New results in multidimensional robust stability

Author

Basu, Sankar

Author_Institution

Dept. of Electr. Eng., Stevens Inst. of Technol., Hoboken, NJ, USA

fYear

1990

fDate

1-3 May 1990

Firstpage

1042

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1990., IEEE International Symposium on

Conference_Location

New Orleans, LA

Type

conf

DOI

10.1109/ISCAS.1990.112287

Filename

112287