TL;DR
This paper extends the concept of Hurwitz stability from polynomials to real rational functions, establishing a new stability criterion and introducing generalized Hurwitz determinants.
Contribution
It presents a novel stability criterion for rational functions and defines new determinants that generalize classical Hurwitz determinants.
Findings
Established an analogue of Hurwitz stability criterion for rational functions
Introduced a new class of determinants generalizing Hurwitz determinants
Provided theoretical framework for analyzing stability of rational functions
Abstract
A generalization of Hurwitz stable polynomials to real rational functions is considered. We establishe an analogue of the Hurwitz stability criterion for rational functions and introduce a new type of determinants that can be treated as a generalization of the Hurwitz determinants.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.