Although research on general multidimensional systems theory has been developing rapidly in recent years, this is the first research text to appear on the subject since the early 1980s.
The field is closely related to control, systems, circuits and signal/image processing. The text describes the current state of the art nD systems and sets out a number of open problems, and gives several different perspectives on the subject. It presents a number of different solutions to major theoretical problems as well as some interesting practical results.
The book comprises of a selection of plenary and other lectures given at The First International Workshop on Multidimensional (nD) Systems (NDS-98) held in 1998 in Poland, and is written by leading world specialists in the field.
Table of Contents
PartI: Multidimensional Systems - General 1. Two Decades of Multidimensional Systems Research and Future Trends 2. MATLAB Package for n-D Sampling-Based Modelling of Nonlinear Systems 3. Behaviours, Modules, and Duality. Part II: Control of Multidimensional Systems and Applications 4. Output Feedback Stabilizability and Stabilization of Linear n-D Systems 5. A Review of n-D System Control Theory in a Certain Practical Sense 6. Two Decades of Research on Linear Repetitive Processes 7. Analysis and Control of Discrete Linear Repetitive Processes with Dynamic Boundary Conditions 8. Entire Function Methods for Optimisation Problems in Continuous-Discrete 2D Control Systems 9. Existence of an Optimal Solution for a Continuous Roesser Problem with a Terminal Condition. Part III: Multidimensional Circuits and Signal Processing 10. On The Structure of Linear Phase Perfect Reconstruction Quincunx Filter Banks 11. Deadbands in m-D Delta Operator Based Digital Filters with Floating Point Arithmetic 12. Cascade Synthesis of Two-Variable Lossless Two-Port Networks with Lumped Elements and Transmission Lines: A Semi-Analytic Procedure 13. Reconstruction of Positron Emission Tomography Images by Using MAP Estimation 14. Inspection of Fixing Devices of Railroad Lines Using Image Processing Algorithms 15. Increase of Frame Rate in Virtual Environments by Using 2D Image Warping