Stability and control of time delay systems:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | German |
| Veröffentlicht: |
London ; Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ;
Springer
1997
|
| Schriftenreihe: | Lecture notes in control and information sciences
228 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XX, 317 S. graph. Darst. |
| ISBN: | 3540761934 |
Internformat
MARC
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| 245 | 1 | 0 | |a Stability and control of time delay systems |c L. Dugard ... (eds.) |
| 264 | 1 | |a London ; Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ; |b Springer |c 1997 | |
| 300 | |a XX, 317 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture notes in control and information sciences |v 228 | |
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Datensatz im Suchindex
| _version_ | 1805067890104205312 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
CHAPTER
1
STABILITY
AND
ROBUST
STABILITY
OF
TIME-DELAY
SYSTEMS:
A
GUIDED
TOUR
1
1
INTRODUCTION
.
1
1.1
BASIC
IDEAS
.
1
1.2
LINEAR
DELAY
SYSTEMS
CLASS
.
4
1.3
DELAY-INDEPENDENT
VERSUS
DELAY-DEPENDENT
STABILITY
.
6
1.4
PURPOSE
OF
THE
CHAPTER
.
9
1.5
OUTLINE
.
9
2
EXAMPLES
.
10
2.1
CHEMICAL
INDUSTRY
.
10
2.2
NEURAL
NETWORKS
.
10
2.3
OTHER
EXAMPLES
.
11
3
STABILITY
SETS
IN
PARAMETER
SPACE
.
12
3.1
ON
THE
CONTINUITY
PROPERTIES
.
13
3.2
DEFINITIONS
AND
RELATED
REMARKS
.
14
3.3
SCALAR
SINGLE
DELAY
CASE
.
16
4
FREQUENCY
DOMAIN
APPROACH
.
22
4.1
ANALYTICAL
AND
GRAPHICAL
TESTS
.
22
4.2
SPECIAL
CRITERIA
.
26
5
TIME-DOMAIN
APPROACH
.
35
5.1
LYAPUNOV
'
S
SECOND
METHOD
.
35
5.2
COMPARISON
PRINCIPLE
.
43
6
OTHER
STABILITY
RESULTS
AND
REMARKS
.
46
6.1
VARIOUS
INTERPRETATIONS
OF
DELAY
SYSTEMS
.
46
6.2
ON
THE
COMPLEXITY
OF
MULTIPLE
DELAYS
STABILITY
PROBLEMS
.
48
6.3
OTHER
STABILITY
PROBLEMS
.
.
48
7
ROBUST
STABILITY
.
49
7.1
FREQUENCY-DOMAIN
APPROACH
.
50
7.2
TIME-DOMAIN
APPROACH
.
51
7.3
OTHER
REMARKS
.
55
8
THE
EXAMPLES
REVISITED
.
56
8.1
CHEMICAL
EXAMPLE
.
56
8.2
NEURAL
NETWORK
EXAMPLE
.
57
9
CONCLUDING
REMARKS
.
58
A
STABILITY
THEORY
.
59
A.L
BASIC
DEFINITIONS
.
59
A.2
LYAPUNOV
'
S
SECOND
METHOD
.
60
XVI
CHAPTER
2
CONVEX
DIRECTIONS
FOR
STABLE
POLYNOMIALS
AND
QUASIPOLYNOMIALS:
A
SURVEY
OF
RECENT
RESULTS
72
1
INTRODUCTION
.
72
2
CONVEX
DIRECTIONS
FOR
STABLE
POLYNOMIALS
.
74
2.1
CONVEX
DIRECTIONS
FOR
HURWITZ
POLYNOMIALS:
C
9
=
C_
.
75
2.2
CONVEX
DIRECTIONS
FOR
SCHUR
POLYNOMIALS:
C
9
=
CI
.
76
3
CONVEX
DIRECTIONS
FOR
STABLE
QUASIPOLYNOMIALS
.
77
4
ROOT
LOCI
OF
STABLE
POLYNOMIALS
.
80
4.1
ROOT
LOCI
OF HURWITZ
STABLE
POLYNOMIALS
.
80
4.2
ROOT
LOCI
OF
SCHUR
STABLE
POLYNOMIALS
.
83
4.3
RELATIVE
CONVEX
DIRECTIONS
FOR
S
N
(IK,
C_)
AND
5
N
(IK,
CI)
.
85
5
ROOT
LOCI
OF
STABLE
QUASIPOLYNOMIALS
.
88
CHAPTER
3
DELAY-INDEPENDENT
STABILITY
OF
LINEAR
NEU
TRAL
SYSTEMS:
A
RICCATI
EQUATION
APPROACH
92
1
INTRODUCTION
.
92
2
MAIN
RESULTS
.
93
3
SINGULAR
VALUE
TEST
FOR
DELAY-INDEPENDENT
ASYMPTOTIC
STA
BILITY
.
96
4
LMI
FORMULATION
.
97
5
CONCLUDING
REMARKS
.
97
A
STABILITY
THEORY
.
97
B
PROOF
OF
THEOREM
1
.
98
CHAPTER
4
ROBUST
STABILITY
AND
STABILIZATION
OF
TIME
DELAY
SYSTEMS
VIA
INTEGRAL
QUADRATIC
CONSTRAINT
AP
PROACH
101
1
INTRODUCTION
.
101
2
PRELIMINARIES
.
102
3
STABILITY
ANALYSIS
.
106
4
STABILIZATION
.
109
5
EXAMPLES
.
113
6
CONCLUSION
.
114
XVII
CHAPTER
5
GRAPHICAL
TEST
FOR
ROBUST
STABILITY
WITH
DIS
TRIBUTED
DELAYED
FEEDBACK
117
1
RETARDED
FUNCTIONAL
DIFFERENTIAL
EQUATIONS
.
119
2
RICCATI-TYPE
EQUATIONS
AS
SUFFICIENT
CONDITIONS
.
121
3
ROBUST
STABILITY
AND
FREQUENCY
DOMAIN
CRITERIA
.
123
4
STABILIZATION
WITH
DELAYED
FEEDBACK
.
124
4.1
SUFFICIENT
CONDITION
.
125
4.2
ALTERNATIVE
CRITERION
AND
A
NECESSARY
CONDITION
.
126
5
SINGLE
INPUT
CASE:
FREQUENCY
RESPONSE
TESTS
.
127
5.1
FREQUENCY
SWEEP
.
127
5.2
CRITERIA
BASED
ON
ROUCHG
'
S
THEOREM
.
129
6
EXAMPLES
.
132
7
CONCLUSIONS
.
138
CHAPTER
6
NUMERICS
OF
THE
STABILITY
EXPONENT
AND
EIGENVALUE
ABSCISSAS
OF
A
MATRIX
DELAY
SYSTEM
140
1
INTRODUCTION
.
140
2
THE
MATRIX
FUNCTION
.
141
3
THE
FUNCTIONAL
EQUATION
.
144
4
THE
EIGENVALUE
ABSCISSAS
.
147
5
COMPUTATION
.
149
6
CONCLUSION
.
155
CHAPTER
7
MOVING
AVERAGES
FOR
PERIODIC
DELAY
DIFFER
ENTIAL
AND
DIFFERENCE
EQUATIONS
158
1
INTRODUCTION
.
158
1.1
A
BRIEF
HISTORY
OF
AVERAGING
.
158
1.2
APPLICATIONS
OF
AVERAGING
THEORY
IN
CONTROLS
ENGINEERING
.
.
.
160
1.3
MOTIVATION
FOR
THE
AVERAGING
OF
DELAY
SYSTEMS
.
160
2
AVERAGING
OF
CONTINUOUS-TIME
DELAY
SYSTEMS
.
161
3
MOVING
AVERAGES
OF
DISCRETE-TIME
SYSTEMS
WITH
DELAYS
.
.
.
167
4
APPLICATIONS
OF
AVERAGING
TO
DELAY
SYSTEMS
IN
CONTROLS
EN
GINEERING
.
173
4.1
CART
AND
PENDULUM
CONTROL
IN
THE
PRESENCE
OF
EXTERNAL
VIBRAR
TIONS
AND
FEEDBACK
DELAYS
.
173
4.2
ADAPTIVE
IDENTIFICATION
OF
PIPE
MIXING
.
174
XVIII
5
CONCLUSION
.
179
CHAPTER
8
ON
RATIONAL
STABILIZING
CONTROLLERS
FOR
IN
TERVAL
DELAY
SYSTEMS
184
1
INTRODUCTION
.
184
2
STATEMENT
OF
THE
PROBLEM
.
186
3
WHEN
DOES
A
RATIONAL
STABILIZING
CONTROLLER
EXIST
.
187
4
STABILIZING
CONTROLLERS
FOR
IOD
SYSTEMS
.
189
5
STABILIZING
CONTROLLERS
FOR
FINITE
INTERVAL
DELAY
SYSTEMS
.
193
6
SYSTEMS
WITH
INTERVAL
COEFFICIENTS
.
199
7
CONCLUSION
.
202
CHAPTER
9
STABILIZATION
OF
LINEAR
AND
NONLINEAR
SYS
TEMS
WITH
TIME
DELAY
205
1
INTRODUCTION
.
205
2
FIXED-ORDER
CONTROLLER
SYNTHESIS
FOR
SYSTEMS
WITH
TIME
DELAY207
3
SUFFICIENT
CONDITIONS
FOR
STABILIZATION
OF
SYSTEMS
WITH
TIME
DELAY
.
207
4
FIXED-ORDER
DYNAMIC
COMPENSATION
FOR
SYSTEMS
WITH
TIME
DELAY
.
209
5
FULL-STATE
FEEDBACK
CONTROL
FOR
NONLINEAR
SYSTEMS
WITH
TIME
DELAY
.
212
6
ILLUSTRATIVE
NUMERICAL
EXAMPLES
.
213
7
CONCLUSION
.
214
CHAPTER
10
NONLINEAR
DELAY
SYSTEMS:
TOOLS
FOR
A
QUAN
TITATIVE
APPROACH
OF
STABILIZATION
218
1
INTRODUCTION
.
218
2
NOTATIONS
.
220
3
RETARDED-TYPE
SYSTEMS:
STABILITY
CRITERIA
INDEPENDENT
OF
DELAY
.
221
3.1
THE
COMPARISON
APPROACH
.
222
3.2
COMPARISON
PRINCIPLES
.
223
3.3
A
SYSTEMATIC
CONSTRUCTION
OF
COMPARISON
SYSTEMS
.
224
3.4
QUALITATIVE
CRITERIA
OF
STABILITY
.
226
XIX
4
RETARDED-TYPE
SYSTEMS:
STABILITY
CRITERIA
DEPENDENT
ON
THE
DELAY
.
227
4.1
STABILITY
CRITERIA
.
228
4.2
STABILITY
DOMAINS
.
230
5
GENERALIZATION
TO
NEUTRAL
SYSTEMS
.
233
5.1
ADDITIONAL
NOTATIONS
AND
ASSUMPTIONS
.
233
5.2
MAIN
RESULTS
.
234
5.3
EXAMPLES
.
237
6
CONCLUSION
.
237
7
APPENDIX
.
238
CHAPTER
11
OUTPUT
FEEDBACK
STABILIZATION
OF
LINEAR
TIME-DELAY
SYSTEMS
241
1
INTRODUCTION
.
241
2
PROBLEM
FORMULATION
AND
PRELIMINARIES
.
242
3
OUTPUT
FEEDBACK
STABILIZATION
.
243
4
ROBUST
OUTPUT
FEEDBACK
STABILIZATION
.
250
4.1
POLYTOPIC
UNCERTAIN
CASE
.
251
4.2
NORM-BOUNDED
UNCERTAIN
CASE
.
253
5
AN
EXAMPLE
.
256
6
CONCLUSIONS
.
257
CHAPTER
12
ROBUST
CONTROL
OF
SYSTEMS
WITH
A
SINGLE
INPUT
LAG
259
1
INTRODUCTION
.
259
-
2
A
BASIC
ABSTRACT
MODEL
.
260
3
A
ONE
BLOCK
PROBLEM
.
268
4
GAP
OPTIMIZATION
.
270
5
THE
STANDARD
PROBLEM
.
272
6
PROOF
OF
THEOREM
5
.
274
CHAPTER
13
ROBUST
GUARANTEED
COST
CONTROL
FOR
UN
CERTAIN
LINEAR
TIME-DELAY
SYSTEMS
283
1
INTRODUCTION
.
283
2
PRELIMINARIES
AND
DEFINITIONS
.
284
XX
3
ROBUST
PERFORMANCE
ANALYSIS
.
285
4
ROBUST
GUARANTEED
COST
CONTROL
-
SINGLE
STATE-DELAY
CASE
.
290
5
ROBUST
GUARANTEED
COST
CONTROL
-
MIXED
STATE
AND
INPUT
DELAYS
.
293
6
ILLUSTRATIVE
EXAMPLES
.
298
7
CONCLUSION
.
300
CHAPTER
14
LOCAL
STABILIZATION
OF
CONTINUOUS-TIME
DE
LAY
SYSTEMS
WITH
BOUNDED
INPUT
302
1
INTRODUCTION
.
302
2
PROBLEM
STATEMENT
.
303
3
CLOSED-LOOP
STABILITY
WITHOUT
SATURATIONS
.
304
4
CLOSED-LOOP
STABILITY
WITH
SATURATIONS
.
308
5
NUMERICAL
EXAMPLE
.
313
5.1
CLOSED-LOOP
STABILITY
WITHOUT
SATURATIONS
.
313
5.2
CLOSED-LOOP
STABILITY
WITH
SATURATIONS
.
314
6
CONCLUDING
REMARKS
.
314 |
| any_adam_object | 1 |
| author_GND | (DE-588)115577343 |
| building | Verbundindex |
| bvnumber | BV011507963 |
| callnumber-first | Q - Science |
| callnumber-label | QA402 |
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| callnumber-search | QA402.3 |
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| classification_rvk | SI 845 |
| ctrlnum | (OCoLC)214951402 (DE-599)BVBBV011507963 |
| dewey-full | 629.8/312 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8/312 |
| dewey-search | 629.8/312 |
| dewey-sort | 3629.8 3312 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
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| id | DE-604.BV011507963 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:41:23Z |
| institution | BVB |
| isbn | 3540761934 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007744582 |
| oclc_num | 214951402 |
| open_access_boolean | |
| owner | DE-739 |
| owner_facet | DE-739 |
| physical | XX, 317 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Stability and control of time delay systems L. Dugard ... (eds.) London ; Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ; Springer 1997 XX, 317 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 228 Control theory Delay differential equations Stability Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Regelungstechnik (DE-588)4076594-5 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Verzögerung (DE-588)4447283-3 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s Stabilität (DE-588)4056693-6 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Verzögerung (DE-588)4447283-3 s 2\p DE-604 Regelungstechnik (DE-588)4076594-5 s 3\p DE-604 Optimale Kontrolle (DE-588)4121428-6 s 4\p DE-604 Dugard, Luc Sonstige (DE-588)115577343 oth Lecture notes in control and information sciences 228 (DE-604)BV005848579 228 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007744582&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stability and control of time delay systems Lecture notes in control and information sciences Control theory Delay differential equations Stability Differentialgleichung (DE-588)4012249-9 gnd Kontrolltheorie (DE-588)4032317-1 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd Regelungstechnik (DE-588)4076594-5 gnd Stabilität (DE-588)4056693-6 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Verzögerung (DE-588)4447283-3 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4032317-1 (DE-588)4199298-2 (DE-588)4076594-5 (DE-588)4056693-6 (DE-588)4121428-6 (DE-588)4447283-3 |
| title | Stability and control of time delay systems |
| title_auth | Stability and control of time delay systems |
| title_exact_search | Stability and control of time delay systems |
| title_full | Stability and control of time delay systems L. Dugard ... (eds.) |
| title_fullStr | Stability and control of time delay systems L. Dugard ... (eds.) |
| title_full_unstemmed | Stability and control of time delay systems L. Dugard ... (eds.) |
| title_short | Stability and control of time delay systems |
| title_sort | stability and control of time delay systems |
| topic | Control theory Delay differential equations Stability Differentialgleichung (DE-588)4012249-9 gnd Kontrolltheorie (DE-588)4032317-1 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd Regelungstechnik (DE-588)4076594-5 gnd Stabilität (DE-588)4056693-6 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Verzögerung (DE-588)4447283-3 gnd |
| topic_facet | Control theory Delay differential equations Stability Differentialgleichung Kontrolltheorie Differentialgleichung mit nacheilendem Argument Regelungstechnik Stabilität Optimale Kontrolle Verzögerung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007744582&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT dugardluc stabilityandcontroloftimedelaysystems |