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Routh's algorithm - A centennial surveyOne hundred years have passed since the publication of Routh's fundamental work on determining the stability of constant linear systems. The paper presents an outline of the algorithm and considers such aspects of it as the distribution of zeros and applications of it that relate to the greatest common divisor, the abscissa of stability, continued fractions, canonical forms, the nonnegativity of polynomials and polynomial matrices, the absolute stability, optimality and passivity of dynamic systems, and the stability of two-dimensional circuits.
Document ID
19770056237
Document Type
Reprint (Version printed in journal)
Authors
Barnett, S. (Bradford, University Bradford, Yorks., United Kingdom)
Siljak, D. D. (Santa Clara, University Santa Clara, Calif., United States)
Date Acquired
August 9, 2013
Publication Date
July 1, 1977
Publication Information
Publication: SIAM Review
Volume: 19
Subject Category
NUMERICAL ANALYSIS
Funding Number(s)
CONTRACT_GRANT: NGR-05-017-010
Distribution Limits
Public
Copyright
Other