Journal ArticleDOI
Conditions for a feedback transfer function matrix to be proper
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TLDR
In this paper, necessary and sufficient conditions are given for the ration matrix to be proper for a rational matrix G and a constant matrix K, where G is a constant and K a constant.Abstract:
Given rational matrix \hat{G}(s) and a constant matrix K , necessary and sufficient conditions are given for the ration matrix \hat{H}(s) = \hat{G}(s) [I + K\hat{G}(s)]^{-1} to be proper.read more
Citations
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Comments on "Conditions for a feedback transfer matrix to be proper"
R. Scott,B. Anderson +1 more
TL;DR: When constant output feedback is applied around a linear system with a rational transfer function matrix which may be improper, the closed-loop transfer function matrices is generically proper as mentioned in this paper, which is the case for all linear systems with rational transfer functions.
Journal ArticleDOI
Properness of feedback transfer matrices
TL;DR: In this paper, sufficient conditions for the transfer matrix of a state-estimator type feedback system to be proper or improper are presented, which are needed in the discussion of the well-posedness of the feedback system.
Dissertation
Aspects of feedback and a local approach for linear systems
TL;DR: In this article, the effect of constant output feedback on a general open-loop composite system is considered and a simple sufficient condition for the properness of such a closed-loop system is derived.
Journal ArticleDOI
Comments and corrections to "Conditions for feedback transfer function matrix to be proper"
TL;DR: This paper pointed out the errors in the above correspondence, and modified accordingly the proof of its main result, and then restated a lemma and modified the main result of the proof.
References
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Journal ArticleDOI
Zeros and poles of matrix transfer functions and their dynamical interpretation
Charles A. Desoer,J. Schulman +1 more
TL;DR: In this paper, it was shown that p is a pole of a rational matrix transfer function if and only if some "singular" input creates a zero state response of the form rept}, for t > 0.
Journal ArticleDOI
Cancellations in multivariable continuous-time and discrete-time feedback systems treated by greatest common divisor extraction
Charles A. Desoer,J. Schulman +1 more
TL;DR: In this article, a strictly algebraic procedure was developed to obtain polynomials whose zeros are the poles of the matrix transfer functions from input to output (H y ), and from output to error (H e ).