Optimal design in dynamic systems with boundary conditions 境界条件を持つ動的システムの最適設計法
この論文にアクセスする
この論文をさがす
著者
書誌事項
- タイトル
-
Optimal design in dynamic systems with boundary conditions
- タイトル別名
-
境界条件を持つ動的システムの最適設計法
- 著者名
-
Vasilieva Olga
- 著者別名
-
バジリエガ オルガ
- 学位授与大学
-
広島大学
- 取得学位
-
博士 (工学)
- 学位授与番号
-
甲第1668号
- 学位授与年月日
-
1997-03-25
注記・抄録
博士論文
目次
- Contents / p1 (0004.jp2)
- 1 Introduction / p5 (0006.jp2)
- 2 Boundary Value Problem. Existence of Solution and Numerical Methods for Integration / p15 (0011.jp2)
- 2.1 Problem Formulation / p15 (0011.jp2)
- 2.2 Solvability Condition in Linear Boundary Value Problem / p17 (0012.jp2)
- 2.3 Analogy of Cauchy Formula / p19 (0013.jp2)
- 2.4 Numerical Integration Methods for Nonlinear Boundary Value Problem / p20 (0014.jp2)
- 3 Necessary Conditions for Optimality in Dynamic Processes Governed by Boundary Value Problems / p31 (0019.jp2)
- 3.1 Problem Formulation / p31 (0019.jp2)
- 3.2 First-Order Increment Formulae for Performance Index / p36 (0022.jp2)
- 3.3 The Maximum Principle / p42 (0025.jp2)
- 3.4 Proof of the Maximum Principle / p44 (0026.jp2)
- 4 Optimal Design Algorithms / p48 (0028.jp2)
- 4.1 Successive Approximation Algorithm / p48 (0028.jp2)
- 4.2 One Modification of Successive Approximation Algorithm / p54 (0031.jp2)
- 4.3 Two-Parameter Iterative Process / p61 (0034.jp2)
- 4.4 Numerical and Visual Examples / p68 (0038.jp2)
- 5 Singular Controllers / p84 (0046.jp2)
- 5.1 Preliminaries / p84 (0046.jp2)
- 5.2 Second-Order Increment Formula for Performance Index / p86 (0047.jp2)
- 5.3 Second-Order Variation and Optimality Criterion for Singular Control / p92 (0050.jp2)
- 5.4 Application of Second-Order Optimality Criterion / p97 (0052.jp2)
- 6 Method of Quadratic Approximation in Control Problems with Boundary Conditions / p103 (0055.jp2)
- 6.1 Linear-Quadratic Problem / p103 (0055.jp2)
- 6.2 Linear-Quadratic Problem of Variable Structure / p107 (0057.jp2)
- 6.3 Practical Example / p109 (0058.jp2)
- 7 Conclusions / p119 (0063.jp2)
- Bibliography / p122 (0065.jp2)