An introduction to infinite dimensional linear systems theory:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York ;Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest
Springer-Verlag
1995
|
| Series: | Texts in applied mathematics
21 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xviii, 698 Seiten Diagramme |
| ISBN: | 0387944753 |
Staff View
MARC
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| 245 | 1 | 0 | |a An introduction to infinite dimensional linear systems theory |c Ruth F. Curtain ; Hans Zwart |
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| 650 | 7 | |a Teoria de controle |2 larpcal | |
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Record in the Search Index
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| adam_text | Contents
Series Preface vi
Preface vii
List of Figures xvii
1 Introduction 1
1.1 Motivation 1
1.2 Systems theory concepts in finite dimensions 4
1.3 Aims of this book 10
2 Semigroup Theory 13
2.1 Strongly continuous semigroups 13
2.2 Contraction and dual semigroups 32
2.3 Riesz spectral operators 37
2.4 Delay equations 53
2.5 Invariant subspaces 68
2.6 Exercises 80
2.7 Notes and references 99
3 The Cauchy Problem 101
3.1 The abstract Cauchy problem 101
3.2 Perturbations and composite systems 109
3.3 Boundary control systems 121
3.4 Exercises 129
xiv Contents
3.5 Notes and references 139
4 Inputs and Outputs 141
4.1 Controllability and observability 141
4.2 Tests for approximate controllability and observability 162
4.3 Input output maps 175
4.4 Exercises 191
4.5 Notes and references 213
5 Stability, Stabilizability, and Detectability 215
5.1 Exponential stability 215
5.2 Exponential stabilizability and detectability 227
5.3 Compensator design 246
5.4 Exercises 251
5.5 Notes and references 267
6 Linear Quadratic Optimal Control 269
6.1 The problem on a finite time interval 269
6.2 The problem on the infinite time interval 292
6.3 Exercises 303
6.4 Notes and references 333
7 Frequency Domain Descriptions 335
7.1 The Callier Desoer class of scalar transfer functions 335
7.2 The multivariable extension 349
7.3 State space interpretations 363
7.4 Exercises 373
7.5 Notes and references 385
8 Hankel Operators and the Nehari Problem 387
8.1 Frequency domain formulation 387
8.2 Hankel operators in the time domain 396
8.3 The Nehari extension problem for state linear systems 412
8.4 Exercises 437
8.5 Notes and references 455
9 Robust Finite Dimensional Controller Synthesis 457
9.1 Closed loop stability and coprime factorizations 457
9.2 Robust stabilization of uncertain systems 470
9.3 Robust stabilization under additive uncertainty 479
9.4 Robust stabilization under normalized left coprime factor
uncertainty 501
9.5 Robustness in the presence of small delays 532
9.6 Exercises 538
9.7 Notes and references 561
Contents xv
A. Mathematical Background 565
A. 1 Complex analysis 565
A.2 Normed linear spaces 571
A.2.1 General theory 571
A.2.2 Hilbert spaces 576
A.3 Operators on normed linear spaces • ¦ 581
A.3.1 General theory 581
A.3.2 Operators on Hilbert spaces 598
A.4 Spectral theory 608
A.4.1 General spectral theory . 608
A.4.2 Spectral theory for compact normal operators 615
A.5 Integration and differentiation theory 621
A.5.1 Integration theory 621
A.5.2 Differentiation theory 629
A.6 Frequency domain spaces 635
A.6.1 Laplace and Fourier transforms 635
A.6.2 Frequency domain spaces • 639
A.6.3 The Hardy spaces 643
A.7 Algebraic concepts 649
A.7.1 General definitions 649
A.7.2 Coprime factorizations over principal ideal domains . . . 654
A.7.3 Coprime factorizations over commutative integral
domains 660
A.7.4 The convolution algebras A( ) 661
References 669
Notation 685
Index 689
|
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| author | Curtain, Ruth F. 1941- Zwart, Hans J. 1959- |
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| discipline | Informatik Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Wirtschaftswissenschaften |
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| id | DE-604.BV010386149 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:51:36Z |
| institution | BVB |
| isbn | 0387944753 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006915466 |
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| physical | xviii, 698 Seiten Diagramme |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer-Verlag |
| record_format | marc |
| series | Texts in applied mathematics |
| series2 | Texts in applied mathematics |
| spelling | Curtain, Ruth F. 1941- (DE-588)141409916 aut An introduction to infinite dimensional linear systems theory Ruth F. Curtain ; Hans Zwart New York ;Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest Springer-Verlag 1995 xviii, 698 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Texts in applied mathematics 21 Equacoes diferenciais parciais larpcal Lineaire systemen gtt Teoria de controle larpcal Control theory Linear systems System analysis Lineares System (DE-588)4125617-7 gnd rswk-swf Systemtheorie (DE-588)4058812-9 gnd rswk-swf Unendlichdimensionales System (DE-588)4207956-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Unendlichdimensionales System (DE-588)4207956-1 s Lineares System (DE-588)4125617-7 s Systemtheorie (DE-588)4058812-9 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Zwart, Hans J. 1959- (DE-588)141521465 aut Erscheint auch als Online-Ausgabe 978-1-4612-4224-6 Texts in applied mathematics 21 (DE-604)BV002476038 21 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006915466&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Curtain, Ruth F. 1941- Zwart, Hans J. 1959- An introduction to infinite dimensional linear systems theory Texts in applied mathematics Equacoes diferenciais parciais larpcal Lineaire systemen gtt Teoria de controle larpcal Control theory Linear systems System analysis Lineares System (DE-588)4125617-7 gnd Systemtheorie (DE-588)4058812-9 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4125617-7 (DE-588)4058812-9 (DE-588)4207956-1 (DE-588)4032317-1 |
| title | An introduction to infinite dimensional linear systems theory |
| title_auth | An introduction to infinite dimensional linear systems theory |
| title_exact_search | An introduction to infinite dimensional linear systems theory |
| title_full | An introduction to infinite dimensional linear systems theory Ruth F. Curtain ; Hans Zwart |
| title_fullStr | An introduction to infinite dimensional linear systems theory Ruth F. Curtain ; Hans Zwart |
| title_full_unstemmed | An introduction to infinite dimensional linear systems theory Ruth F. Curtain ; Hans Zwart |
| title_short | An introduction to infinite dimensional linear systems theory |
| title_sort | an introduction to infinite dimensional linear systems theory |
| topic | Equacoes diferenciais parciais larpcal Lineaire systemen gtt Teoria de controle larpcal Control theory Linear systems System analysis Lineares System (DE-588)4125617-7 gnd Systemtheorie (DE-588)4058812-9 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Equacoes diferenciais parciais Lineaire systemen Teoria de controle Control theory Linear systems System analysis Lineares System Systemtheorie Unendlichdimensionales System Kontrolltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006915466&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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