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Dynamic programming and the calculus of variations / / Stuart E. Dreyfus
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  
New York : , : Academic Press, , 1965
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Dynamical inverse problems of distributed systems / / V.I. Maksimov
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)  
Utrecht ; ; Boston : , : VSP, , 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Dynamical inverse problems of distributed systems / / V.I. Maksimov
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)  
Utrecht ; ; Boston : , : VSP, , 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Dynamical inverse problems of distributed systems / / V.I. Maksimov
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)  
Utrecht ; ; Boston : , : VSP, , 2002
Materiale a stampa
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
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  
Berlin ; New York : Springer-Verlag, 1968
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Foundations of non-stationary dynamic programming with discrete time parameter / K. Hinderer
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.  
Berlin ; New York : Springer-Verlag, 1970
Materiale a stampa
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From shortest paths to reinforcement learning : a MATLAB-based tutorial on dynamic programming / / Paolo Brandimarte
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  
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Handbook of learning and approximate dynamic programming / / [edited by] Jennie Si ... [et al.]
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Handbook of learning and approximate dynamic programming / / [edited by] Jennie Si ... [et al.]
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
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Handbook of learning and approximate dynamic programming / / [edited by] Jennie Si ... [et al.]
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui