DocumentCode
540109
Title
The bounded-real lemma for two-dimensional systems
Author
Hinamoto, Takao
fYear
1990
fDate
9-11 Aug. 1990
Firstpage
464
Lastpage
467
Abstract
The lossless bounded-real lemma for 2D systems is developed. This is based on the second local state-space (LSS) model of E. Fornasini and G. Marchesini (Math. Syst. Theory, vol.12, p.59-72, 1978; IEEE Trans. Circuits Syst. vol.CAS-27, p.1210-7, 1980). A condition for a 2D system to be bounded-real is also investigated. Similar arguments can be applied to the Roesser LSS model. The lossless bounded-real property is treated in conjunction with the asymptotic stability and the overflow oscillation in 2D systems
Keywords
multidimensional systems; stability criteria; state-space methods; 2D systems; Roesser local state-space model; asymptotic stability; lossless bounded-real lemma; overflow oscillation; two-dimensional systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Systems Engineering, 1990., IEEE International Conference on
Conference_Location
Pittsburgh, PA, USA
Print_ISBN
0-7803-0173-0
Type
conf
DOI
10.1109/ICSYSE.1990.203195
Filename
5725727
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