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13 (p1): CHAPTER I FEEDBACK CONTROL AND THE CALCULUS OF VARIATIONS 13 (p1-1): 1.1 Introduction 13 (p1-2): 1.2 Mathematical description of a physical system 15 (p1-3): 1.3 Parenthetical 16 (p1-4): 1.4 Hereditary influences 17 (p1-5): 1.5 Criteria of performance 18 (p1-6): 1.6 Terminal control 18 (p1-7): 1.7 Control process 19 (p1-8): 1.8 Feedback control 20 (p1-9): 1.9 An alternate concept 21 (p1-10): 1.10 Feedback control as a variational problem 22 (p1-11): 1.11 The scalar variational problem 24 (p1-12): 1.12 Discussion 24 (p1-13): 1.13 Relative minimum versus absolute minimum 26 (p1-14): 1.14 Nonlinear differential equations 27 (p1-15): 1.15 Two-point boundary value problems 29 (p1-16): 1.16 An example of multiplicity of solution 30 (p1-17): 1.17 Non-analytic criteria 31 (p1-18): 1.18 Terminal control and implicit variational problems 32 (p1-19): 1.19 Constraints 34 (p1-20): 1.20 Linearity 35 (p1-21): 1.21 Summing up 36 (p1-22): Bibliography and discussion 41 (p2): CHAPTER II DYNAMICAL SYSTEMS AND TRANSFORMATIONS 41 (p2-1): 2.1 Introduction 41 (p2-2): 2.2 Functions of initial values 42 (p2-3): 2.3 The principle of causality 42 (p2-4): 2.4 The basic functional equation 43 (p2-5):

Author

RICHARD BELLMAN

Publisher

PRINCETON UNIVERSITY PRESS

Published

1961

Language

EN