内容简介：　　

　 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.


英文目录：
Preface
List of Figures
1 Introduction
　　1.1 Overview
　　1.2 Outline of the Monograph
　　1.3 Background References
2 Bounded Real Lemma of 2-D Discrete Systems
　　2.1 Introduction
　　2.2 State-Space Models of 2-D Linear Systems
　　　　2.2.1 State-Space Models
　　　　2.2.2 Relationships Between the Model
　　2.3 Overview of the Stability of 2-D System
　　2.4 Bounded Real Lemma of 2-D Roesser Model
　　2.5 Bounded Real Lemma of 2-D FM LSS Model
　　　　2.5.1 Finite Horizion Case
　　　　2.5.2 Infinite Horizion Case
　　2.6 Conclusion
3 H∞ Control of 2-D Discrete Systems in Roesser Model
　　3.1 Introduction
　　3.2 H∞ Control of 2-D System in Roesser Model
　　3.3 Robust Stabilization of 2-D System
　　3.4 Application Examples
　　　　3.4.1 H∞ Control of a Thermal Process
　　　　3.4.2 Robust Stabilization of a Process in Darboux Equation
　　3.5 Conclusion
4 Stabilization and H∞ Control of 2-D Discrete Systems in FM LSS Model
　　4.1 Introduction
　　4.2 Output Feedback Stabilization of FM LSS Model
　　4.3 H∞ Control of FM LSS Model
　　4.4 Examples
　　4.5 Conclusion
5 Stabilization and H∞ Control of Uncertain 2-D Discrete Systems
　　5.1 Introduction
　　5.2 Robust Stabilization of FM LSS Model
　　5.3 Robust H∞ Control of FM LSS Model
　　5.4 Application Examples
　　5.5 Conclusion
6 H∞ Filtering of 2-D Discrete Systems Described by Roesser Model
　　6.1 Introduction
　　6.2 Observer-Based 2-D H∞ Filtering of 2-D Discrete System
　　　　6.2.1 Riccati Inequality Approach
　　　　6.2.2 LMI Approach
　　6.3 Design of 2-D H∞ Filter of 2-D General Form
　　6.4 A Numerical Examples
　　6.5 Summary
7 H∞ Filtering of 2-D Discrete Systems Described by FM LSS Model
　　7.1 Introduction
　　7.2 Finite Horizon H∞ Filtering of 2-D Discrete System
　　7.3 Infinite Horizon H∞ Filtering of 2-D Discrete System
　　　　7.3.1 Infinite Horizon 2-D H∞ Filtering via a Riccati Inequality Approach
　　　　7.3.2 Infinite Horizon 2-D H∞ Filtering via an LMI Approach
　　　　7.3.3 Design of Infinite Horizon 2-D H∞ Filtering of General Form
　　7.4 Numerical Examples
　　7.5 Conclusion
8 H∞ Deconvolution Filtering of 2-D Digital Systems
　　8.1 Introduction
　　8.2 Problem Formulation and Preliminaries
　　8.3 H∞ Deconvolution filter Design
　　8.4 Robust H∞ Deconvolution Filter Design
　　8.5 Examples
　　8.6 Conclusion
9 H∞ Model Reduction of 2-D Discrete Systems
　　9.1 Introduction
　　9.2 Problem Formulation and Preliminaries
　　9.3 H∞ Model Reduction
　　9.4 Computational Techniques for 2-D H∞ Model Reduction
　　9.5 Numerical Examples
　　9.6 Conclusion
10 Conclusion
References
Index