UID:
almahu_9947366318802882
Format:
1 online resource (185 p.)
ISBN:
1-283-52574-7
,
9786613838193
,
0-08-095532-0
Series Statement:
Mathematics in science and engineering ; 26
Content:
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank
Note:
Description based upon print version of record.
,
Front Cover; Optimal Shutdown Control of Nuclear Reactors; Copyright Page; Contents; Preface; Chapter 1. Xenon in Nuclear Reactors. Dynamic Programming I; 1.1 Introduction and Historical Review; 1.2 Xenon Spatial Oscillations; 1.3 Fission-Product Poison Production; 1.4 Absorption Cross Section of Xenon; 1.5 Thermal-Reactor Xenon Difficulties; 1.6 Conventional Approaches to Circumvent Xenon; 1.7 Dynamic Programming; 1.8 Principle of Optimality and Two Examples; Chapter 2. Reactor Poisons. Dynamic Programming II; 2.1 Long-Term Fission-Product Poisons; 2.2 Poison Reactivity
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2.3 Xenon Spatial Oscillations Revisited2.4 Discrete Optimal Control; 2.5 Averaged Control and Terminal Control; 2.6 Impact on Linearized Control Theory; Chapter 3. Poison Kinetics and Xenon Shutdown. Dynamic Programming III; 3.1 Reactor-Poison Kinetics Equations; 3.2 Immediate Flux Shutdown; 3.3 Xenon and Samarium after Protracted Shutdown; 3.4 Xenon Minimum and Minimax Problem Statements; 3.5 Constraints; 3.6 Dynamic Programming. Absolute Value and Minimax Criteria; Chapter 4. The Maximum Principle; 4.1 Introduction; 4.2 Two Examples; 4.3 Bang-Bang Control
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4.4 Continuous and Bang-Bang Control4.5 Optimal Orbital-Rendezvous Control; 4.6 Simplified Xenon Shutdown Control; 4.7 The Two-Point Boundary-Value Problem; Chapter 5. Minimum and Minimax Xenon Shutdown; 5.1 Mathematical Restatement of Optimal Xenon Shutdown; 5.2 Mathematical Restatement of Constraints; 5.3 Dynamic-Programming Functional Equation; 5.4 Derivation of Bellman's Equation; 5.5 Bang-Bang Control Dilemma; 5.6 Dynamic-Programming versus Maximum-Principle Optimal Shutdown Solutions; Chapter 6. Computational Aspects; 6.1 Introduction and Calculation of Fk Tables
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6.2 The Xenon Override Constraint6.3 DYNPROG and COAST Input-Data Format; 6.A. Appendix to Chapter 6; Chapter 7. Experimental Verification; 7.1 Introduction and IRR-1 Reactor Description; 7.2 Immediate Shutdown of IRR-1 to Zero Flux; 7.3 Shutdown to Nonzero Power Levels; 7.4 Xenon and Iodine Buildup and Decay; 7.5 Experimental Results; 7.A. Appendix to Chapter 7; Chapter 8. Results and Conclusions; 8.1 Introduction and Xenon Unconstrained Extremals; 8.2 Xenon Constrained Extremals; 8.3 Interdependence of Flux and Xenon Constraints; 8.4 Two Types of Optimal Shutdown Payoffs
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8.5 Short Allowable Shutdown Durations8.6 Strongly Limited Xenon Override Shutdown; 8.7 Conclusions of Experimental Investigation; Chapter 9. Summary and Equivalences; 9.1 Reprise; 9.2 Equivalence between the Optimality Principle and the Maximum Principle; 9.3 Comparison of Optimal Shutdown Criteria; 9.4 Other Equivalences; 9.5 Higher-Order-System Formulations; References; Bibliography; Document Glossary; Xenon Bibliography; Index
,
English
Additional Edition:
ISBN 0-12-065150-5
Language:
English
