Title :
Stability of a time-varying 2-D state-space digital filter
Author :
Mabey, Glen W. ; Base, T. ; Moon, Todd
Author_Institution :
Dept. of Electr. & Comput. Eng., Utah State Univ., Logan, UT, USA
Abstract :
The problem of establishing sufficient conditions for a time-varying 2-D Givone-Roesser model is studied. The analysis shows that the Lyapunov condition used to guarantee stability of 1-D state-space systems is useful for this problem, but not applicable in a straightforward manner. The elimination of coupling in one of the two directions between the horizontal and vertical state vectors of the Givone-Roesser model does complement the Lyapunov approach such that BIBO stability is achieved.
Keywords :
digital filters; stability; time-varying filters; 1D state-space systems; BIBO stability; Lyapunov condition; state-space digital filter; time-varying 2D Givone-Roesser model; Adaptive signal processing; Digital filters; Information processing; Linear systems; Moon; Signal analysis; Stability analysis; Sufficient conditions; Time varying systems; Vectors;
Conference_Titel :
Signals, Systems and Computers, 2004. Conference Record of the Thirty-Eighth Asilomar Conference on
Print_ISBN :
0-7803-8622-1
DOI :
10.1109/ACSSC.2004.1399542
