caa a22 4500 397558902 CHVBK 20180308164811.0 cr unu---uuuuu 161202e199603 xx s 000 0 eng 10.1093/imamci/13.1.19 doi (NATIONALLICENCE)oxford-10.1093/imamci/13.1.19 Interval-polynomial stability theory and its applications in testing the strict positive realness of interval transfer functions [Elektronische Daten] [LONG WANG, LIN HUANG] Based on value-set geometry and vector operations in the complex plane, this paper improves some early results on the robust D-stability of an interval polynomial. Almost strong Kharitonov-type results for some typical stability regions D are presented. Some connections between the critical vertex polynomials with respect to these stability regions are established. Explicit upper bounds for the number of critical vertex polynomials associated with each stability region are derived. We also present a simple direct procedure for construction of the critical vertex polynomials with respect to the left-sector stability region. Illustrative examples are given. Using the stability theory of interval polynomials, some strong Kharitonov-type results are obtained for strict positive realness of interval rational functions. © Oxford University Press Articles nationallicence WANG LONG Department of Mechanics, Peking University, Beijing 100871, P.R. China aut HUANG LIN Department of Mechanics, Peking University, Beijing 100871, P.R. China aut IMA Journal of Mathematical Control and Information Oxford University Press 13/1(1996-03), 19-40 0265-0754 13:1<19 1996 13 imamci https://doi.org/10.1093/imamci/13.1.19 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/imamci/13.1.19 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- WANG LONG Department of Mechanics, Peking University, Beijing 100871, P.R. China aut NATIONALLICENCE 700 1- HUANG LIN Department of Mechanics, Peking University, Beijing 100871, P.R. China aut NATIONALLICENCE 773 0- IMA Journal of Mathematical Control and Information Oxford University Press 13/1(1996-03), 19-40 0265-0754 13:1<19 1996 13 imamci Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford