STATE MODELS AND STABILITY FOR 2-D FILTERS

被引:27
作者
ARAVENA, JL
SHAFIEE, M
PORTER, WA
机构
[1] Department of Electrical and Computer Engineering, Louisiana State University, Bato Rouge
[2] Louisiana State University, Baton Rouge, LA
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1990年 / 37卷 / 12期
关键词
System Stability;
D O I
10.1109/31.101271
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this study a generalized 2-D discrete-time filter is considered. Using the concept of a wave advance process the filter equation is converted to a 1-D recursive form. A 1-D state equation is then developed and a canonical form for the state equation is presented. A norm bound on state transitions is developed, which is then related to the coefficients of the underlying filter equation. This norm bound is used to specify asymptotic stability conditions, the resultant criteria are illustrated through examples. © 1990 IEEE
引用
收藏
页码:1509 / 1519
页数:11
相关论文
共 15 条
[1]   STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE TWO-DIMENSIONAL SYSTEMS [J].
ANDERSON, BDO ;
AGATHOKLIS, P ;
JURY, EI ;
MANSOUR, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (03) :261-267
[2]   STATE REPRESENTATIONS FOR M-D SYSTEMS WITH GENERALIZED CAUSALITY STRUCTURES [J].
ARAVENA, JL ;
PORTER, WA .
MATHEMATICAL SYSTEMS THEORY, 1987, 20 (2-3) :155-168
[3]  
ARAVENA JL, 1988, LINEAR CIRCUITS SYST
[4]  
ARAVENA JL, 1987, P I ELECT ENG, V134
[5]  
FORNASINI E, 1976, IEEE T AUTOMAT CONTR, V21
[6]  
GIVONE DD, 1972, IEEE T COMPUTERS, V21
[7]  
Goodman D., 1977, IEEE T CIRCUITS SYST, VCAS-24
[8]  
HUANG TS, 1981, 2 DIMENSIONAL DIGITA, V42
[9]  
Jury E., 1982, INNERS STABILITY DYN
[10]  
LU WU, 1985, IEEE T CIRCUITS JAN, P61