A stability test for continuous-discrete bivariate polynomials

Author

Bistritz, Yuval

Author_Institution

Dept. of Electr. Eng., Tel Aviv Univ., Israel

Volume

3

fYear

2003

fDate

25-28 May 2003

Abstract

This paper addresses the problem of testing whether a bivariate polynomial does not vanish in the product of the closed exterior of the unit-circle times the right half-plane. This requirement presents stability conditions for certain mixed continuous-discrete systems. An algebraic method to solve the problem in polynomial order of complexity is developed from Jury´s modified stability test (IEEE Trans. Circuits Syst., vol. 35, pp. 116-119, 1988).

Keywords

computational complexity; continuous time systems; discrete time systems; multidimensional systems; multivariable systems; polynomials; stability; Jury modified stability test; algebraic method; bivariate polynomial testing; closed exterior unit-circle-right half-plane product; continuous-discrete bivariate polynomials; mixed continuous-discrete systems; polynomial order complexity problem; stability conditions; stability test; Continuous time systems; Delay; Difference equations; Linear systems; Multidimensional systems; Polynomials; Stability; System testing; Turning; Two dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on

Print_ISBN

0-7803-7761-3

Type

conf

DOI

10.1109/ISCAS.2003.1205111

Filename

1205111