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博碩士論文 etd-1028102-135625 詳細資訊
Title page for etd-1028102-135625
論文名稱
Title
Neutral系統穩定性及穩定化之一些論點
Some Aspects of Neutral Systems: Stability Analysis and Stabilization
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
80
研究生
Author
指導教授
Advisor
召集委員
Convenor
口試委員
Advisory Committee
口試日期
Date of Exam
2002-10-18
繳交日期
Date of Submission
2002-10-28
關鍵字
Keywords
穩定化、穩定性、Neutral系統
Stabilization, Stability, Neutral Systems
統計
Statistics
本論文已被瀏覽 5823 次,被下載 3410
The thesis/dissertation has been browsed 5823 times, has been downloaded 3410 times.
中文摘要
摘要

本論文將考慮Neutral系統穩定性及穩定化的問題。首先,本文對幾種不同類型的Neutral系統,包括離散和分佈時間延遲系統,利用李阿普諾夫泛函法作穩定性分析,本文提出幾個和時間延遲有關或無關的穩定性判斷準則。再者,我們利用線性矩陣不等式這個有力的求解工具,對Neutral系統的作穩定性分析。在這部分,本文也同樣提出和時間延遲相關或無關的穩定性判斷準則。在第三部份,本文將考慮Neutral系統的穩定化問題。本文將分別提出對多重時間延遲Neutral系統和具輸入延遲之Neutral系統的穩定化判則。另外,本文也將提供一個基於觀測器的控制器設計法則。本論文在相關議題所作之改進,將儘量和相關文獻的成果比較。此外,本文也將提供一些範例以說明我們的主要成果。

Abstract
ABSTRACT

In this dissertation, the stability analysis and stabilization problems of neutral systems are investigated. Firstly, the stability analysis of various classes of neutral systems, including discrete and distributed time-delay systems, are investigated by using Lyapunov functional approach. Delay-dependent and delay-independent criteria are proposed. Secondly, we consider the stability problems of neutral systems by using the powerful LMI tools. In this part, we also provide delay-dependent and delay-independent criteria for the stability of neutral systems under consideration. Finally, the stabilization problems of neutral systems are considered. We will propose stabilizability criteria for neutral systems with multiple time delays and with input delay, respectively. We will provide an observer-based controller design method. The improvements of our results over those results recently published in related literature are illustrated if the comparisons are possible. Examples are given in appropriate places to illustrate our main results.

目次 Table of Contents
CONTENTS
誌謝 i
摘要 ii
ABSTRACT iii
NOMENCLATURE iv
CHAPTER 1 INTRODUCTION 1
1.1 Motivation …………………………………………………………………………1
1.2 Brief Sketch of the Contents ……………………………………………………3
CHAPTER 2 MATHEMATICAL PRELIMINARIES 5
CHAPTER 3 STABILITY ANALYSIS OF NEUTRAL SYSTEMS: LYAPUNOV FUNCTIONAL APPROACH 9
3.1 Introduction ……………………………………………………………………… 9
3.2 Discrete Time-delay Systems ………………………………………………… 10
3.3 Discrete and Distributed Time-delay Systems ………………………………20
3.4 Discrete and Distributed Multiple Time-delay Systems ………………… 24
CHAPTER 4 STABILITY ANALYSIS OF NEUTRAL SYSTEMS: LMI APPROACH 33
4.1 Introduction ……………………………………………………………………… 33
4.2 Delay-dependent Criterion……………………………………………………… 34
4.3 Delay-independent Criterion…………………………………………………… 40
CHAPTER 5 STABILIZATION OF NEUTRAL SYSTEMS 46
5.1 Introduction ……………………………………………………………………… 46
5.2 Neutral System with Multiple Time Delays…………………………………… 47
5.3 Neutral System with Input Delay……………………………………………… 55
5.4 Observer-based Control Design …………………………………………………61
CHAPTER 6 DISCUSSIONS AND CONCLUSIONS 68
REFERENCES 72
參考文獻 References
REFERENCES

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