Title :
Positivity of multivariate complex interval rational functions
Author_Institution :
Dept. of Electr. & Comput. Eng., New Jersey Inst. of Technol., Newark, NJ, USA
Abstract :
The robustness of multivariate complex interval positive rational functions is studied. One of the main points made by S. Basu (1990) is on the robustness of the positive complex (PC) property for an n-variate complex interval rational function. Basu concluded that the PC property of the specific 16(2n)2 extreme members of the set can imply the PC property of the set. In this work, it is proved that the PC property of an interval set of n-variate complex rational functions can be assured by the PC property of its certain 16(2n) extreme members which are a subset of those 16(2n)2 extreme members defined by Basu
Keywords :
perturbation techniques; polynomials; transfer functions; PC property; extreme members; interval set; multivariate complex interval rational functions; positive complex; robustness; Circuit stability; Control systems; Electrical engineering; Modeling; Noise robustness; Paper technology; Polynomials; Process control; Scattering; Signal processing;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176554
