Functional Analysis and Linear Control Theory

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. 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