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Functional Analysis and Linear Control Theory

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Functional analysis provides a concise conceptual framework for linear control theory. This self-contained text, geared toward engineering students, demonstrates the subject's unity. A wide range of powerful theorems illustrates inner product spaces; instability, controllability, and observability; minimum norm and time control; and distributed systems. 1980 edition.

Author(s): J.R. Leigh (Eds.)
Series: Mathematics in science and engineering 156
Publisher: Academic Press
Year: 1980

Language: English
Pages: iii-vi, 1-160
City: London; New York

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages v-vi

CHAPTER 1. Preliminaries
Pages 1-10

CHAPTER 2. Basic Concepts
Pages 11-25

CHAPTER 3. Inner Product Spaces and Some of their Properties
Pages 26-32

CHAPTER 4. Some Major Theorems of Functional Analysis
Pages 33-40

CHAPTER 5. Linear Mappings and Reflexive Spaces
Pages 41-49

CHAPTER 6. Axiomatic Representation of Systems
Pages 50-62

CHAPTER 7. Stability, Controllability and Observability
Pages 63-78

CHAPTER 8. Minimum Norm Control
Pages 79-102

CHAPTER 9. Minimum Time Control
Pages 103-119

CHAPTER 10. Distributed Systems
Pages 120-140

Glossary of Symbols
Pages 141-143

References and Further Reading
Pages 145-155

Subject Index
Pages 157-160