Dynamic programming and the calculus of variations / / Stuart E. Dreyfus |
Autore | Dreyfus Stuart E |
Pubbl/distr/stampa | New York : , : Academic Press, , 1965 |
Descrizione fisica | 1 online resource (xix, 248 pages) : illustrations |
Disciplina | 519.92 |
Collana | Mathematics in science and engineering |
Soggetto topico |
Calculus of variations
Dynamic programming Programming (Mathematics) |
ISBN |
1-282-28924-1
9786612289248 0-08-095527-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Dynamic Programming and the Calculus of Variations; Copyright Page; Contents; Preface; Chapter I. Discrete Dynamic Programming; 1. Introduction; 2. An Example of a Multistage Decision Process Problem; 3. The Dynamic Programming solution of the Example; 4. The Dynamic Programming Formalism; 5. Two Properties of the Optimal Value Function; 6. An Alternative Method of Solution; 7. Modified Properties of the Optimal Value Function; 8. A Property of Multistage Decision Processes; 9. Further Illustrative Examples; 10. Terminal Control Problems; 11. Example of a Terminal Control Problem
12. Solution of the Example; 13. Properties of the Solution of a Terminal Control Problem; 14. Summary; Chapter II. The Classical Variational Theory; 1. Introduction; 2. A Problem; 3. Admissible Solutions; 4. Functions; 5. Functionals; 6. Minimization and Maximization; 7. Arc-Length; 8. The Simplest General Problem; 9. The Maximum-Value Functional; 10. The Nature of Necessary Conditions; 11. Example; 12. The Nature of Sufficient Conditions; 13. Necessary and Sufficient Conditions; 14. The Absolute Minimum of a Functional; 15. A Relative Minimum of a Function 16. A Strong Relative Minimum of a Functional; 17. A Weak Relative Minimum of a Functional; 18. Weak Variations; 19. The First and Second Variations; 20. The Euler-Lagrange Equation; 21. Example; 22. The Legendre Condition; 23. The Second Variation and the Second Derivative; 24. The Jacobi Necessary Condition; 25. Example; 26. Focal Point; 27. Geometric Conjugate Points; 28. The Weierstrass Necessary Condition; 29. Example; 30. Discussion; 31. Transversality Conditions; 32. Corner Conditions; 33. Relative Summary; 34. Sufficient Conditions; 35. Hamilton-Jacobi Theory 36. Other Problem Formulations; 37. Example of a Terminal Control Problem; 38. Necessary Conditions for the Problem of Mayer; 39. Analysis of the Example Problem; 40. Two-Point Boundary Value Problems; 41. A Well-Posed Problem; 42. Discussion; 43. Computational Solution; 44. Summary; References to Standard Texts; Chapter III. The Simplest Problem; 1. Introduction; 2. Notation; 3. The Fundamental Partial Differential Equation; 4. A Connection with Classical Variations; 5. A Partial Differential Equation of the Classical Type; 6. Two Kinds of Derivatives 7. Discussion of the Fundamental Partial Differential Equation; 8. Characterization of the Optimal Policy Function; 9. Partial Derivatives along Optimal Curves; 10. Boundary Conditions for the Fundamental Equation: I; 11. Boundary Conditions: II; 12. An Illustrative Example-Variable End Point; 13. A Further Example-Fixed Terminal Point; 14. A Higher-Dimensional Example; 15. A Different Method of Analytic Solution; 16. An Example; 17. From Partial to Ordinary Differential Equations; 18. The Euler-Lagrange Equation; 19. A Second Derivation of the Euler-Lagrange Equation;20. The Legendre Necessary Condition |
Record Nr. | UNINA-9910826530103321 |
Dreyfus Stuart E
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New York : , : Academic Press, , 1965 | ||
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Lo trovi qui: Univ. Federico II | ||
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Dynamical inverse problems of distributed systems / / V.I. Maksimov |
Autore | Maksimov V. I (Vi͡acheslav Ivanovich) |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2002 |
Descrizione fisica | 1 online resource (277 pages) : illustrations |
Disciplina | 515 |
Collana | Inverse and ill-posed problems series |
Soggetto topico |
Distributed parameter systems
Inverse problems (Differential equations) Dynamic programming Approximation theory |
Soggetto genere / forma | Electronic books. |
ISBN | 3-11-094483-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Introduction -- Chapter 1. Problems of dynamical modeling in abstract systems -- Chapter 2. Approximation of inputs in parabolic equations -- Chapter 3. Approximation of inputs in parabolic variational inequalities -- Chapter 4. Finite-dimensional approximation of inputs. Examples -- Bibliography |
Record Nr. | UNINA-9910463706203321 |
Maksimov V. I (Vi͡acheslav Ivanovich)
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Utrecht ; ; Boston : , : VSP, , 2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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Dynamical inverse problems of distributed systems / / V.I. Maksimov |
Autore | Maksimov V. I (Vi͡acheslav Ivanovich) |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2002 |
Descrizione fisica | 1 online resource (277 pages) : illustrations |
Disciplina | 515 |
Collana | Inverse and ill-posed problems series |
Soggetto topico |
Distributed parameter systems
Inverse problems (Differential equations) Dynamic programming Approximation theory |
Soggetto non controllato |
Boundary Disturbances
Coefficients Distributed Disturbances Distributed Parameters Dynamical Reconstruction Evolutionary Variational Inequalities Hyperbolic Equations Operators Parabolic Equations |
ISBN | 3-11-094483-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Introduction -- Chapter 1. Problems of dynamical modeling in abstract systems -- Chapter 2. Approximation of inputs in parabolic equations -- Chapter 3. Approximation of inputs in parabolic variational inequalities -- Chapter 4. Finite-dimensional approximation of inputs. Examples -- Bibliography |
Record Nr. | UNINA-9910788957003321 |
Maksimov V. I (Vi͡acheslav Ivanovich)
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Utrecht ; ; Boston : , : VSP, , 2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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Dynamical inverse problems of distributed systems / / V.I. Maksimov |
Autore | Maksimov V. I (Vi͡acheslav Ivanovich) |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2002 |
Descrizione fisica | 1 online resource (277 pages) : illustrations |
Disciplina | 515 |
Collana | Inverse and ill-posed problems series |
Soggetto topico |
Distributed parameter systems
Inverse problems (Differential equations) Dynamic programming Approximation theory |
Soggetto non controllato |
Boundary Disturbances
Coefficients Distributed Disturbances Distributed Parameters Dynamical Reconstruction Evolutionary Variational Inequalities Hyperbolic Equations Operators Parabolic Equations |
ISBN | 3-11-094483-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Introduction -- Chapter 1. Problems of dynamical modeling in abstract systems -- Chapter 2. Approximation of inputs in parabolic equations -- Chapter 3. Approximation of inputs in parabolic variational inequalities -- Chapter 4. Finite-dimensional approximation of inputs. Examples -- Bibliography |
Record Nr. | UNINA-9910814643003321 |
Maksimov V. I (Vi͡acheslav Ivanovich)
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Utrecht ; ; Boston : , : VSP, , 2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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Einfuhrungskursus in die dynamische Programmierung / H. P. Kunzi, O. Muller, E. Nievergelt ; Autographie ausgearb. von O. Muller |
Autore | Kunzi, Hans Paul |
Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1968 |
Descrizione fisica | 103 p. : ill. ; 28 cm. |
Disciplina | 519.703 |
Altri autori (Persone) |
Muller, Otto
Nievergelt, Erwin |
Collana | Lecture notes in operations research and mathematical economics ; 6 |
Soggetto topico | Dynamic programming |
Classificazione | AMS 90C39 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Record Nr. | UNISALENTO-991000844389707536 |
Kunzi, Hans Paul
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Berlin ; New York : Springer-Verlag, 1968 | ||
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Lo trovi qui: Univ. del Salento | ||
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Foundations of non-stationary dynamic programming with discrete time parameter / K. Hinderer |
Autore | Hinderer, K. |
Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1970 |
Descrizione fisica | vi, 160 p. ; 26 cm. |
Disciplina | 519.703 |
Collana | Lecture notes in operations research and mathematical systems ; 33 |
Soggetto topico | Dynamic programming |
Classificazione | AMS 90C39 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000906719707536 |
Hinderer, K.
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Berlin ; New York : Springer-Verlag, 1970 | ||
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Lo trovi qui: Univ. del Salento | ||
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From shortest paths to reinforcement learning : a MATLAB-based tutorial on dynamic programming / / Paolo Brandimarte |
Autore | Brandimarte Paolo |
Edizione | [1st ed. 2021.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (XI, 207 p. 67 illus.) |
Disciplina | 519.703 |
Collana | EURO Advanced Tutorials on Operational Research |
Soggetto topico |
Dynamic programming
Operations research - Methodology |
ISBN | 3-030-61867-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | The dynamic programming principle -- Implementing dynamic programming -- Modeling for dynamic programming -- Numerical dynamic programming for discrete states -- Approximate dynamic programming and reinforcement learning for discrete states -- Numerical dynamic programming for continuous states -- Approximate dynamic programming and reinforcement learning for continuous states. |
Record Nr. | UNINA-9910484119403321 |
Brandimarte Paolo
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Cham, Switzerland : , : Springer, , [2021] | ||
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Lo trovi qui: Univ. Federico II | ||
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Handbook of learning and approximate dynamic programming / / [edited by] Jennie Si ... [et al.] |
Pubbl/distr/stampa | Hoboken, New Jersey : , : IEEE Press, , c2004 |
Descrizione fisica | 1 PDF (xxi, 644 pages) : illustrations |
Disciplina | 519.7/03 |
Altri autori (Persone) | SiJennie |
Collana | IEEE press series on computational intelligence |
Soggetto topico |
Dynamic programming
Automatic programming (Computer science) Machine learning Control theory Systems engineering Engineering & Applied Sciences Civil & Environmental Engineering Computer Science Operations Research |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Foreword. -- 1. ADP: goals, opportunities and principles. -- Part I: Overview. -- 2. Reinforcement learning and its relationship to supervised learning. -- 3. Model-based adaptive critic designs. -- 4. Guidance in the use of adaptive critics for control. -- 5. Direct neural dynamic programming. -- 6. The linear programming approach to approximate dynamic programming. -- 7. Reinforcement learning in large, high-dimensional state spaces. -- 8. Hierarchical decision making. -- Part II: Technical advances. -- 9. Improved temporal difference methods with linear function approximation. -- 10. Approximate dynamic programming for high-dimensional resource allocation problems. -- 11. Hierarchical approaches to concurrency, multiagency, and partial observability. -- 12. Learning and optimization - from a system theoretic perspective. -- 13. Robust reinforcement learning using integral-quadratic constraints. -- 14. Supervised actor-critic reinforcement learning. -- 15. BPTT and DAC - a common framework for comparison. -- Part III: Applications. -- 16. Near-optimal control via reinforcement learning. -- 17. Multiobjective control problems by reinforcement learning. -- 18. Adaptive critic based neural network for control-constrained agile missile. -- 19. Applications of approximate dynamic programming in power systems control. -- 20. Robust reinforcement learning for heating, ventilation, and air conditioning control of buildings. -- 21. Helicopter flight control using direct neural dynamic programming. -- 22. Toward dynamic stochastic optimal power flow. -- 23. Control, optimization, security, and self-healing of benchmark power systems. |
Record Nr. | UNINA-9910133842403321 |
Hoboken, New Jersey : , : IEEE Press, , c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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Handbook of learning and approximate dynamic programming / / [edited by] Jennie Si ... [et al.] |
Pubbl/distr/stampa | Hoboken, New Jersey : , : IEEE Press, , c2004 |
Descrizione fisica | 1 PDF (xxi, 644 pages) : illustrations |
Disciplina | 519.7/03 |
Altri autori (Persone) | SiJennie |
Collana | IEEE press series on computational intelligence |
Soggetto topico |
Dynamic programming
Automatic programming (Computer science) Machine learning Control theory Systems engineering Engineering & Applied Sciences Civil & Environmental Engineering Computer Science Operations Research |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Foreword. -- 1. ADP: goals, opportunities and principles. -- Part I: Overview. -- 2. Reinforcement learning and its relationship to supervised learning. -- 3. Model-based adaptive critic designs. -- 4. Guidance in the use of adaptive critics for control. -- 5. Direct neural dynamic programming. -- 6. The linear programming approach to approximate dynamic programming. -- 7. Reinforcement learning in large, high-dimensional state spaces. -- 8. Hierarchical decision making. -- Part II: Technical advances. -- 9. Improved temporal difference methods with linear function approximation. -- 10. Approximate dynamic programming for high-dimensional resource allocation problems. -- 11. Hierarchical approaches to concurrency, multiagency, and partial observability. -- 12. Learning and optimization - from a system theoretic perspective. -- 13. Robust reinforcement learning using integral-quadratic constraints. -- 14. Supervised actor-critic reinforcement learning. -- 15. BPTT and DAC - a common framework for comparison. -- Part III: Applications. -- 16. Near-optimal control via reinforcement learning. -- 17. Multiobjective control problems by reinforcement learning. -- 18. Adaptive critic based neural network for control-constrained agile missile. -- 19. Applications of approximate dynamic programming in power systems control. -- 20. Robust reinforcement learning for heating, ventilation, and air conditioning control of buildings. -- 21. Helicopter flight control using direct neural dynamic programming. -- 22. Toward dynamic stochastic optimal power flow. -- 23. Control, optimization, security, and self-healing of benchmark power systems. |
Record Nr. | UNISA-996216868103316 |
Hoboken, New Jersey : , : IEEE Press, , c2004 | ||
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Lo trovi qui: Univ. di Salerno | ||
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Handbook of learning and approximate dynamic programming / / [edited by] Jennie Si ... [et al.] |
Pubbl/distr/stampa | Hoboken, New Jersey : , : IEEE Press, , c2004 |
Descrizione fisica | 1 PDF (xxi, 644 pages) : illustrations |
Disciplina | 519.7/03 |
Altri autori (Persone) | SiJennie |
Collana | IEEE press series on computational intelligence |
Soggetto topico |
Dynamic programming
Automatic programming (Computer science) Machine learning Control theory Systems engineering Engineering & Applied Sciences Civil & Environmental Engineering Computer Science Operations Research |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Foreword. -- 1. ADP: goals, opportunities and principles. -- Part I: Overview. -- 2. Reinforcement learning and its relationship to supervised learning. -- 3. Model-based adaptive critic designs. -- 4. Guidance in the use of adaptive critics for control. -- 5. Direct neural dynamic programming. -- 6. The linear programming approach to approximate dynamic programming. -- 7. Reinforcement learning in large, high-dimensional state spaces. -- 8. Hierarchical decision making. -- Part II: Technical advances. -- 9. Improved temporal difference methods with linear function approximation. -- 10. Approximate dynamic programming for high-dimensional resource allocation problems. -- 11. Hierarchical approaches to concurrency, multiagency, and partial observability. -- 12. Learning and optimization - from a system theoretic perspective. -- 13. Robust reinforcement learning using integral-quadratic constraints. -- 14. Supervised actor-critic reinforcement learning. -- 15. BPTT and DAC - a common framework for comparison. -- Part III: Applications. -- 16. Near-optimal control via reinforcement learning. -- 17. Multiobjective control problems by reinforcement learning. -- 18. Adaptive critic based neural network for control-constrained agile missile. -- 19. Applications of approximate dynamic programming in power systems control. -- 20. Robust reinforcement learning for heating, ventilation, and air conditioning control of buildings. -- 21. Helicopter flight control using direct neural dynamic programming. -- 22. Toward dynamic stochastic optimal power flow. -- 23. Control, optimization, security, and self-healing of benchmark power systems. |
Record Nr. | UNINA-9910829994103321 |
Hoboken, New Jersey : , : IEEE Press, , c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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