New Algebraic Methods in Stability Theory,
Abstract
The unification of the system-theoretic machinery of linear stability theory is illustrated by means of the algebraic point of view. As the main example, an extremely direct proff of the so-called Yakubovich-Kalman-Popov lemma is given. The lemma is reformulated in such a way that it, like the Routh-Hurwitz results, is recognized as a mathematical fact whose natural setting is in commutative algebra. Also several alternate characteristizations of rational positive-real functions, including the important lemma of Pick, is obtained. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1970
- Accession Number
- AD0731302
Entities
People
- R. E. Kalman
Organizations
- Stanford University