Linear Time - Varying Systems
نویسنده
چکیده
The notion of properness, well-known for constant linear systems, is generalized to the time-varying case. In a module theoretic framework intrinsic characterizations of input-output system properness are derived. For this, ltrations and the associated Hilbert polyno-mials are used. Classical criteria for properness of polynomial and state representations for constant linear systems are generalized to the time-varying case. As a measure for the non-properness, an input output index of a system is deened intrinsically which is directly related to the index of implicit systems of diierential equations.
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