Optimal control of ODEs and DAEs:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter Oldenbourg
[2024]
|
| Ausgabe: | 2nd edition |
| Schriftenreihe: | De Gruyter graduate
|
| Schlagworte: | |
| Online-Zugang: | https://www.degruyter.com/isbn/9783110797695 Inhaltsverzeichnis |
| Beschreibung: | X, 474 Seiten Illustrationen, Diagramme 24 cm x 17 cm |
| ISBN: | 3110797690 9783110797695 |
Internformat
MARC
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| 003 | DE-604 | ||
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| 015 | |a 23,N30 |2 dnb | ||
| 016 | 7 | |a 1296973980 |2 DE-101 | |
| 020 | |a 3110797690 |9 3-11-079769-0 | ||
| 020 | |a 9783110797695 |c pbk: EUR 84.95 (DE) (freier Preis), EUR 84.95 (AT) (freier Preis) |9 978-3-11-079769-5 | ||
| 024 | 3 | |a 9783110797695 | |
| 035 | |a (OCoLC)1410458231 | ||
| 035 | |a (DE-599)DNB1296973980 | ||
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| 049 | |a DE-29T |a DE-20 | ||
| 084 | |8 1\p |a 530 |2 23sdnb | ||
| 100 | 1 | |a Gerdts, Matthias |e Verfasser |0 (DE-588)1013286952 |4 aut | |
| 245 | 1 | 0 | |a Optimal control of ODEs and DAEs |c Matthias Gerdts |
| 250 | |a 2nd edition | ||
| 264 | 1 | |a Berlin ; Boston |b De Gruyter Oldenbourg |c [2024] | |
| 300 | |a X, 474 Seiten |b Illustrationen, Diagramme |c 24 cm x 17 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a De Gruyter graduate | |
| 650 | 0 | 7 | |a Differential-algebraisches Gleichungssystem |0 (DE-588)4229517-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a System von gewöhnlichen Differentialgleichungen |0 (DE-588)4116671-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Optimale Kontrolle |0 (DE-588)4121428-6 |2 gnd |9 rswk-swf |
| 653 | |a Bahnplanungsmethoden | ||
| 653 | |a Control Theory | ||
| 653 | |a Gewöhnliche Differentialgleichungen | ||
| 653 | |a Kontrolltheorie | ||
| 653 | |a Numerical Methods | ||
| 653 | |a Numerische Methoden | ||
| 653 | |a Optimality Conditions | ||
| 653 | |a Optimalitätsbedingungen | ||
| 653 | |a Optimierung dynamischer Systeme | ||
| 653 | |a Optimization of Dynamic Systems | ||
| 653 | |a Ordinary Differential Equations | ||
| 653 | |a Path Planning Techniques | ||
| 653 | |a TB: Textbook | ||
| 689 | 0 | 0 | |a Optimale Kontrolle |0 (DE-588)4121428-6 |D s |
| 689 | 0 | 1 | |a System von gewöhnlichen Differentialgleichungen |0 (DE-588)4116671-1 |D s |
| 689 | 0 | 2 | |a Differential-algebraisches Gleichungssystem |0 (DE-588)4229517-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 710 | 2 | |a De Gruyter Oldenbourg |0 (DE-588)1065492103 |4 pbl | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-079789-3 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-079793-0 |
| 856 | 4 | 2 | |m X:MVB |u https://www.degruyter.com/isbn/9783110797695 |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034805184&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-034805184 | ||
| 883 | 1 | |8 1\p |a vlb |d 20230722 |q DE-101 |u https://d-nb.info/provenance/plan#vlb | |
Datensatz im Suchindex
| _version_ | 1804186232627920899 |
|---|---|
| adam_text | CONTENTS
PREFACE
-
V
1
1.1
1.1.1
1.1.2
1.1.3
1.2
1.2.1
1.2.2
1.2.3
1.2.4
1.2.5
1.2.6
1.3
1.4
INTRODUCTION
-
1
DAE
OPTIMAL
CONTROL
PROBLEMS
-
8
PERTURBATION
INDEX
-
23
CONSISTENT
INITIAL
VALUES
-
28
INDEX
REDUCTION
AND
STABILIZATION
-
30
TRANSFORMATION
TECHNIQUES
-
37
TRANSFORMATION
OF
A
BOLZA
PROBLEM
TO
A
MAYER
PROBLEM
-
37
TRANSFORMATION
TO
FIXED
TIME
INTERVAL
-
38
TRANSFORMATION
TO
AUTONOMOUS
PROBLEM
-
39
TRANSFORMATION
OF
CHEBYSHEV
PROBLEMS
-
39
TRANSFORMATION
OF
L
-MINIMIZATION
PROBLEMS
-
40
TRANSFORMATION
OF
INTERIOR-POINT
CONSTRAINTS
-
41
OVERVIEW
-
44
EXERCISES
-
46
2
2.1
2.1.1
2.1.2
2.1.3
2.1.4
INFINITE
OPTIMIZATION
PROBLEMS
-
51
FUNCTION
SPACES
-
51
TOPOLOGICAL
SPACES,
BANACH
SPACES,
AND
HILBERT
SPACES
-
52
MAPPINGS
AND
DUAL
SPACES
-
55
DERIVATIVES,
MEAN-VALUE
THEOREM,
AND
IMPLICIT
FUNCTION
THEOREM
-
57
LP-SPACES,
JVGP-SPACES,
ABSOLUTELY
CONTINUOUS
FUNCTIONS,
FUNCTIONS
OF
BOUNDED
VARIATION
-
60
2.2
2.3
2.3.1
2.3.2
2.3.3
2.3.4
2.3.5
2.4
THE
DAE
OPTIMAL
CONTROL
PROBLEM
AS
AN
INFINITE
OPTIMIZATION
PROBLEM
-
68
NECESSARY
CONDITIONS
FOR
INFINITE
OPTIMIZATION
PROBLEMS
-
75
EXISTENCE
OF
A
SOLUTION
-
78
CONIC
APPROXIMATION
OF
SETS
-
79
SEPARATION
THEOREMS
-
85
FIRST
ORDER
NECESSARY
OPTIMALITY
CONDITIONS
OF
FRITZ
JOHN
TYPE
-
87
CONSTRAINT
QUALIFICATIONS
AND
KARUSH-KUHN-TUCKER
CONDITIONS
-
96
EXERCISES
-
101
3
3.1
3.1.1
3.1.2
3.1.3
3.2
3.2.1
LOCAL
MINIMUM
PRINCIPLES
-
105
PROBLEMS
WITHOUT
PURE
STATE
AND
MIXED
CONTROL-STATE
CONSTRAINTS
-
106
REPRESENTATION
OF
MULTIPLIERS
-
112
LOCAL
MINIMUM
PRINCIPLE
-
114
CONSTRAINT
QUALIFICATIONS
AND
REGULARITY
-
119
PROBLEMS
WITH
PURE
STATE
CONSTRAINTS
-
126
REPRESENTATION
OF
MULTIPLIERS
-
128
VIII
-
CONTENTS
3.2.2
3.2.3
3.2.4
3.3
3.3.1
3.3.2
3.4
3.5
LOCAL
MINIMUM
PRINCIPLE
-
130
FINDING
CONTROLS
ON
ACTIVE
STATE
CONSTRAINT
ARCS
-
135
JUMP
CONDITIONS
FOR
THE
ADJOINT
-
138
PROBLEMS
WITH
MIXED
CONTROL-STATE
CONSTRAINTS
-
141
REPRESENTATION
OF
MULTIPLIERS
-
143
LOCAL
MINIMUM
PRINCIPLE
-
145
SUMMARY
OF
LOCAL
MINIMUM
PRINCIPLES
FOR
INDEX-ONE
PROBLEMS
-
148
EXERCISES
-
152
4
4.1
4.1.1
4.1.2
4.1.3
4.1.4
4.2
4.3
4.4
4.5
4.5.1
4.5.2
4.6
4.6.1
4.6.2
4.6.3
4.7
DISCRETIZATION
METHODS
FOR
ODES
AND
DAES
-
157
DISCRETIZATION
BY
ONE-STEP
METHODS
-
158
THE
EULER
METHOD
-
159
RUNGE-KUTTA
METHODS
-
161
GENERAL
ONE-STEP
METHOD
-
167
CONSISTENCY,
STABILITY,
AND
CONVERGENCE
OF
ONE-STEP
METHODS
-
168
BACKWARD
DIFFERENTIATION
FORMULAS
(BDF)
-
175
LINEARIZED
IMPLICIT
RUNGE-KUTTA
METHODS
-
177
AUTOMATIC
STEP-SIZE
SELECTION
-
183
COMPUTATION
OF
CONSISTENT
INITIAL
VALUES
-
188
PROJECTION
METHOD
FOR
CONSISTENT
INITIAL
VALUES
-
190
CONSISTENT
INITIAL
VALUES
VIA
RELAXATION
-
191
SHOOTING
TECHNIQUES
FOR
BOUNDARY
VALUE
PROBLEMS
-
193
SINGLE
SHOOTING
METHOD
USING
PROJECTIONS
-
194
SINGLE
SHOOTING
METHOD
USING
RELAXATIONS
-
200
MULTIPLE
SHOOTING
METHOD
-
202
EXERCISES
-
206
5
5.1
5.1.1
5.1.2
5.1.3
5.2
5.2.1
5.2.2
5.2.3
5.3
5.3.1
5.3.2
5.4
5.4.1
5.4.2
DISCRETIZATION
OF
OPTIMAL
CONTROL
PROBLEMS
-
212
DIRECT
DISCRETIZATION
METHODS
-
213
FULL
DISCRETIZATION
APPROACH
-
215
REDUCED
DISCRETIZATION
APPROACH
-
220
CONTROL
DISCRETIZATION
-
222
A
BRIEF
INTRODUCTION
TO
SEQUENTIAL
QUADRATIC
PROGRAMMING
-
226
LAGRANGE-NEWTON
METHOD
-
228
SEQUENTIAL
QUADRATIC
PROGRAMMING
(SQP)
-
230
A
SEMI-SMOOTH
NEWTON
METHOD
FOR
QUADRATIC
PROGRAMS
-
238
EXPLOITATION
OF
SPARSITY
IN
THE
FULL
DISCRETIZATION
APPROACH
-
241
SPECIAL
CASES
-
245
SOLVING
STRUCTURED
LINEAR
EQUATION
SYSTEMS
-
246
CALCULATION
OF
DERIVATIVES
FOR
REDUCED
DISCRETIZATION
-
248
SENSITIVITY
EQUATION
APPROACH
-
250
ADJOINT
EQUATION
APPROACH:
THE
DISCRETE
CASE
-
252
CONTENTS
-
IX
5.4.3
5.5
5.5.1
5.6
5.6.1
ADJOINT
EQUATION
APPROACH:
THE
CONTINUOUS
CASE
-
257
DISCRETE
MINIMUM
PRINCIPLE
AND
APPROXIMATION
OF
ADJOINTS
-
264
EXAMPLE
-
271
AN
OVERVIEW
ON
CONVERGENCE
RESULTS
-
279
CONVERGENCE
OF
THE
EULER
DISCRETIZATION
FOR
ODE
OPTIMAL
CONTROL
PROBLEMS
-
279
5.6.2
HIGHER
ORDER
OF
CONVERGENCE
FOR
RUNGE-KUTTA
DISCRETIZATIONS
FOR
ODE
OPTIMAL
CONTROL
PROBLEMS
-
284
5.6.3
5.7
5.8
CONVERGENCE
RESULTS
FOR
DAE
OPTIMAL
CONTROL
PROBLEMS
-
286
NUMERICAL
EXAMPLES
-
288
EXERCISES
-
304
6
6.1
6.1.1
6.1.2
6.2
REAL-TIME
CONTROL
-
308
PARAMETRIC
SENSITIVITY
ANALYSIS
AND
OPEN-LOOP
REAL-TIME
CONTROL
-
309
PARAMETRIC
SENSITIVITY
ANALYSIS
OF
NONLINEAR
OPTIMIZATION
PROBLEMS
-
309
OPEN-LOOP
REAL-TIME
CONTROL
VIA
SENSITIVITY
ANALYSIS
-
318
FEEDBACK
CONTROLLER
DESIGN
BY
OPTIMAL
CONTROL
TECHNIQUES
-
THE
LINEAR-QUADRATIC
REGULATOR
-
329
6.2.1
6.3
6.3.1
6.3.2
6.4
SYSTEMS
IN
DISCRETE
TIME
-
337
MODEL-PREDICTIVE
CONTROL
-
342
NONLINEAR
MPC
(NMPC)
-
344
LINEAR-QUADRATIC
MPC
(LMPC)
-
354
EXERCISES
-
359
7
7.1
7.1.1
7.2
7.3
MIXED-INTEGER
OPTIMAL
CONTROL
-
366
GLOBAL
MINIMUM
PRINCIPLE
-
367
SINGULAR
CONTROLS
-
378
VARIABLE
TIME
TRANSFORMATION
METHOD
-
387
SWITCHING
COSTS,
DYNAMIC
PROGRAMMING,
BELLMAN
S
OPTIMALITY
PRINCIPLE
-
400
7.3.1
7.3.2
7.3.3
7.4
DYNAMIC
OPTIMIZATION
MODEL
WITH
SWITCHING
COSTS
-
401
A
DYNAMIC
PROGRAMMING
APPROACH
-
403
EXAMPLES
-
409
EXERCISES
-
416
8
8.1
8.2
8.2.1
8.3
FUNCTION
SPACE
METHODS
-
419
GRADIENT
METHOD
-
420
LAGRANGE-NEWTON
METHOD
-
434
COMPUTATION
OF
THE
SEARCH
DIRECTION
-
440
EXERCISES
-
451
X
-
CONTENTS
BIBLIOGRAPHY
-
455
INDEX
-
471
|
| adam_txt |
CONTENTS
PREFACE
-
V
1
1.1
1.1.1
1.1.2
1.1.3
1.2
1.2.1
1.2.2
1.2.3
1.2.4
1.2.5
1.2.6
1.3
1.4
INTRODUCTION
-
1
DAE
OPTIMAL
CONTROL
PROBLEMS
-
8
PERTURBATION
INDEX
-
23
CONSISTENT
INITIAL
VALUES
-
28
INDEX
REDUCTION
AND
STABILIZATION
-
30
TRANSFORMATION
TECHNIQUES
-
37
TRANSFORMATION
OF
A
BOLZA
PROBLEM
TO
A
MAYER
PROBLEM
-
37
TRANSFORMATION
TO
FIXED
TIME
INTERVAL
-
38
TRANSFORMATION
TO
AUTONOMOUS
PROBLEM
-
39
TRANSFORMATION
OF
CHEBYSHEV
PROBLEMS
-
39
TRANSFORMATION
OF
L
-MINIMIZATION
PROBLEMS
-
40
TRANSFORMATION
OF
INTERIOR-POINT
CONSTRAINTS
-
41
OVERVIEW
-
44
EXERCISES
-
46
2
2.1
2.1.1
2.1.2
2.1.3
2.1.4
INFINITE
OPTIMIZATION
PROBLEMS
-
51
FUNCTION
SPACES
-
51
TOPOLOGICAL
SPACES,
BANACH
SPACES,
AND
HILBERT
SPACES
-
52
MAPPINGS
AND
DUAL
SPACES
-
55
DERIVATIVES,
MEAN-VALUE
THEOREM,
AND
IMPLICIT
FUNCTION
THEOREM
-
57
LP-SPACES,
JVGP-SPACES,
ABSOLUTELY
CONTINUOUS
FUNCTIONS,
FUNCTIONS
OF
BOUNDED
VARIATION
-
60
2.2
2.3
2.3.1
2.3.2
2.3.3
2.3.4
2.3.5
2.4
THE
DAE
OPTIMAL
CONTROL
PROBLEM
AS
AN
INFINITE
OPTIMIZATION
PROBLEM
-
68
NECESSARY
CONDITIONS
FOR
INFINITE
OPTIMIZATION
PROBLEMS
-
75
EXISTENCE
OF
A
SOLUTION
-
78
CONIC
APPROXIMATION
OF
SETS
-
79
SEPARATION
THEOREMS
-
85
FIRST
ORDER
NECESSARY
OPTIMALITY
CONDITIONS
OF
FRITZ
JOHN
TYPE
-
87
CONSTRAINT
QUALIFICATIONS
AND
KARUSH-KUHN-TUCKER
CONDITIONS
-
96
EXERCISES
-
101
3
3.1
3.1.1
3.1.2
3.1.3
3.2
3.2.1
LOCAL
MINIMUM
PRINCIPLES
-
105
PROBLEMS
WITHOUT
PURE
STATE
AND
MIXED
CONTROL-STATE
CONSTRAINTS
-
106
REPRESENTATION
OF
MULTIPLIERS
-
112
LOCAL
MINIMUM
PRINCIPLE
-
114
CONSTRAINT
QUALIFICATIONS
AND
REGULARITY
-
119
PROBLEMS
WITH
PURE
STATE
CONSTRAINTS
-
126
REPRESENTATION
OF
MULTIPLIERS
-
128
VIII
-
CONTENTS
3.2.2
3.2.3
3.2.4
3.3
3.3.1
3.3.2
3.4
3.5
LOCAL
MINIMUM
PRINCIPLE
-
130
FINDING
CONTROLS
ON
ACTIVE
STATE
CONSTRAINT
ARCS
-
135
JUMP
CONDITIONS
FOR
THE
ADJOINT
-
138
PROBLEMS
WITH
MIXED
CONTROL-STATE
CONSTRAINTS
-
141
REPRESENTATION
OF
MULTIPLIERS
-
143
LOCAL
MINIMUM
PRINCIPLE
-
145
SUMMARY
OF
LOCAL
MINIMUM
PRINCIPLES
FOR
INDEX-ONE
PROBLEMS
-
148
EXERCISES
-
152
4
4.1
4.1.1
4.1.2
4.1.3
4.1.4
4.2
4.3
4.4
4.5
4.5.1
4.5.2
4.6
4.6.1
4.6.2
4.6.3
4.7
DISCRETIZATION
METHODS
FOR
ODES
AND
DAES
-
157
DISCRETIZATION
BY
ONE-STEP
METHODS
-
158
THE
EULER
METHOD
-
159
RUNGE-KUTTA
METHODS
-
161
GENERAL
ONE-STEP
METHOD
-
167
CONSISTENCY,
STABILITY,
AND
CONVERGENCE
OF
ONE-STEP
METHODS
-
168
BACKWARD
DIFFERENTIATION
FORMULAS
(BDF)
-
175
LINEARIZED
IMPLICIT
RUNGE-KUTTA
METHODS
-
177
AUTOMATIC
STEP-SIZE
SELECTION
-
183
COMPUTATION
OF
CONSISTENT
INITIAL
VALUES
-
188
PROJECTION
METHOD
FOR
CONSISTENT
INITIAL
VALUES
-
190
CONSISTENT
INITIAL
VALUES
VIA
RELAXATION
-
191
SHOOTING
TECHNIQUES
FOR
BOUNDARY
VALUE
PROBLEMS
-
193
SINGLE
SHOOTING
METHOD
USING
PROJECTIONS
-
194
SINGLE
SHOOTING
METHOD
USING
RELAXATIONS
-
200
MULTIPLE
SHOOTING
METHOD
-
202
EXERCISES
-
206
5
5.1
5.1.1
5.1.2
5.1.3
5.2
5.2.1
5.2.2
5.2.3
5.3
5.3.1
5.3.2
5.4
5.4.1
5.4.2
DISCRETIZATION
OF
OPTIMAL
CONTROL
PROBLEMS
-
212
DIRECT
DISCRETIZATION
METHODS
-
213
FULL
DISCRETIZATION
APPROACH
-
215
REDUCED
DISCRETIZATION
APPROACH
-
220
CONTROL
DISCRETIZATION
-
222
A
BRIEF
INTRODUCTION
TO
SEQUENTIAL
QUADRATIC
PROGRAMMING
-
226
LAGRANGE-NEWTON
METHOD
-
228
SEQUENTIAL
QUADRATIC
PROGRAMMING
(SQP)
-
230
A
SEMI-SMOOTH
NEWTON
METHOD
FOR
QUADRATIC
PROGRAMS
-
238
EXPLOITATION
OF
SPARSITY
IN
THE
FULL
DISCRETIZATION
APPROACH
-
241
SPECIAL
CASES
-
245
SOLVING
STRUCTURED
LINEAR
EQUATION
SYSTEMS
-
246
CALCULATION
OF
DERIVATIVES
FOR
REDUCED
DISCRETIZATION
-
248
SENSITIVITY
EQUATION
APPROACH
-
250
ADJOINT
EQUATION
APPROACH:
THE
DISCRETE
CASE
-
252
CONTENTS
-
IX
5.4.3
5.5
5.5.1
5.6
5.6.1
ADJOINT
EQUATION
APPROACH:
THE
CONTINUOUS
CASE
-
257
DISCRETE
MINIMUM
PRINCIPLE
AND
APPROXIMATION
OF
ADJOINTS
-
264
EXAMPLE
-
271
AN
OVERVIEW
ON
CONVERGENCE
RESULTS
-
279
CONVERGENCE
OF
THE
EULER
DISCRETIZATION
FOR
ODE
OPTIMAL
CONTROL
PROBLEMS
-
279
5.6.2
HIGHER
ORDER
OF
CONVERGENCE
FOR
RUNGE-KUTTA
DISCRETIZATIONS
FOR
ODE
OPTIMAL
CONTROL
PROBLEMS
-
284
5.6.3
5.7
5.8
CONVERGENCE
RESULTS
FOR
DAE
OPTIMAL
CONTROL
PROBLEMS
-
286
NUMERICAL
EXAMPLES
-
288
EXERCISES
-
304
6
6.1
6.1.1
6.1.2
6.2
REAL-TIME
CONTROL
-
308
PARAMETRIC
SENSITIVITY
ANALYSIS
AND
OPEN-LOOP
REAL-TIME
CONTROL
-
309
PARAMETRIC
SENSITIVITY
ANALYSIS
OF
NONLINEAR
OPTIMIZATION
PROBLEMS
-
309
OPEN-LOOP
REAL-TIME
CONTROL
VIA
SENSITIVITY
ANALYSIS
-
318
FEEDBACK
CONTROLLER
DESIGN
BY
OPTIMAL
CONTROL
TECHNIQUES
-
THE
LINEAR-QUADRATIC
REGULATOR
-
329
6.2.1
6.3
6.3.1
6.3.2
6.4
SYSTEMS
IN
DISCRETE
TIME
-
337
MODEL-PREDICTIVE
CONTROL
-
342
NONLINEAR
MPC
(NMPC)
-
344
LINEAR-QUADRATIC
MPC
(LMPC)
-
354
EXERCISES
-
359
7
7.1
7.1.1
7.2
7.3
MIXED-INTEGER
OPTIMAL
CONTROL
-
366
GLOBAL
MINIMUM
PRINCIPLE
-
367
SINGULAR
CONTROLS
-
378
VARIABLE
TIME
TRANSFORMATION
METHOD
-
387
SWITCHING
COSTS,
DYNAMIC
PROGRAMMING,
BELLMAN
'
S
OPTIMALITY
PRINCIPLE
-
400
7.3.1
7.3.2
7.3.3
7.4
DYNAMIC
OPTIMIZATION
MODEL
WITH
SWITCHING
COSTS
-
401
A
DYNAMIC
PROGRAMMING
APPROACH
-
403
EXAMPLES
-
409
EXERCISES
-
416
8
8.1
8.2
8.2.1
8.3
FUNCTION
SPACE
METHODS
-
419
GRADIENT
METHOD
-
420
LAGRANGE-NEWTON
METHOD
-
434
COMPUTATION
OF
THE
SEARCH
DIRECTION
-
440
EXERCISES
-
451
X
-
CONTENTS
BIBLIOGRAPHY
-
455
INDEX
-
471 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Gerdts, Matthias |
| author_GND | (DE-588)1013286952 |
| author_facet | Gerdts, Matthias |
| author_role | aut |
| author_sort | Gerdts, Matthias |
| author_variant | m g mg |
| building | Verbundindex |
| bvnumber | BV049459432 |
| ctrlnum | (OCoLC)1410458231 (DE-599)DNB1296973980 |
| edition | 2nd edition |
| format | Book |
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| id | DE-604.BV049459432 |
| illustrated | Illustrated |
| index_date | 2024-07-03T23:14:30Z |
| indexdate | 2024-07-10T10:07:50Z |
| institution | BVB |
| institution_GND | (DE-588)1065492103 |
| isbn | 3110797690 9783110797695 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034805184 |
| oclc_num | 1410458231 |
| open_access_boolean | |
| owner | DE-29T DE-20 |
| owner_facet | DE-29T DE-20 |
| physical | X, 474 Seiten Illustrationen, Diagramme 24 cm x 17 cm |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | De Gruyter Oldenbourg |
| record_format | marc |
| series2 | De Gruyter graduate |
| spelling | Gerdts, Matthias Verfasser (DE-588)1013286952 aut Optimal control of ODEs and DAEs Matthias Gerdts 2nd edition Berlin ; Boston De Gruyter Oldenbourg [2024] X, 474 Seiten Illustrationen, Diagramme 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter graduate Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Bahnplanungsmethoden Control Theory Gewöhnliche Differentialgleichungen Kontrolltheorie Numerical Methods Numerische Methoden Optimality Conditions Optimalitätsbedingungen Optimierung dynamischer Systeme Optimization of Dynamic Systems Ordinary Differential Equations Path Planning Techniques TB: Textbook Optimale Kontrolle (DE-588)4121428-6 s System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 s Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s DE-604 De Gruyter Oldenbourg (DE-588)1065492103 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-079789-3 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-079793-0 X:MVB https://www.degruyter.com/isbn/9783110797695 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034805184&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20230722 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Gerdts, Matthias Optimal control of ODEs and DAEs Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| subject_GND | (DE-588)4229517-8 (DE-588)4116671-1 (DE-588)4121428-6 |
| title | Optimal control of ODEs and DAEs |
| title_auth | Optimal control of ODEs and DAEs |
| title_exact_search | Optimal control of ODEs and DAEs |
| title_exact_search_txtP | Optimal control of ODEs and DAEs |
| title_full | Optimal control of ODEs and DAEs Matthias Gerdts |
| title_fullStr | Optimal control of ODEs and DAEs Matthias Gerdts |
| title_full_unstemmed | Optimal control of ODEs and DAEs Matthias Gerdts |
| title_short | Optimal control of ODEs and DAEs |
| title_sort | optimal control of odes and daes |
| topic | Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| topic_facet | Differential-algebraisches Gleichungssystem System von gewöhnlichen Differentialgleichungen Optimale Kontrolle |
| url | https://www.degruyter.com/isbn/9783110797695 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034805184&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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