| Contents | 6 |
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| Preliminaries | 7 |
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| 1 Introduction | 7 |
| References | 10 |
| Finite-Time Control Problem | 12 |
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| 1 Finite-Time Control Problem: Variational Method | 12 |
| 2 Definitions and Basic Concepts | 12 |
| 2.1 Main Results | 15 |
| 2.2 Numerical Method for the Necessary Optimal Condition | 17 |
| 2.3 Numerical Example | 22 |
| 2.4 Experimental Results from a DC Motor Device | 24 |
| 3 Finite-Time Control Problem: Descendent Methods | 28 |
| 3.1 Preliminaries | 28 |
| 3.2 Main Results | 29 |
| 3.3 Methodology | 33 |
| 3.4 Numerical Evaluations | 34 |
| 3.5 Concluding Remarks | 35 |
| 4 Next Chapter: Approximation Method | 35 |
| References | 37 |
| Approximation of the Optimal Long-Run Average-Cost Control Problem | 39 |
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| 1 Preliminaries | 39 |
| 2 Notation and Main Results | 42 |
| 2.1 Discounted Criterion and the Main Result | 43 |
| 3 Numerical Example | 45 |
| 4 Proof of Theorem 3.1 | 46 |
| 4.1 Proof of Theorem 3.1 Continued | 48 |
| 5 Concluding Remarks | 49 |
| References | 50 |
| Series Editor's Biographies | 51 |
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