Two-dimensional system approximation using interval coefficients

Author

Reddy, Hari C. ; Rajan, P.K. ; Reddy, C.P. ; Stubberud, Allen R.

Author_Institution

Dept. of Electr. Eng., California State Univ., Long Beach, CA, USA

Volume

1

fYear

1996

fDate

3-6 Nov. 1996

Firstpage

151

Abstract

We study the stability of a complex 2-D system characteristic polynomial g(s/sub 1/,s/sub 2/)=/spl Sigma//sub k1=0//sup m1//spl Sigma//sub k2=0//sup m2/ gk/sub 1/k/sub 2/s/sub 1//sup k1/s/sub 2//sup k2/ with interval coefficients g/sub k/1k/sub 2//spl isin/[g/sub -k1k2/,g/sub k1k2/] for each (k/sub 1/,k/sub 2/). It is hoped that such a study would be of help in ensuring the stability part of the approximation problem for 2-D systems with variable parameters. In order to solve the above problem, we derive Kharitonov (1979) type estremum polynomials for complex two-variable very strict Hurwitz interval polynomials.

Keywords

approximation theory; multidimensional systems; numerical stability; parameter estimation; polynomials; transfer functions; BIBO stability; Hurwitz interval polynomials; Kharitonov type estremum polynomials; approximation problem; complex 2D system characteristic polynomial; interval coefficients; stability; transfer functions; two-dimensional system approximation; variable parameters; Circuit testing; Continuous time systems; Polynomials; Stability; System identification; System testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1996. Conference Record of the Thirtieth Asilomar Conference on

Conference_Location

Pacific Grove, CA, USA

ISSN

1058-6393

Print_ISBN

0-8186-7646-9

Type

conf

DOI

10.1109/ACSSC.1996.600847

Filename

600847