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Necessary stability conditions for differential‐difference equations
Author(s) -
Batra Prashant
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610289
Subject(s) - stability (learning theory) , mathematics , routh–hurwitz stability criterion , rational function , differential equation , construct (python library) , order (exchange) , hurwitz polynomial , differential (mechanical device) , pure mathematics , algebra over a field , mathematical analysis , polynomial , computer science , physics , thermodynamics , finance , economics , machine learning , programming language
Hurwitz‐stable polynomials and quasi‐polynomials are split to construct positive rational functions. Computational characterizations of positive functions are used to derive low‐order necessary stability criteria. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)