Mathematical problems of control theory: an introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
2001
|
| Schriftenreihe: | Series on stability, vibration and control of systems
Series A ; 4 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references (p. 167-169) and index |
| Beschreibung: | VIII, 172 S. graph. Darst. |
| ISBN: | 9810246943 |
Internformat
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| 490 | 1 | |a Series on stability, vibration and control of systems : Series A |v 4 | |
| 500 | |a Includes bibliographical references (p. 167-169) and index | ||
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Datensatz im Suchindex
| _version_ | 1804129405435379712 |
|---|---|
| adam_text | IMAGE 1
SERIES ON STABILITY, VIBRATION AND CONTROL OF SYSTEMS
I||§LP» SERIES A VOLUME 4
SERIES EDITORS: ARDESHIR GURAN & D A N I EL J INMAN
MATHEMATICAL PROBLEMS
OF CONTROL THEORY
AN INTRODUCTION
GENNADY A. LEONOV DEPARTMENT OF MATHEMATICS AND MECHANICS ST. PETERSBURG
STATE UNIVERSITY
V |^ WORLD SCIENTIFIC W» SINGAPORE * NEW JERSEY * LONDON * SINGAPORE *
NEW JERSEY * LONDON * HONG KONG
IMAGE 2
CONTENTS
PREFACE V
C H A P T ER 1 T HE W A TT G O V E R N OR A ND T HE M A T H E M A T I C
AL T H E O RY
OF S T A B I L I TY OF M O T I ON 1
1.1 THE W A TT FLYBALL GOVERNOR AND ITS MODIFICATIONS 1
1.2 THE HERMITE-MIKHAILOV CRITERION 7
1.3 THEOREM ON STABILITY BY THE LINEAR APPROXIMATION 13
1.4 THE W A TT GOVERNOR TRANSIENT PROCESSES 25
C H A P T ER 2 LINEAR E L E C T R IC C I R C U I T S. TRANSFER F U N C T
I O NS A ND
F R E Q U E N CY R E S P O N S ES OF LINEAR B L O C KS 33
2.1 DESCRIPTION OF LINEAR BLOCKS 33
2.2 TRANSFER FUNCTIONS AND FREQUENCY RESPONSES OF LINEAR BLOCKS . . 40
C H A P T ER 3 C O N T R O L L A B I L I T Y, O B S E R V A B I L I T Y,
S T A B I L I Z A T I ON 53
3.1 CONTROLLABILITY 53
3.2 OBSERVABILITY 62
3.3 A SPECIAL FORM OF THE SYSTEMS WITH CONTROLLABLE PAIR ( A , B) 66
3.4 STABILIZATION. T HE NYQUIST CRITERION 67
3.5 T HE TIME-VARYING STABILIZATION. THE BROCKETT PROBLEM 72
C H A P T ER 4 T W O - D I M E N S I O N AL C O N T R OL S Y S T E M S.
P H A SE P O R T R A I TS 93
4.1 AN AUTOPILOT AND SPACECRAFT ORIENTATION SYSTEM 93
4.2 A SYNCHRONOUS ELECTRIC MACHINE CONTROL AND PHASE LOCKED LOOPS 106
4.3 THE MATHEMATICAL THEORY OF POPULATIONS 126
VII
IMAGE 3
I
VIII CONTENTS
CHAPTER 5 DISCRETE SYSTEMS 133
5.1 MOTIVATION 133
5.2 LINEAR DISCRETE SYSTEMS 140
5.3 THE DISCRETE PHASE LOCKED LOOPS FOR ARRAY PROCESSORS 148
CHAPTER 6 THE AIZERMAN CONJECTURE. THE POPOV METHOD 155
BIBLIOGRAPHY 167
INDEX 171
|
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| author | Leonov, Gennadij A. 1947- |
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| building | Verbundindex |
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| discipline | Mathematik |
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| id | DE-604.BV014640360 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:04:37Z |
| institution | BVB |
| isbn | 9810246943 |
| language | English |
| lccn | 2002278973 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009942730 |
| oclc_num | 248089381 |
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| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | VIII, 172 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on stability, vibration and control of systems |
| series2 | Series on stability, vibration and control of systems : Series A |
| spelling | Leonov, Gennadij A. 1947- Verfasser (DE-588)111346487 aut Mathematical problems of control theory an introduction Gennady A. Leonov Singapore [u.a.] World Scientific 2001 VIII, 172 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series on stability, vibration and control of systems : Series A 4 Includes bibliographical references (p. 167-169) and index Kontrolltheorie Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 s DE-604 Series on stability, vibration and control of systems Series A ; 4 (DE-604)BV013189168 4 http://www.loc.gov/catdir/toc/fy031/2002278973.html Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009942730&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Leonov, Gennadij A. 1947- Mathematical problems of control theory an introduction Series on stability, vibration and control of systems Kontrolltheorie Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4032317-1 |
| title | Mathematical problems of control theory an introduction |
| title_auth | Mathematical problems of control theory an introduction |
| title_exact_search | Mathematical problems of control theory an introduction |
| title_full | Mathematical problems of control theory an introduction Gennady A. Leonov |
| title_fullStr | Mathematical problems of control theory an introduction Gennady A. Leonov |
| title_full_unstemmed | Mathematical problems of control theory an introduction Gennady A. Leonov |
| title_short | Mathematical problems of control theory |
| title_sort | mathematical problems of control theory an introduction |
| title_sub | an introduction |
| topic | Kontrolltheorie Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Kontrolltheorie |
| url | http://www.loc.gov/catdir/toc/fy031/2002278973.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009942730&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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