Abstract
The stability of multivariable feedback systems presents different problems from the stability of single loop feedback systems, owing mainly to the complexities of “pole”-“zero” cancellation in the multivariate case. In this paper, the “coprime factorization” of a nonrational transfer function matrix is defined and is used in studying the stability of multivariable distributed feedback systems. However, the stability results based on coprime factorizations, though they are quite elegant, do not lead to readily applicable testing procedures. For this reason, we introduce the notion of “pseudo-coprime” factorizations. These also lead to many stability theorems. As a special case of these stability results, we obtain explicit necessary and sufficient conditions for the stability of a multivariable feedback system whose open loop transfer function contains a finite number of poles in the closed right half-plane, but is otherwise stable. These results significantly generalize those of Callier and Desoer [8].
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
