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Product Details
This is volume 36 in theTexts in Applied Mathematics series from Springer. Also from the back cover: "Robust control theory has been one of the most active research areas of mainstream systems theory since the late 1970s. This research activity has been at the confluence of dynamical systems theory, functional analysis, matrix analysis, numerical methods, complexity theory, and engineering applications. The discipline has involved interactions between diverse research groups including pure mathematicians, applied mathematicians, computer scientists, and engineering. A rather extensive set of approaches using a wide variety of mathematical techniques has been produced by the research effort, and applications of robust control theory are spreading to ares as diverse as aerospace systems, chemical processes, power networks, and control of fluids. During the 1990s the theory has seen major advances and achieved a new maturity, centered around convex analysis and optimization. ...
"This book will be of value to mathematical researchers and computer scientists wishing to learn about robust control theory, graduate students planning to do research in the area, and engineers interested in the basis of advanced control techniques."
Chapters
Introduction
Preliminaries in Finite Dimensional Space
State Space System Theory
Linear Analysis
Model Realizations and Reduction
Stabilizing Controllers
H2 Optimal Control
H∞ Synthesis
Uncertain Systems
Feedback Control of Uncertain Systems
Further Topics: Analysis
Further Topics: Synthesis
Appendices
Some Basic Measure Theory
Proofs of Strict Separation
μ-Simple Structures
The book concludes with "Notation," "References," and "Index."
