Reduction of affine systems on polytopes

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

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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-2Engels
TitelProceedings 15th International Symposium on Mathematical Theory of Networks and Systems (MNTS'02, Notre Dame IN, USA, August 12-16, 2002)
RedacteurenD.S. Gilliam, J. Rosenthal
StatusGepubliceerd - 2002


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