UID:
almahu_9949697280402882
Format:
1 online resource (327 p.)
ISBN:
1-281-76348-9
,
9786611763480
,
0-08-087421-5
Series Statement:
Pure and applied mathematics ; 102
Content:
System theory
Note:
Description based upon print version of record.
,
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
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ReferencesChapter 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
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Notes for Part IlReferences; 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
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B. A Basic Stochastic Optimization ProblemC. 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
,
English
Additional Edition:
ISBN 0-12-251750-4
Language:
English
