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2012 Interval Continuous Plant Identification from Value Sets
R. Hernández, J. A. García, C. Mañoso
J. Appl. Math. 2012(SI10): 1-32 (2012). DOI: 10.1155/2012/840603


This paper shows how to obtain the values of the numerator and denominator Kharitonov polynomials of an interval plant from its value set at a given frequency. Moreover, it is proven that given a value set, all the assigned polynomials of the vertices can be determined if and only if there is a complete edge or a complete arc lying on a quadrant. This algorithm is nonconservative in the sense that if the value-set boundary of an interval plant is exactly known, and particularly its vertices, then the Kharitonov rectangles are exactly those used to obtain these value sets.


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R. Hernández. J. A. García. C. Mañoso. "Interval Continuous Plant Identification from Value Sets." J. Appl. Math. 2012 (SI10) 1 - 32, 2012.


Published: 2012
First available in Project Euclid: 7 May 2014

zbMATH: 1264.93154
MathSciNet: MR3005225
Digital Object Identifier: 10.1155/2012/840603

Rights: Copyright © 2012 Hindawi


Vol.2012 • No. SI10 • 2012
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