subspace of the classical unobservable subspace, characterized using the normal vectors of the exit facets, is nontrivial.

AB - Consider an affine system with a polytope as state set. State trajectories are terminated when they reach a facet of the polytope and attempt to exit. The realization problem is considered based on the behavior of the system, i.e. the set of input-output trajectories on time-intervals of either finite or infinite length. The state set can be affinely reduced due to non-observability if and only if a subspace of the classical unobservable subspace, characterized using the normal vectors of the exit facets, is nontrivial.

M3 - Conference contribution

BT - Proceedings 15th International Symposium on Mathematical Theory of Networks and Systems (MNTS'02, Notre Dame IN, USA, August 12-16, 2002)

A2 - Gilliam, D.S.

A2 - Rosenthal, J.

ER -

Reduction of affine systems on polytopes

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