A weighted balanced realization of 2-D discrete systems

Author

Luo, H. ; Lu, W.-S. ; Antoniou, A.

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

Volume

1

fYear

1995

fDate

30 Apr-3 May 1995

Firstpage

357

Abstract

An innovative weighted structurally balanced realization of two-dimensional (2-D) discrete systems is proposed. Two auxiliary transfer-function matrices called the weighted-input-to-state and the state-to-weighted-output transfer-function matrices are first introduced. Based on these matrices, the controllability and observability grammians of the weighted system are defined and the existence of the grammians is justified. The resulting 2-D weighted structurally balanced realization method can be applied for the reduction of the system order of 2-D discrete systems

Keywords

controllability; discrete systems; multidimensional systems; observability; realisation theory; reduced order systems; transfer function matrices; auxiliary transfer-function matrices; controllability grammians; observability grammians; order reduction; state-to-weighted-output matrices; two-dimensional discrete systems; weighted structurally balanced approximation; weighted-input-to-state matrices; Approximation error; Approximation methods; Controllability; Equations; Frequency; Integrated circuit modeling; Observability; Reduced order systems; Stability; Two dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium on

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2570-2

Type

conf

DOI

10.1109/ISCAS.1995.521524

Filename

521524