Studies on generalized algebraic riccati equation for descriptor systems and its applications

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タイトル: Studies on generalized algebraic riccati equation for descriptor systems and its applications

博士論文

資料形態 : テキストデータプレーンテキスト

コレクション : 国立国会図書館デジタルコレクション > デジタル化資料 > 博士論文

論文目録
Abstract
Contents
Symbols
1 Introduction
1.1 Advantage of Descriptor System
1.2 Motivation of Study
1.3 Outline of This Thesis
2 Basic Facts of Matrix Pencil and Descriptor System
2.1 Matrix Pencil
2.2 Descriptor System
3 Dissipation Inequality and GARE for LQ Control Problem for Descriptor System
3.1 Introduction
3.2 Problem Formulation
3.3 Dissipation Inequality
3.4 LMI and GARE
3.5 DLQCP⁺
3.6 Conclusions
4 Necessary and Sufficient Conditions for Existence of Stabilizing Solution of GARE
4.1 Introduction
4.2 Main Result
4.3 Numerical Example
4.4 Bounded Real and Positive Real Lemmas
4.5 Conclusions
5 Standard J-Spectral Factorization of Rational Matrices via GARE
5.1 Introduction
5.2 Problem Formulation
5.3 Canonical J-Spectral Factorization
5.4 Main Result
5.5 Numerical Example
5.6 Conclusions
6 H∞ Control with Unstable Weighting Functions
6.1 Introduction
6.2 Problem Formulation and Comprehensive Stabilizing Controllers
6.3 Construction of Canonical Form
6.4 Solution to Extended H∞ Control Problem
6.5 Design Example
6.6 Conclusions
7 Non-Standard J-Spectral Factorization of Rational Matrices via GARE
7.1 Introduction
7.2 Problem Formulation
7.3 [数式] Zero Compensator of DS
7.4 Solution to NS-J-SFP
7.5 Alternative Proof for Spectral Factorization
7.6 Conclusions
Appendix
A Construction of Infinite Eigensubspace of Ha(s)
8 Conclusions
Bibliography