NDLI: Stability analysis of polynomials with coefficients in disks

Content Provider	IEEE Xplore Digital Library
Author	Li, Y. Nagpal, K.M. Lee, E.B.
Copyright Year	1963
Abstract	The aim of this note is to report results on the stability of a class of polynomials from the small gain theorem point of view. The authors consider families of polynomials whose coefficients lie in closed circular disks around their nominal values. Various measures of variation of polynomial coefficients around their nominal value are considered and in each case necessary and sufficient conditions are presented for stability of the resulting family of polynomials. The stability region could be any closed region of the complex plane. Based on similar ideas of small gain, the authors also provide sufficient conditions for testing the stability of systems with commensurate time delays, and for two-dimensional type systems. These conditions become both necessary and sufficient in some special cases. All tests are easy to implement and require checking the stability of a matrix (or equivalently checking the stability of the central polynomial) and evaluation of a norm.<>
Sponsorship	IEEE Control Systems Society
Starting Page	509
Ending Page	513
Page Count	5
File Size	424354
File Format	PDF
ISSN	00189286
Volume Number	37
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1992-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability analysis Polynomials Sufficient conditions Delay effects Robust stability System testing Transfer functions Control systems Mechanical engineering Asymptotic stability
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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