Title :
The Fornasini-Marchesini model with no overflow oscillations and its application to 2-D digital filter design
Author_Institution :
Fac. of Eng., Tottori Univ., Japan
Abstract :
Based on a two-dimensional (2-D) local state-space (LSS) model that was proposed by E. Fornasini and G. Marchesini (Math. Syst. Theory, vol.12, p.59-72, 1978), a new condition for 2-D discrete systems to be asymptotically stable is introduced. This condition is more general than that based on the Roesser LSS model and includes the latter as a special case. A necessary and sufficient condition for 2-D discrete systems to be asymptotically stable is given in detail, without loss of generality. A criterion that sufficiently guarantees the absence of overflow oscillations in the Fornasini-Marchesini model is shown. The asymptotic stability condition is incorporated in the 2-D filter design
Keywords :
stability criteria; two-dimensional digital filters; 2-D digital filter design; 2-D discrete systems; Fornasini-Marchesini model; absence of overflow oscillations; asymptotic stability condition; asymptotically stable; Asymptotic stability; Delay; Design engineering; Digital filters; Equations; Finite wordlength effects; Lyapunov method; Notice of Violation; Sufficient conditions; Two dimensional displays;
Conference_Titel :
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location :
Portland, OR
DOI :
10.1109/ISCAS.1989.100687
