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• W2078397440 abstract "A finite or infinite sequence of real numbers is said to be stable if it admits minimal realization by a stable linear system. It is shown that the preservation of stability as such a sequence is truncated or extended is not a generic property even among stable sequences. This is of interest for identification of linear systems from partial data and for partial realization of random systems, in which cases it constitutes a negative result. Certain finite sequences have infinitely many minimal realizations each having different stability properties. In this case, a graphical criterion in the spirit of the Nyquist criterion is derived to exploit this lack of uniqueness in order to determine whether one can achieve a stable pole placement by a judicious choice of partial realization." @default.
• W2078397440 created "2016-06-24" @default.
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• W2078397440 date "1982-08-01" @default.
• W2078397440 modified "2023-09-25" @default.
• W2078397440 title "The stability and instability of partial realizations" @default.
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• W2078397440 doi "https://doi.org/10.1016/s0167-6911(82)80018-2" @default.
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