Stability verification of multidimensional Kirchoff circuits by suitable energy functions

Author

Hemetsberger, Gerald

Author_Institution

Lehrstuhl fur Nachrichtentech., Ruhr-Univ., Bochum, Germany

fYear

1994

fDate

19-22 Apr 1994

Abstract

Multidimensional (MD) Kirchoff circuits (MDKC) are introduced in the theory of MD wave digital filters (MDWDF) in order to develop the so-called reference networks. Since MDWDF principles have also been used for numerical integration of partial differential equations (PDE) having physical relevance, MDKCs have received new significance because they can be used as an equivalent alternative representation of the original PDEs. For this reason it has become interesting to develop a more complete theory of MDKCs. A new energy function is represented to serve as a possible stability criterion for the MDKCs in the sense of Lyapunov (1966)

Keywords

Lyapunov methods; circuit stability; integration; multidimensional digital filters; network analysis; partial differential equations; wave digital filters; Lyapunov stability; MDWDF; PDE; energy functions; multidimensional Kirchoff circuits; multidimensional wave digital filters; numerical integration; partial differential equations; reference networks; stability verification; Circuit stability; Digital filters; Finite impulse response filter; Multidimensional systems; Nonlinear equations; Nonlinear systems; Parallel processing; Partial differential equations; Stability criteria; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on

Conference_Location

Adelaide, SA

ISSN

1520-6149

Print_ISBN

0-7803-1775-0

Type

conf

DOI

10.1109/ICASSP.1994.389940

Filename

389940