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- W2125206871 abstract "The pole placement problem belongs to the classical problems of linear systems theory. It is often assumed that the ground field is the real numbers ℝ or the complex numbers ℂ. The major result over the complex numbers derived in 1981 by Brockett and Byrnes states that arbitrary static pole placement is possible for a generic set of m-inputs, p-outputs and McMillan degree n system as soon as mp ≥ n. Moreover the number of solutions in the situation mp = n is an intersection number first computed by Hermann Schubert in the 19th century. In this paper we show that the same result with slightly different proofs holds over any algebraically closed field." @default.
- W2125206871 created "2016-06-24" @default.
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- W2125206871 date "2010-01-01" @default.
- W2125206871 modified "2023-09-27" @default.
- W2125206871 title "Pole Placement with Fields of Positive Characteristic" @default.
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- W2125206871 doi "https://doi.org/10.1007/978-3-642-11278-2_15" @default.
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