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

After motivating examples, this monograph gives substantial new results on the analysis and control of linear repetitive processes. These include further applications of the abstract model based stability theory which, in particular, shows the critical importance to the dynamics developed of the structure of the initial conditions at the start of each new pass, the development of stability tests and performance bounds in terms of so-called 1D and 2D Lyapunov equations. It presents the development of a major bank of results on the structure and design of control laws, including the case when there is uncertainty in the process model description, together with numerically reliable computational algorithms. Finally, the application of some of these results in the area of iterative learning control is treated --- including experimental results from a chain conveyor system and a gantry robot system.

This book demonstrates the newly developed Elementary Operations Algorithm (EOA). This is a systematic method for constructing a range of state-space realizations for 2-D systems.
The key achievements of the monograph are as follows:
- It provides a research-level introduction to the general area and undertakes a comparative critical review of previous approaches.
- It gives a thorough coverage of the theoretical basis of the EOA algorithm.
- It demonstrates the effectiveness of the EOA algorithm, for example, through the use of algebraic symbolic computing (using MAPLE), as well as by comparing this method with common alternatives.