NDLI: A new method to estimate a guaranteed subset of the domain of attraction for non-polynomial systems

Content Provider	IEEE Xplore Digital Library
Author	Saleme, A. Tibken, B.
Copyright Year	2012
Description	Author affiliation: Fac. of Electr., Inf. & Media Eng., Univ. of Wuppertal, Wuppertal, Germany (Saleme, A.; Tibken, B.)
Abstract	We will present a new method to estimate the guaranteed subset of the domain of attraction (DOA) around an asymptotically stable equilibrium for time invariant, autonomous and non-polynomial systems. The presented method is based on Lyapunov's stability theory, the theorem of Ehlich and Zeller and the univariate interval Newton method. Without calculating the polynomial interpolation of the non-polynomials, we compute a lower and upper bound for the interpolation error for each of the non-polynomial terms. Then, the theorem of Ehlich and Zeller can be adapted to non-polynomial systems using the interpolation error bound. For a given quadratic Lyapunov function (QLF), an upper and lower bound for the guaranteed DOA is calculated. The effectiveness of the presented method will be illustrated by two examples.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	2577
Ending Page	2582
File Size	199561
Page Count	6
File Format	PDF
ISBN	9781457710957
ISSN	07431619
e-ISBN	9781457710964
e-ISBN	9781467321020
DOI	10.1109/ACC.2012.6315052
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-27
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Polynomials Interpolation Upper bound Optimization Direction of arrival estimation Lyapunov methods Vectors
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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