Interpolation all-pass matrices and their application to Hankel-norm model degree reduction 補間全域通過行列とそのハンケルノルム基準モデル簡略化への応用
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Bibliographic Information
- Title
-
Interpolation all-pass matrices and their application to Hankel-norm model degree reduction
- Other Title
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補間全域通過行列とそのハンケルノルム基準モデル簡略化への応用
- Author
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大羽, 達志
- Author(Another name)
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オオバ, タツシ
- University
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名古屋工業大学
- Types of degree
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工学博士
- Grant ID
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甲第56号
- Degree year
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1991-03-23
Note and Description
博士論文
Table of Contents
- CONTENTS / p7 (0007.jp2)
- Preface / p1 (0004.jp2)
- Symbols / p5 (0006.jp2)
- 1.Background Linear System Theories / p8 (0008.jp2)
- 1-1.Transfer Function Matrices and Diagrams / p8 (0008.jp2)
- 1-2.Connections of the Transfer Function Matrices / p11 (0009.jp2)
- 1-3.Lyapunov Equations and System Gramians / p16 (0012.jp2)
- 1-4.Unitary Matrices / p19 (0013.jp2)
- 1-5.Linear Fractional Maps / p21 (0014.jp2)
- 1-6.Regular Hermitian Pencils / p24 (0016.jp2)
- 2.Hankel Norm Model Reduction Problem / p30 (0019.jp2)
- 2-1.Function Spaces / p30 (0019.jp2)
- 2-2.Hankel Operator / p32 (0020.jp2)
- 2-3.Hankel-Norm Model Degree Reduction Problem / p38 (0023.jp2)
- 3.Factorization Theory / p41 (0024.jp2)
- 3-1.Coprime Factorization over RH∞ / p41 (0024.jp2)
- 3-2.Zero Interpolating Unitary Matrices / p42 (0025.jp2)
- 3-3.Coprime Factorization by Unitary Matrices / p46 (0027.jp2)
- 4.Directional Interpolation All-pass Matrices / p49 (0028.jp2)
- 4-1.Generalized Pick Matrix / p49 (0028.jp2)
- 4-2.All-pass Interpolant / p51 (0029.jp2)
- 5.Interpolation Approach to Hankel Norm Reduction Problem / p54 (0031.jp2)
- 5-1.A Hankel-Norm Approximation via All-pass Interpolant / p54 (0031.jp2)
- 5-2.Expression of All Approximations / p57 (0032.jp2)
- 5-3.Example / p61 (0034.jp2)
- 6.Two Sided Interpolation All-pass Matrices / p67 (0037.jp2)
- 6-1.Two Sided Interpolation Requirements / p67 (0037.jp2)
- 6-2.Example / p74 (0041.jp2)
- References / p76 (0042.jp2)