Title :
Stability analysis of 2-D state-space digital filters using Lyapunov function: a caution
Author :
Kar, Haranath ; Singh, Vimal
Author_Institution :
Dept. of Electron. Eng., M.N.R. Eng. Coll., Allahabad, India
fDate :
10/1/1997 12:00:00 AM
Abstract :
A previously proposed Lyapunov-based approach for the stability analysis of two-dimensional (2-D) state-space digital filters is reviewed. It is shown that the approach, as it is, may lead to an erroneous conclusion
Keywords :
Lyapunov matrix equations; circuit stability; filtering theory; state-space methods; two-dimensional digital filters; 2D state-space digital filters; Lyapunov function; stability analysis; state matrix; Arithmetic; Digital filters; Finite wordlength effects; Linear systems; Lyapunov method; Nonlinear systems; Polynomials; Stability analysis; Two dimensional displays;
Journal_Title :
Signal Processing, IEEE Transactions on