DocumentCode :
1192736
Title :
Stability assessment of two-dimensional state-space systems
Author :
Fernando, K.V. ; Nicholson, H.
Volume :
32
Issue :
5
fYear :
1985
fDate :
5/1/1985 12:00:00 AM
Firstpage :
484
Lastpage :
487
Abstract :
The two-dimensional Fornasini-Marchesini model [1], [2] is one of the most general state-spice models available. Although conditions for stability for this model are theoretically simple, actual numerical verification is not a trivial exercise. One way to overcome this problem is to compute the matrix norm 
for real 
, and the system is stable if this value is less than unity. We compute this value by transforming the two-dimensional system into a canonical form based on the generalized eigenstructure of the state matrices 
and 
.
for real , and the system is stable if this value is less than unity. We compute this value by transforming the two-dimensional system into a canonical form based on the generalized eigenstructure of the state matrices and .Keywords :
Multidimensional (n-D) system; Stability, linear systems; Circuit noise; Circuit stability; Circuits and systems; Fourier transforms; Optical noise; Optical sensors; Optical signal processing; Optimized production technology; Sampling methods; Signal sampling;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1985.1085736
Filename :
1085736
Link To Document :
