Discrete H ∞ Optimization: With Applications in Signal Processing and Control Systems

✍ Scribed by Professor Charles K. Chui, Dr. Guanrong Chen (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1997
• Tongue: English
• Leaves: 270
• Series: Springer Series in Information Sciences 26
• Edition: 2
• Category: Library

✦ Synopsis

Discrete H¿ Optimization is concerned with the study of H¿ optimization for digital signal processing and discrete-time control systems. The first three chapters present the basic theory and standard methods in digital filtering and systems from the frequency-domain approach, followed by a discussion of the general theory of approximation in Hardy spaces. AAK theory is introduced, first for finite-rank operators and then more generally, before being extended to the multi-input/multi-output setting. This mathematically rigorous book is self-contained and suitable for self-study. The advanced mathermatical results derived here are applicabel to digital control systems and digital filtering.

✦ Table of Contents

Front Matter....Pages I-XIII
Digital Signals and Digital Filters....Pages 1-46
Linear Systems....Pages 47-83
Approximation in Hardy Spaces....Pages 84-117
Optimal Hankel-Norm Approximation and H ∞ -Minimization....Pages 118-168
General Theory of Optimal Hankel-Norm Approximation....Pages 169-207
H ∞-Optimization and System Reduction for MIMO Systems....Pages 208-246
Back Matter....Pages 247-262

✦ Subjects

Complexity;Systems Theory, Control;Calculus of Variations and Optimal Control;Optimization;Communications Engineering, Networks;Mathematical Methods in Physics;Numerical and Computational Physics