Semigroup model and stabilization problem for elastic systems with internal damping 内部減衰を含む弾性系の半群モデルと安定化
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Bibliographic Information
- Title
-
Semigroup model and stabilization problem for elastic systems with internal damping
- Other Title
-
内部減衰を含む弾性系の半群モデルと安定化
- Author
-
伊藤, 一帆
- Author(Another name)
-
イトウ, カズホ
- University
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慶應義塾大学
- Types of degree
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工学博士
- Grant ID
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甲第1083号
- Degree year
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1991-03-05
Note and Description
博士論文
Table of Contents
- 論文目録 / p8 (0001.jp2)
- Contents / p4 (0007.jp2)
- I.Introduction / p1 (0009.jp2)
- II.Control Objects: Four Elastic Beams with Internal Dampings / p6 (0014.jp2)
- 1.Fundamental Theory of Elasticity / p7 (0015.jp2)
- 2.Four Elastic Beams with Internal Dampings / p16 (0024.jp2)
- 3.Related Previous Researches / p22 (0030.jp2)
- References / p25 (0033.jp2)
- III.Mathematical Preliminaries / p27 (0035.jp2)
- 1.Hilbert Space and Function Spaces / p28 (0036.jp2)
- 2.Linear Operators / p30 (0038.jp2)
- 3.Evolution Equation / p37 (0045.jp2)
- 4.Semigroups / p39 (0047.jp2)
- 5.Stability / p41 (0049.jp2)
- References / p42 (0050.jp2)
- IV.Generalized Euler Problem under Distributed Control / p43 (0051.jp2)
- 1.Generalized Euler Problem / p44 (0052.jp2)
- 2.First Order Evolution Equation / p45 (0053.jp2)
- 3.Analytic Semigroup / p47 (0055.jp2)
- 4.Finite Dimensional Stabilizing Compensator / p52 (0060.jp2)
- 5.Summation / p56 (0064.jp2)
- References / p57 (0065.jp2)
- V.Beck's Problem / p58 (0066.jp2)
- 1.Introduction / p59 (0067.jp2)
- 2.Evolution Equations / p60 (0068.jp2)
- 3.Analytic Semigroup and its Estimate / p63 (0071.jp2)
- 4.Summation and Remarks on Feedback Control / p65 (0073.jp2)
- References / p66 (0074.jp2)
- VI.Nonlinear Extensible Beam under Distributed Control / p67 (0075.jp2)
- 1.Nonlinear Beam Equation / p68 (0076.jp2)
- 2.Evolution Equations / p69 (0077.jp2)
- 3.Cauchy Problem / p72 (0080.jp2)
- 4.Stability of Unforced System / p75 (0083.jp2)
- 5.Control System / p81 (0089.jp2)
- 6.Stability of Overall Control System / p85 (0093.jp2)
- 7.Summation / p87 (0095.jp2)
- References / p91 (0099.jp2)
- VII.Timoshenko Beam under Boundary Control / p92 (0100.jp2)
- 1.The Timoshenko Beam Equation / p93 (0101.jp2)
- 2.Evolution Equation / p95 (0103.jp2)
- 3.Analytic Semigroup / p98 (0106.jp2)
- 4.Stability of Control System / p105 (0113.jp2)
- 5.Summation / p113 (0121.jp2)
- References / p114 (0122.jp2)
- VIII.Conclusions / p115 (0123.jp2)