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• W2099963740 abstract "This correspondence considers a multivariable system with proper rational matrix transfer functions G 0 and G f in the forward and feedback branches, respectively. It develops a strictly algebraic procedure to obtain polynomials whose zeros are the poles of the matrix transfer functions from input to output (H y ), and from input to error (H e ). G 0 and G f are given in the polynomial matrix factored form N_{0}D_{0}^{-1} and D_{f}^{-1}N_{f} . The role of the assumption det [ I + G_{f}(infty)G_{0}(infty)] neq 0 and the relation between the zeros of det [ I + G_{f}G_{0} ] and the poles of H y and H e are indicated. The implications for stability analysis of continuous-time as well as discrete-time systems are stressed." @default.
• W2099963740 created "2016-06-24" @default.
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• W2099963740 date "1973-08-01" @default.
• W2099963740 modified "2023-09-26" @default.
• W2099963740 title "Cancellations in multivariable continuous-time and discrete-time feedback systems treated by greatest common divisor extraction" @default.
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• W2099963740 doi "https://doi.org/10.1109/tac.1973.1100335" @default.
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