DocumentCode
2830380
Title
Lyapunov theory for nonstationary 2D systems
Author
Shafiee, Masoud
Author_Institution
Dept. of Electr. Eng., Amirkabir Univ., Tehran, Iran
fYear
1991
fDate
11-14 Jun 1991
Firstpage
1113
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN
0-7803-0050-5
Type
conf
DOI
10.1109/ISCAS.1991.176562
Filename
176562
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