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On The Pontryagin Maximum Principle For Optimal Control Problems
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 하승열 | - |
| dc.contributor.author | 이병찬 | - |
| dc.date.accessioned | 2017-07-19T09:02:00Z | - |
| dc.date.available | 2017-07-19T09:02:00Z | - |
| dc.date.issued | 2017-02 | - |
| dc.identifier.other | 000000141644 | - |
| dc.identifier.uri | https://hdl.handle.net/10371/131517 | - |
| dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2017. 2. 하승열. | - |
| dc.description.abstract | The purpose of this thesis is to present a survey on the Pontryagin maximum principle. The main purpose of optimal control theory is to find an optimal control and its corresponding optimal trajectory. However, due to the hardness of finding an optimal solution of a given system directly, it is useful to use necessary conditions for optimal solutions. In this thesis, we introduce Pontryagin maximum principle for discrete and continuous systems and provide their proofs. We also find an optimal control for some specific examples with the necessary condition. | - |
| dc.description.tableofcontents | 1 Introduction 1
2 Preliminaries 3 2.1 History of Pontryagin maximum principle 3 2.2 The Euler-Lagrange Equations 5 2.3 Hamilton's Equations 7 3 Pontryagin Maximum Principle For Discrete Models 10 3.1 Fixed Time-Free Endpoint Problem 10 3.2 Free Time-Fixed Endpoint Problem 32 4 Pontryagin Maximum Principle For Continuous Models 35 4.1 Fixed Time-Free Endpoint Problem 35 4.2 Free Time-Fixed Endpoint Problem 49 5 Conclusion 79 Bibliography 81 국문초록 83 | - |
| dc.format | application/pdf | - |
| dc.format.extent | 3097304 bytes | - |
| dc.format.medium | application/pdf | - |
| dc.language.iso | en | - |
| dc.publisher | 서울대학교 대학원 | - |
| dc.subject | Continuous system | - |
| dc.subject | Discrete system | - |
| dc.subject | Hamilton's equations | - |
| dc.subject | Optimal control | - |
| dc.subject | Pontryagin maximum principle | - |
| dc.subject.ddc | 510 | - |
| dc.title | On The Pontryagin Maximum Principle For Optimal Control Problems | - |
| dc.type | Thesis | - |
| dc.description.degree | Master | - |
| dc.citation.pages | 82 | - |
| dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
| dc.date.awarded | 2017-02 | - |
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