| 摘要 | 第1-5页 |
| Abstract | 第5-16页 |
| 1. Introduction | 第16-22页 |
| ·Background | 第16页 |
| ·Review on Time Optimal Control Problem | 第16-18页 |
| ·Main Purposes | 第18-20页 |
| ·Organization of This thesis | 第20-22页 |
| 2. Mathematical Preliminaries | 第22-31页 |
| ·Some Important Theorems | 第22-23页 |
| ·Semigroup Theory | 第23-26页 |
| ·General Evolution Equations on Banach Spaces | 第26-28页 |
| ·Partial Differential Equations | 第28-29页 |
| ·Meyer Approximation of Time Optimal Control on Finite Dimensional Spaces | 第29-31页 |
| 3. Existence of Solutions for A Class of Integro-Differential Equations on Banach Spaces | 第31-40页 |
| ·Gronwall Lemma and Integro Operator | 第31-33页 |
| ·Existence of Solutions of Integro-Differential Equations | 第33-36页 |
| ·Continuous Dependence of Initial Value | 第36页 |
| ·Regularity and Approximation of Mild Solution | 第36-38页 |
| ·Weak Solution and Strong Solution | 第38-40页 |
| 4. Time Optimal Control of System Governed by Integro-Differential Equations | 第40-55页 |
| ·System Description and Time Optimal Control Problem | 第40-42页 |
| ·Existence of Time Optimal Controls for The Target is a Fixed Point | 第42-49页 |
| ·Existence of Time Optimal Controls for The Target is a Set Varying with Time | 第49-55页 |
| 5. Meyer Approximation of Time Optimal Control on Inflnite Dimensional Spaces | 第55-75页 |
| ·Meyer Approximation of Time Optimal Control of System Governed by Semi-linear Equations | 第55-66页 |
| ·Meyer Approximation of Time Optimal Control of System Governed by Nonlinear Equations | 第66-75页 |
| 6. Conclusion and Further Work | 第75-76页 |
| Acknowledgements | 第76-77页 |
| Bibliography | 第77-82页 |
| Publications | 第82-83页 |
| 原创性声明 | 第83页 |
| 使用授权的声明 | 第83页 |
