Accession Number:

AD0731302

Title:

New Algebraic Methods in Stability Theory,

Descriptive Note:

Corporate Author:

STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH

Personal Author(s):

Report Date:

1970-05-01

Pagination or Media Count:

16.0

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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE