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Comments on “Relations between coefficients of the closed-loop characteristic polynomial and output-feedback gains”. (English) Zbl 0631.93023

An explicit analytical relationship between coefficients of the characteristic polynomial of open- and closed-loop systems and the elements of the output feedback matrix [see K. J. Reinschke, ibid. 43, 1465-1485 (1986; Zbl 0585.93028)] is presented. This relationship makes the probem of the modal synthesis of a multi-input system much easier.

MSC:

93B50 Synthesis problems
15A15 Determinants, permanents, traces, other special matrix functions
93C05 Linear systems in control theory

Citations:

Zbl 0585.93028
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References:

[1] JEZIERSKI , E. ,KUŹMIŃSK1, K. 1979 ,Proc. 4th Int. Symp. on Systems Modelling and Control, Zakopane , Vol. 1 , 202 ; 1981, Systems Sci., 7, 42 .
[2] DOI: 10.1080/00207178608933552 · Zbl 0585.93028 · doi:10.1080/00207178608933552
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