Title :
Stability of two-dimensional nonlinear discrete systems
Author :
Bose, Tamal ; Joo, Kyung Sub
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Colorado Univ., Denver, CO, USA
Abstract :
A new class of two-dimensional (2-D) nonlinear discrete-time systems is formulated. This class of systems is more general than the well-known bilinear system and is therefore called the “2-D Generalized Bilinear System” (2DGBLS). State-space models of this new system are also formulated. The bounded input bounded output (BIBO) stability of the 2DGBLS is investigated. The difference equation and the state-space models are considered and sufficient conditions are established for stability. Some examples are presented to illustrate the results
Keywords :
bilinear systems; difference equations; discrete time filters; filtering theory; input-output stability; multidimensional systems; nonlinear filters; state-space methods; two-dimensional digital filters; 2D generalized bilinear system; 2D nonlinear discrete-time systems; BIBO stability; bilinear system; bounded input bounded output stability; difference equation; state-space models; two-dimensional nonlinear systems; Biological system modeling; Biomedical signal processing; Difference equations; Ear; Equations; Linear systems; Nonlinear filters; Nonlinear systems; Stability; Sufficient conditions; Two dimensional displays;
Conference_Titel :
Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on
Conference_Location :
Lafayette, LA
Print_ISBN :
0-7803-2428-5
DOI :
10.1109/MWSCAS.1994.518936
