Reduction of Affine Systems on Polytopes


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. AMS Subject Classification (1991): 93B20, 93B15.

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@inproceedings{CGJM2002ReductionOA, title={Reduction of Affine Systems on Polytopes}, author={Luc C.G.J.M and Jan H. van Schuppen}, year={2002} }