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Student Number 87324046
Author Day-Ru Wu(§d©§¾§)
Author's Email Address No Public.
Statistics This thesis had been viewed 2347 times. Download 1319 times.
Department Electrical Engineering
Year 1999
Semester 2
Degree Master
Type of Document Master's Thesis
Language zh-TW.Big5 Chinese
Title Analysis of Time-Delay Systems
Date of Defense 2000-07-04
Page Count 58
Keyword
  • asymptotic stability
  • Commensurate delays
  • decay rate
  • delay interval
  • time delay
  • Abstract In this thesis, stability of linear time-invariant time-delay systems is considered. An imaginary axis intersection sequence of delay times is decided. Then some necessary and sufficient conditions for stability are derived. Therefore, the maximum delay time interval is obtained. In addition, the multiple delay time intervals allowed may be determined. And using the scheme proposed in this thesis, some examples reveal that time-delay systems stability is not necessary that the allowable delay time must vary from zero. In the sequel, stability of linear time-invariant systems with multiple time delays is considered. Finally, linear time- delay systems with decay rate that is dependent on the delay is studied. Some examples are provided to illustrate the merits of the proposed method.
    Table of Content ABSTRACT i
    LIST OF FIGURES ii
    CHAPTER 1 Introduction 1
    1.1Motivation 1
    1.2Literature Survey 2
    1.3Organization of this thesis 3
    CHAPTER 2 Delay Time Intervals for Stability of Time-Delay Systems 4
    2.1 Introduction 4
    2.2 Problem Formulation 5
    2.3 Main Results 5
    2.4 Examples 8
    2.5 Conclusions 12
    Chapter 3 Stability of Linear Time-Invariant System with Commensurate Delays 19
    3.1 Introduction 19
    3.2 Problem Formulation 20
    3.3 Main Results 21
    3.4 Examples 25
    3.5 Conclusions 27
    Chapter 4 Stability of Time-Delay Systems with the Decay Rate 35
    4.1 Introduction 35
    4.2 Problem Formulation 36
    4.3 Main Results 36
    4.4 Examples 41
    4.5 Conclusions 45
    Chapter 5 Conclusions and Future Research 51
    List of Figures
    Fig 2.1: The graph in (2.6) for Example 2.1 13
    Fig 2.2: The plot with for Example 2.1 13
    Fig 2.3: The plot with for Example 2.2 14
    Fig 2.4: The graph in (2.6) for Example 2.3 14
    Fig 2.5: The plot with for Example 2.3 15 Fig 2.6: The plot with for Example 2.3 15
    Fig 2.7: State trajectories with time delay for Example 2.3 16
    Fig 2.8: The graph in (2.6) for Example 2.4 16
    Fig 2.9: The plot with for Example 2.4 17
    Fig 2.10: The plot with for Example 2.4 17
    Fig 2.11:State trajectories with time delay for Example 2.4 18
    Fig 2.12:State trajectories with time delay for Example 2.4 18
    Fig 3.1:The graph in (3.6) for Example 3.1 28
    Fig 3.2: The plot with for Example 3.1 28
    Fig 3.3: The plot with for Example 3.1 29
    Fig 3.4: State trajectories with time delay for Example 3.1 29
    Fig 3.5: State trajectories with time delay for Example 3.1 30
    Fig 3.6: State trajectories with time delay for Example 3.1 30
    Fig 3.7: The graph in (3.6) for Example 3.2 31
    Fig 3.8: The plot with for Example 3.2 31
    Fig 3.9: The plot with for Example 3.2 32
    Fig 3.10:State trajectories with time delay for Example 3.2 32
    Fig 3.11:State trajectories with time delay for Example 3.2 33
    Fig 3.12:State trajectories with time delay for Example 3.2 33
    Fig 3.13:State trajectories with time delay for Example 3.2 34
    Figure 4.1: The contour D 46
    Figure 4.2: The plot with and decay rate for Example 4.1 46
    Figure 4.3: The plot with and decay rate for Example 4.2 47
    Figure 4.4: The plot with and decay rate for Example 4.2 47
    Figure 4.5: The plot with and decay rate for Example 4.3 48
    Figure 4.6: The plot with and decay rate for Example 4.3 48
    Figure 4.7: The plot with and decay rate for Example 4.4 49
    Figure 4.8: The plot with and decay rate for Example 4.4 49
    Figure 4.9: The plot with and decay rate for Example 4.5 50
    Figure 4.10:The plot with and decay rate for Example 4.5 50
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    Advisor
  • Yau-Tarng Juang(²ø³ó´Å)
  • Files
  • 87324046.pdf
  • approve immediately
    Date of Submission 2000-07-04

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