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I. Describing the System and Evaluating Its Performance. 1. Introduction. 2. The Performance Measure. II. Dynamic Programming. 3. Dynamic Programming. III. The Calculus of Variations and Pontryagin's Minimum Principle. 4. The Calculus of Variations. 5. The Variational Approach to Optimal Control Problems. IV. Iterative Numerical Techniques for Finding Optimal Controls and Trajectories. 6. Numerical Determination of Optimal Trajectories. V. Conclusion. 7. Summation. Appendices. Index.