Du C., Xie L. H∞ Control and Filtering of Two-dimensional Systems

Springer, 2002. — 152 p.Over the past decades a considerable interest has been concentrated on problems involving signals and systems that depend on more than one variable. 2-D signals and systems have been studied in relation to several modern engineering fields such as process control, multidimensional digital filtering, image enhancement, image deblurring, signal processing etc. Among the major results developed so far, 2-D digital filters are investigated as a description in frequency domain or as a convolution of the input and the unit response, which has a great potential for practical applications in 2-D image and signal processing. This monograph aims to address several problems of control and filtering of 2-D discrete systems. Specifically the problems of H∞ filtering, H∞ control, stabilization, H∞ model reduction as well as H∞ deconvolution filtering of 2-D linear discrete systems are treated.Bounded Real Lemma of 2-D Discrete Systems
H∞ Control of 2-D Discrete Systems in Roeser Model
Stabilization and H∞ Control of 2-D Discrete Systems in FM LSS Model
Stabilization and H∞ Control of 2-D Discrete Systems of Uncertain Model
H∞ Filtering of 2-D Discrete Systems Described by Roesser Model
H∞ Filtering of 2-D Discrete Systems Described by FM LSS Model
H∞ Deconvolution Filtering of 2-D Digital Systems
H∞ Model Reduction of 2-D Discrete Systems
Conclusions