Optimal control problems for hyperbolic distributed parameter systems with damping terms 減衰項を持つ減衰双曲型分布系の最適制御に関する研究

Access this Article

Search this Article

Author

    • 河, 準洪 ハ, ジュンホン

Bibliographic Information

Title

Optimal control problems for hyperbolic distributed parameter systems with damping terms

Other Title

減衰項を持つ減衰双曲型分布系の最適制御に関する研究

Author

河, 準洪

Author(Another name)

ハ, ジュンホン

University

神戸大学

Types of degree

博士 (理学)

Grant ID

甲第1589号

Degree year

1996-09-30

Note and Description

博士論文

Table of Contents

  1. Contents / p1 (0003.jp2)
  2. Preface / p3 (0004.jp2)
  3. Acknowledgements / p5 (0005.jp2)
  4. Table of Notations / p7 (0006.jp2)
  5. 1 Quadratic Optimal Control Problem For Linear Damped Second Order Systems / p1 (0008.jp2)
  6. 1.1 Introduction / p1 (0008.jp2)
  7. 1.2 Existence,uniqueness and regularity / p5 (0010.jp2)
  8. 1.3 Applications to partial differential equations / p22 (0019.jp2)
  9. 1.4 Quadratic optimal control problem / p32 (0024.jp2)
  10. 1.5 Transposition and necessary conditions of optimality / p43 (0029.jp2)
  11. 1.6 Applications to partial differential equations / p47 (0031.jp2)
  12. 2 Approximate Controllability For Damped Linear Second Order Systems / p83 (0049.jp2)
  13. 2.1 Introduction / p83 (0049.jp2)
  14. 2.2 Approximate controllability / p84 (0050.jp2)
  15. 2.3 Applications to partial differential equations / p87 (0051.jp2)
  16. 3 Decoupling Problem And Riccati Equation / p91 (0053.jp2)
  17. 3.1 Introduction / p91 (0053.jp2)
  18. 3.2 Semigroup formulation / p92 (0054.jp2)
  19. 3.3 Existence and uniqueness of solutions to the Riccati equation / p98 (0057.jp2)
  20. 4 Quadratic Optimal Control Problem For Nonlinear Damped Second Order Systems / p115 (0065.jp2)
  21. 4.1 Introduction / p115 (0065.jp2)
  22. 4.2 Existence and uniqueness / p117 (0066.jp2)
  23. 4.3 Proof of Theorem 4.1 / p119 (0067.jp2)
  24. 4.4 Energy equality and regularity / p127 (0071.jp2)
  25. 4.5 Quadratic optimal control problem / p129 (0072.jp2)
  26. 4.6 Necessary conditions of optimality / p135 (0075.jp2)
  27. 4.7 Transposition and necessary conditions of optimality / p146 (0081.jp2)
  28. 4.8 Applications to the Sine-Gordon equation / p151 (0083.jp2)
  29. 5 Conclusion / p157 (0086.jp2)
  30. Bibliography / p159 (0087.jp2)
3access

Codes

  • NII Article ID (NAID)
    500000150575
  • NII Author ID (NRID)
    • 8000001061421
  • DOI(NDL)
  • NDLBibID
    • 000000314889
  • Source
    • NDL ONLINE
    • NDL Digital Collections

Export

Page Top