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  • 1
    UID:
    almahu_9949697813402882
    Format: 1 online resource (329 p.)
    ISBN: 1-282-28965-9 , 9786612289651 , 0-08-095548-7
    Series Statement: Mathematics in science and engineering ; v. 40-2
    Content: Introduction to the Mathematical Theory of Control Processes: Nonlinear Processes v. 2
    Note: Description based upon print version of record. , Front Cover; Introduction to the Mathematical Theory of Control Processes; Copyright Page; Contents; Preface; Chapter 1. Basic Concepts of Control Theory; 1.1. Introduction; 1.2. Systems and State Variables; 1.3. Discussion; 1.4. Control Variables; 1.5. Criterion Function; 1.6. Control Processes; 1.7. Analytic Aspects; 1.8. Computational Aspects; 1.9. Event versus Time Orientation; 1.10. Discrete versus Continuous; Bibliography and Comments; Chapter 2. Discrete Control Processes and Dynamic Programming; 2.1. Introduction; 2.2. Existence of a Minimum; 2.3. Uniqueness , 2.4. Dynamic Programming Approach2.5. Recurrence Relations; 2.6. Imbedding; 2.7. Policies; 2.8. Principle of Optimality; 2.9. Discussion; 2.10. Time Dependence; 2.11. Constraints; 2.12. Analytic Aspects; 2.13. Marginal Returns; 2.14. Linear Equations and Quadratic Criteria; Exercises; 2.15. Discussion; Exercise; 2.16. An Example of Constraints; 2.17. Summary of Results; Exercises; 2.18. Lagrange Parameter; 2.19. Discussion; Exercises; 2.20. Courant Parameter; Exercises; 2.21. Infinite Processes; 2.22. Approximation in Policy Space; 2.23. Minimum of Maximum Deviation; Exercises , 2.24. Discrete Stochastic Control ProcessesMiscellaneous Exercises; Bibliography and Comments; Chapter 3. Computational Aspects of Dynamic Programming; 3.1. Introduction; 3.2. Discretization; 3.3. Minimization; 3.4. Storage Requirements : Discretion in the Use of Discretization; 3.5. Time Requirements; 3.6. Discussion; 3.7. Simplified Policies; 3.8. Stability; 3.9. Computing as a Control Process; 3.10. Stability Analysis; 3.11. Functions and Solutions; Exercise; 3.12. Interpolation; 3.13. Computational Procedure; 3.14. Evaluation of Polynomials; 3.15. Orthogonal Polynomials and Quadrature , 3.16. Polygonal Approximation3.17. Adaptive Polygonal Approximation; 3.18. Dynamic Programming Approach; Exercises; 3.19. Linkage; Exercise; 3.20. Search Processes; 3.21. Discussion; 3.22. Continuity; Exercise; 3.23. Restriction to Grid Points; 3.24. Multidimensional Case; Miscellaneous Exercises; Bibliography and Comments; Chapter 4. Continuous Control Processes and the Calculus of Variations; 4.1. Introduction; 4.2. The Quadratic Case; 4.3. Discussion; 4.4. Formal Derivation of the Euler Equation; 4.5. Haar's Device; Exercises; 4.6. Discussion; 4.7. Nonexistence of a Minimum-I; Exercise , 4.8. Nonexistence of a Minimum-IIExercise; 4.9. Nonexistence of a Minimum-III; 4.10. Existence of Solution of Euler Equation; 4.11. Successive Approximations; Exercises; 4.12. Conditional Uniqueness; 4.13. A Plethora of Geodesics; Exercises; 4.14. A Priori Bounds; Exercises; 4.15. Convexity; Exercises; 4.16. Sufficient Condition for Absolute Minimum; 4.17. Uniqueness of Solution of Euler Equation; 4.18. Demonstration of Minimizing Property-Small T; 4.19. Discussion; 4.20. Solution as Function of Initial State; Exercises; 4.21. Solution as Function of Duration of Process , 4.22. The Return Function , English
    Additional Edition: ISBN 0-12-084802-3
    Language: English
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  • 2
    UID:
    gbv_1655656163
    Format: Online Ressource (xix, 306 pages)
    ISBN: 0120848023 , 9780080955483 , 0080955487 , 9780120848027
    Series Statement: Mathematics in science and engineering vol. 40, pt. 2
    Content: Introduction to the Mathematical Theory of Control Processes: Nonlinear Processes v. 2
    Note: Includes bibliographical references and indexes. - Print version record , Basic concepts of control theoryDiscrete control processes and dynamic programming -- Computational aspects of dynamic programming -- Continuous control processes and the calculus of variations -- Computationals aspects of the calculus of variations -- Continuous aspects of the calculus of variations -- Continuous control processes and dynamics programming -- Limiting behavior of discrete processes -- Asymptotic control theory -- Duality and upper and lower bounds -- Abstract control processes and routing -- Reduction of dimensionality -- Distributed control processes and the calculus of variations -- Distributed control processes and dynamics programming -- Some directions of research. , Basic concepts of control theory -- Discrete control processes and dynamic programming -- Computational aspects of dynamic programming -- Continuous control processes and the calculus of variations -- Computationals aspects of the calculus of variations -- Continuous aspects of the calculus of variations -- Continuous control processes and dynamics programming -- Limiting behavior of discrete processes -- Asymptotic control theory -- Duality and upper and lower bounds -- Abstract control processes and routing -- Reduction of dimensionality -- Distributed control processes and the calculus of variations -- Distributed control processes and dynamics programming -- Some directions of research.
    Additional Edition: ISBN 0120848023
    Additional Edition: ISBN 9780120848027
    Additional Edition: Erscheint auch als Druck-Ausgabe Bellman, Richard, 1920-1984 Introduction to the mathematical theory of control processes. Vol. 2., Nonlinear processes New York : Academic Press, 1971
    Language: English
    Keywords: Electronic books ; Electronic books
    Author information: Bellman, Richard 1920-1984
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  • 3
    UID:
    gbv_1655653393
    Format: Online Ressource (xvi, 245 pages)
    ISBN: 0120848023 , 0120848015 , 9780080955476 , 0080955479 , 9780120848010
    Series Statement: Mathematics in science and engineering 40
    Content: Introduction to the Mathematical Theory of Control Processes: Linear Equations and Quadratic Criteria v. 1
    Note: Includes bibliographical references and index. - Print version record , What is control theory? -- Second-order linear differential and difference equations -- Stability and control -- Continuous variational processes : calculus of variations -- Dynamic programming -- Review of matrix theory and linear differential equations -- Multidimensional control processes via the calculus of variations -- Multidimensional control processes via dynamic programming -- Functional analysis.
    Additional Edition: ISBN 0120848015
    Additional Edition: ISBN 9780120848010
    Additional Edition: Erscheint auch als Druck-Ausgabe Bellman, Richard, 1920-1984 Introduction to the mathematical theory of control processes. 1, Linear equations and quadratic criteria New York : Academic Press, 1967
    Language: English
    Keywords: Electronic books ; Electronic books
    Author information: Bellman, Richard 1920-1984
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  • 4
    Book
    Book
    New York, NY [u.a.] : Academic Press
    UID:
    gbv_031846203
    Format: XIX, 306 S. , 8°
    ISBN: 0120848023
    Series Statement: Introduction to the mathematical theory of control processes / Richard Bellman Vol. 2
    Language: English
    Author information: Bellman, Richard 1920-1984
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  • 5
    UID:
    b3kat_BV002625173
    Format: XIX, 306 S.
    ISBN: 0120848023
    Series Statement: Mathematics in science and engineering 40,2
    In: 2
    Language: English
    Author information: Bellman, Richard 1920-1984
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  • 6
    UID:
    almafu_BV002625173
    Format: XIX, 306 S.
    ISBN: 0-12-084802-3
    Series Statement: Mathematics in science and engineering 40,2
    In: Introduction to the mathematical theory of control processes.
    Language: English
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  • 7
    UID:
    b3kat_BV002321795
    ISBN: 0120848015 , 0120848023
    Series Statement: Mathematics in science and engineering 40
    Note: Erschienen: 1 - 2
    Language: English
    Subjects: Economics , Mathematics
    RVK:
    RVK:
    RVK:
    Keywords: Kontrolltheorie ; Lehrbuch
    Author information: Bellman, Richard 1920-1984
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  • 8
    UID:
    almafu_BV002321795
    ISBN: 0-12-084801-5 , 0-12-084802-3
    Series Statement: Mathematics in science and engineering 40
    Note: Erschienen: 1 - 2
    Language: English
    Subjects: Economics , Mathematics
    RVK:
    RVK:
    RVK:
    Keywords: Kontrolltheorie ; Lehrbuch
    Author information: Bellman, Richard 1920-1984
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