System Theory
A Hilbert space approach
Published on 8. September 1982
309 pages
978-0-08-087421-0 (ISBN)
Description
System Theory
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01/1982
Academic Press
€91.61
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Content
- Front Cover
- System Theory: A Hilbert Space Approach
- Copyright Page
- Contents
- Preface
- Introduction
- Part l: Operator Theory in Hilbert Resolution Space
- Chapter 1. Causality
- A. Hilbert Resolution Space
- B. Causal Operators
- C. Anticausal and Memoryless Operators
- D. The Integrals of Triangular Truncation
- E. Integral Representation
- Problems
- References
- Chapter 2. Hypercausality
- A. Strict Causality
- B. Strong Strict Causality
- C. Strong Causality
- D. The Radical
- Problems
- References
- Chapter 3. Decomposition
- A. Decomposition in B
- B. Decomposition in C
- C. Decomposition in K
- Problems
- References
- Chapter 4. Factorization
- A. Regular Factorization
- B. Radical Factorization
- C. Compact Perturbations of the Identity
- Problems
- References
- Chapter 5. Causal Invertibility
- A. Sufficient Conditions
- B. Topological Techniques
- Problems
- References
- Notes for Part I
- References
- Part ll: State Space Theory
- Chapter 6. State Models
- A. State Decomposition
- B. Controllability and Observability
- C. Characterization Theory
- Problems
- References
- Chapter 7. State Trajectory Factorization
- A. State Trajectories
- B. The State Trajectory Space
- C. Lifting Theory
- Problems
- References
- Notes for Part Il
- References
- Part III: Feedback Systems
- Chapter 8. Feedback Models
- A. Extension Spaces
- B. Fractional Representation
- C. Stability
- D. Sensitivity
- Problems
- References
- Chapter 9. Asymptotic Design
- A. Stabilization
- B. Tracking
- C. Disturbance Rejection
- Problems
- References
- Chapter 10. Optimal Control
- A. A Basic Optimization Problem
- B. The Servomechanism Problem
- C. The Regulator Problem
- Problems
- References
- Notes for Part lll
- References
- Part IV: Stochastic Systems
- Chapter 11. Stochastic Optimization
- A. Hilbert Space-Valued Random Variables
- B. A Basic Stochastic Optimization Problem
- C. Representation, Approximation, and Identification
- Problems
- References
- Chapter 12. Estimation and Control
- A. Filtering and Prediction
- B. Open Loop Servomechanisms
- C. Closed Loop Servomechanisms
- D. Stochastic Regulators
- Problems
- References
- Notes for Part IV
- References
- Selected Bibliography
- Index
- Pure and Applied Mathematics: A Series of Monographs and Textbooks
