Linear and Differentiable Classifications of ControlSystems with Observation

Abstract： This paper concerns with the linear and differentiableclassification problems of time-invariant linear control systems(governed by ordinary differential equations) with observation. Asan example, the linear and differentiable classificationresults are expressed explicitly in the two-dimensional case. In some sense, theclassification result obtained partially generalizes P. Brunovsky's one onlinear control systems without observation.