Title :
New results in multidimensional robust stability
Author_Institution :
Dept. of Electr. Eng., Stevens Inst. of Technol., Hoboken, NJ, USA
Abstract :
Consideration is given to multidimensional generalization of various 1-D results on the robustness of Hurwitz, Schur, and positivity properties of polynomials and rational functions. The convexity property of the stable region in the coefficient space of multivariable polynomials is studied. Multidimensional generalizations and discrete counterparts of Kharitonov-type results are examined, and further extensions, including that of the 1-D edge theorem, are discussed. Interval positivity property of multivariable rational functions is also characterized in terms of ratios of a finite number of Kharitonov-type polynomials
Keywords :
multidimensional systems; stability; 1-D edge theorem; 1-D results; Hurwitz polynomials; Kharitonov-type polynomials; Kharitonov-type results; Schur polynomials; coefficient space of multivariable polynomials; convexity property; multidimensional generalization; multidimensional robust stability; multivariable rational functions; Adaptive filters; Convergence; Explosions; Multidimensional systems; Parameter estimation; Passive networks; Polynomials; Robust stability; Robustness; Space technology;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112287
