A MODEL-REDUCTION METHOD OF 2D SYSTEMS

Authors
KANDO H WATANABE T UKAI H MORITA Y
Citation
H. Kando et al., A MODEL-REDUCTION METHOD OF 2D SYSTEMS, International Journal of Systems Science, 29(9), 1998, pp. 989-1005
Citations number
41
Categorie Soggetti
Computer Science Theory & Methods","Operatione Research & Management Science","Computer Science Theory & Methods","Operatione Research & Management Science","Robotics & Automatic Control
Journal title
International Journal of Systems Science → ACNP
ISSN journal
00207721
Volume
29
Issue
9
Year of publication
1998
Pages
989 - 1005
Database
ISI
SICI code
0020-7721(1998)29:9<989:AMMO2S>2.0.ZU;2-F
Abstract
A new model reduction method for 2D discrete-time systems via the sing ular perturbation approach is studied First, the boundary layer method for 2D non-separable Roesser model is newly formulated, and an iterat ive algorithm to calculate the asymptotic solutions based on reduced-o rder models is proposed. Second a computation algorithm to solve 2D Ly apunov equations is developed and a criterion for the Lyapunov stabili ty test based on low-order 2D Lyapunov equations is provided. Finally, in ol der to indicate the effectiveness of this method, a design exam ple of 2D IIR digital filters is given.