Title :
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
fDate :
30 Apr-3 May 1995
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;
Conference_Titel :
Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2570-2
DOI :
10.1109/ISCAS.1995.521524
