Title :
Robust stability of 2-D discrete systems described by the Fornasini-Marchesini second model employing quantization/overflow nonlinearities
Author :
Kar, Haranath ; Singh, Vimal
Author_Institution :
Dept. of Electr. Electron. Eng., Atilim Univ., Ankara, Turkey
Abstract :
New criteria for the global asymptotic stability of the uncertain two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space model under various combinations of overflow and quantization nonlinearities are established. Sufficient conditions for the uncertain 2-D discrete systems to be free of overflow oscillations under a generalized overflow arithmetic are presented.
Keywords :
Lyapunov methods; asymptotic stability; discrete time filters; filtering theory; linear matrix inequalities; state-space methods; two-dimensional digital filters; uncertain systems; 2D discrete systems; Fornasini-Marchesini second model; Lyapunov methods; asymptotic stability; finite wordlength effects; linear matrix inequality; local state-space model; overflow arithmetic; overflow nonlinearities; overflow oscillations; quantization nonlinearities; uncertain systems; Arithmetic; Asymptotic stability; Data processing; Finite wordlength effects; Quantization; Robust stability; Sufficient conditions; Two dimensional displays; Uncertain systems; Uncertainty; 2-D; 65; Asymptotic stability; Lyapunov methods; discrete systems; finite worldlength effects; linear matrix inequality; two-dimensional; uncertain systems;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2004.836880
