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 and Applications

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

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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.

Original language	English
Title of host publication	Proceedings 15th International Symposium on Mathematical Theory of Networks and Systems (MNTS'02, Notre Dame IN, USA, August 12-16, 2002)
Editors	D.S. Gilliam, J. Rosenthal
Publication status	Published - 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). ed. / D.S. Gilliam; J. Rosenthal. 2002.

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

TY - GEN

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

AU - Schuppen, van, J.H.

PY - 2002

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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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