Output Feedback Invariants *
نویسندگان
چکیده
The paper is concerned with the problem of determining a complete set of invariants for output feedback. Using tools from geometric invariant theory it is shown that there exists a quasi-projective variety whose points parameterize the output feedback orbits in a unique way. If the McMillan degree n ≥ mp, the product of number of inputs and number of outputs, then it is shown that in the closure of every feedback orbit there is exactly one nondegenerate system. The main results of this paper were announced without proof at the 36th IEEE Conference on Decision and Control in San Diego, 1997. (see [17]). Supported in part by NSF grant DMS-96-10389. Research partially supported by DFG grant 436 RUS 113/275/4-1.
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