Analysis and synthesis of linear time-variable systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berkeley [u.a.]
Univ. of California Press
1964
|
| Series: | Science surveys
1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Teilw. zugl.: Univ. of California, Los Angeles, Diss. |
| Physical Description: | VIII, 108 S. graph. Darst. |
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MARC
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| 245 | 1 | 0 | |a Analysis and synthesis of linear time-variable systems |c by Allen R. Stubberud |
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Record in the Search Index
| _version_ | 1804123400981970944 |
|---|---|
| adam_text | CONTENTS
1 INTRODUCTION I
Defining the system i
Previous work 4
Scope of the monograph 10
2 AN OPERATOR ALGEBRA FOR DIFFERENTIAL EQUATIONS 11
The necessary operations 11
Multiplication of two differential equations 13
The unity element 15
The multiplicative inverse 15
Addition of two differential equations 17
The zero element 17
The additive inverse 19
Multiplication of a differential equation by a scalar 19
Summary 19
3 THE ANALYSIS OF LINEAR TIME VARIABLE FEEDBACK SYSTEMS
VIA SIGNAL FLOW GRAPH THEORY 20
Signal flow graphs —time invariant versus time variable 21
The reduction of a time variable signal flow graph 22
Stability 24
Sensitivity 26
Example 27
Summary 29
4 SYNTHESIS TECHNIQUES FOR LINEAR TIME VARIABLE
FEEDBACK SYSTEMS 30
Synthesis by plant cancellation 31
Synthesis of a feedback system unconstrained by a fixed plant 33
Synthesis of a system constrained by a fixed plant 34
Example 34
Comment 35
Constraints on the choice of an overall differential equation 35
An algebraic synthesis technique 37
Example 40
Comment 41
vii
viii Contents
5 THE APPROXIMATION PROBLEM 42
The approximation method for polynomial inputs 42
Example 50
Approximation of separable functions 54
An approximation method for nonpolynomial inputs 58
6 REDUCIBILITY OF LINEAR SYSTEMS 60
Equivalent systems 60
Equivalent differential equations 60
Equivalent vector forms 62
Reducibility 64
Conditions and technique for reduction 65
Examples 70
Summary 74
7 APPROXIMATIONS OF DIFFERENTIAL EQUATIONS 75
Approximation by a lower order differential equation 75
Example 79
Increasing the orders of the integral and differential operators 82
appendixes 87
1. Determination of a Differential Equation from a Weighting
Function 89
11. A Vector Equivalent of wth order Differential Equation 93
in. Synthesis of Time Variable Differential Equations with
Analog Computer Elements 96
iv. A Useful Identity 98
v. Best Least Squares Approximate Solutions of Incompatible
Simultaneous Algebraic Equations 99
vi. A Bound on the Errors of Approximate Systems 101
REFERENCES 107
|
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| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:29:11Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005986326 |
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| physical | VIII, 108 S. graph. Darst. |
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| publishDate | 1964 |
| publishDateSearch | 1964 |
| publishDateSort | 1964 |
| publisher | Univ. of California Press |
| record_format | marc |
| series | Science surveys |
| series2 | Science surveys |
| spelling | Stubberud, Allen R. Verfasser aut Analysis and synthesis of linear time-variable systems by Allen R. Stubberud Berkeley [u.a.] Univ. of California Press 1964 VIII, 108 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Science surveys 1 Teilw. zugl.: Univ. of California, Los Angeles, Diss. Control de sistemas Systèmes, Analyse de System analysis Systemanalyse (DE-588)4116673-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Systemanalyse (DE-588)4116673-5 s DE-604 Science surveys 1 (DE-604)BV008909806 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005986326&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stubberud, Allen R. Analysis and synthesis of linear time-variable systems Science surveys Control de sistemas Systèmes, Analyse de System analysis Systemanalyse (DE-588)4116673-5 gnd |
| subject_GND | (DE-588)4116673-5 (DE-588)4113937-9 |
| title | Analysis and synthesis of linear time-variable systems |
| title_auth | Analysis and synthesis of linear time-variable systems |
| title_exact_search | Analysis and synthesis of linear time-variable systems |
| title_full | Analysis and synthesis of linear time-variable systems by Allen R. Stubberud |
| title_fullStr | Analysis and synthesis of linear time-variable systems by Allen R. Stubberud |
| title_full_unstemmed | Analysis and synthesis of linear time-variable systems by Allen R. Stubberud |
| title_short | Analysis and synthesis of linear time-variable systems |
| title_sort | analysis and synthesis of linear time variable systems |
| topic | Control de sistemas Systèmes, Analyse de System analysis Systemanalyse (DE-588)4116673-5 gnd |
| topic_facet | Control de sistemas Systèmes, Analyse de System analysis Systemanalyse Hochschulschrift |
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