Reduction of affine systems on polytopes

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

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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 languageEnglish
Title of host publicationProceedings 15th International Symposium on Mathematical Theory of Networks and Systems (MNTS'02, Notre Dame IN, USA, August 12-16, 2002)
EditorsD.S. Gilliam, J. Rosenthal
Publication statusPublished - 2002

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