UID:
almahu_9947367017602882
Umfang:
1 online resource (191 p.)
ISBN:
1-282-28955-1
,
9786612289552
,
0-08-095665-3
Serie:
Mathematics in science and engineering ; v. 159
Inhalt:
An introduction to applied optimal control
Anmerkung:
Description based upon print version of record.
,
Front Page; An Introduction to Applied Optimal Control; Copyright Page; Contents; Preface; Chapter I. Examples of Control Systems; the Control Problem; General Form of the Control Problem; Chapter II. The General Linear Time Optimal Problem; 1. Introduction; 2. Applications of the Maximum Principle; 3. Normal Systems-Uniqueness of the Optimal Control; 4. Further Examples of Time Optimal Control; 5. Numerical Computation of the Switching Times; References; Chapter III. The Pontryagin Maximum Principle; 1. The Maximum Principle; 2. Classical Calculus of Variations
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3. More Examples of the Maximum PrincipleReferences; Chapter IV. The General Maximum Principle; Control Problems with Terminal Payoff; 1. Introduction; 2. Control Problems with Terminal Payoff; 3. Existence of Optimal Controls; References; Chapter V. Numerical Solution of Two-Point Boundary-Value Problems; 1. Linear Two-Point Boundary-Value Problems; 2. Nonlinear Shooting Methods; 3. Nonlinear Shooting Methods: Implicit Boundary Conditions; 4. Quasi-Linearization; 5. Finite-Difference Schemes and Multiple Shooting; 6. Summary; References
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Chapter VI. Dynamic Programming and Differential Games1. Discrete Dynamic Pogramming; 2. Continuous Dynamic Rogramming-Control Problems; 3. Continuous Dynamic Programming-Differential Games; References; Chapter VII. Controllability and Observability; 1. Controllable Linear Systems; 2. Observability; References; Chapter VIII. State-Constrained Control Problems; 1. The Restricted Mmimum Principle; 2. Jump Conditions; 3. The Continuous Wheat Trading Model without Shortselling; 4. Some Models in Production and Inventory Control; References
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Chapter IX. Optimal Control of Systems Governed by Partial Differential Equations1. Some Examples of Elliptic Control Problems; 2. Necessary and Sufficient Conditions for Optimality; 3. Boundary Control and Approximate Controllability of Elliptic Systems; 4. The Control of Systems Governed by Parabolic Equations; 5. Time Optimal Control; 6. Approximate Controllability for Parabolic Problems; References; Appendix I. Geometry of Rn; Appendix II. Existence of Time Optimal Controls and the Bang-Bang Principle; Appendix III. Stability; Index
,
English
Weitere Ausg.:
ISBN 0-12-416960-0
Sprache:
Englisch
