Constrained Optimization in the Calculus of Variations and Optimal Control Theory - Info and Reading Options

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Cover -- Half Title -- Copyright Page -- Dedication -- Table of Contents -- Preface -- 1 The Finite Dimensional Problem -- 1.1 The Free Problem -- 1.2 The Equality Constrained Problem -- 1.3 The Inequality Constrained Problem -- 1.4 Newton's Method -- 2 The Basic Theory of the Calculus of Variations -- 2.1 Introduction -- 2.2 Some Examples -- 2.3 Critical Point Conditions -- 2.4 Additional Necessary Conditions -- 3 Additional Topics -- 3.1 Miscellaneous Results -- 3.2 Sufficiency Theory -- 3.3 Several Dependent Variables -- 4 Optimal Control -- 4.1 A Basic Problem -- 4.2 The Minimal Time Problem: An Example of Abnormality -- 5 Unconstrained Reformulations -- 5.1 The Optimal Control Problems -- 5.2 Constrained Calculus of Variations Problems -- 5.3 Kuhn-Tucker Reformulation -- 6 Numerical Theory. Methods and Results -- 6.1 The Basic Problem in Calculus of Variations -- 6.2 Numerical Transversality Conditions for -- 6.3 Kuhn-Tucker Method -- 6.4 Higher Order Algorithm -- 6.5 Partial Differential Equations -- Appendix A: Detailed References -- Appendix B: Uses of This Book -- Appendix C: Additional Problems -- References -- Index

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