Title :
Lyapunov theory for nonstationary 2D systems
Author_Institution :
Dept. of Electr. Eng., Amirkabir Univ., Tehran, Iran
Abstract :
An extended Lyapunov theory has been developed for checking the stability of nonstationary two-dimensional (2-D) systems. This development uses the wave model introduced by W.A. Porter and J.L. Aravena (1984). The analysis, using the Lyapunov method on the wave model, highlights the basic difficulty in stability studies for m -D systems. In utilizing the 1-D nature of the wave model, the, Lyapunov equations are time variant (TV), even for constant matrices in the Givone-Roesser model. This TV characteristic invalidates the standard necessary and sufficient conditions available for stationary, 1-D systems. However, as the study shows, it is relatively straightforward to generate necessary or sufficient conditions
Keywords :
Lyapunov methods; multidimensional systems; stability; Givone-Roesser model; TV characteristic; extended Lyapunov theory; nonstationary 2D systems; stability; time variant; wave model; Bonding; Difference equations; Filters; Lyapunov method; Multidimensional systems; Stability analysis; Stability criteria; State-space methods; Sufficient conditions; Transfer functions;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176562
