Vector Lyapunov functions and stability analysis of nonlinear systems:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1991
|
| Schriftenreihe: | Mathematics and its applications
63 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002904923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 172 S. |
| ISBN: | 0792311523 |
Internformat
MARC
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| 245 | 1 | 0 | |a Vector Lyapunov functions and stability analysis of nonlinear systems |c by V. Lakshmikantham, V. M. Matrosov and S. Sivasundaram |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1991 | |
| 300 | |a X, 172 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 63 | |
| 650 | 7 | |a Liapounov, fonctions de |2 ram | |
| 650 | 7 | |a Stabilité |2 ram | |
| 650 | 7 | |a Théories nonlinéaires |2 ram | |
| 650 | 4 | |a Lyapunov functions | |
| 650 | 4 | |a Nonlinear theories | |
| 650 | 4 | |a Stability | |
| 650 | 0 | 7 | |a Nichtlineares System |0 (DE-588)4042110-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ljapunov-Stabilitätstheorie |0 (DE-588)4167992-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Vektorwertige Funktion |0 (DE-588)4262911-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ljapunov-Funktion |0 (DE-588)4274502-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Ljapunov-Funktion |0 (DE-588)4274502-0 |D s |
| 689 | 0 | 1 | |a Nichtlineares System |0 (DE-588)4042110-7 |D s |
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| 689 | 2 | 0 | |a Ljapunov-Stabilitätstheorie |0 (DE-588)4167992-1 |D s |
| 689 | 2 | 1 | |a Nichtlineares System |0 (DE-588)4042110-7 |D s |
| 689 | 2 | 2 | |a Vektorwertige Funktion |0 (DE-588)4262911-1 |D s |
| 689 | 2 | |5 DE-604 | |
| 700 | 1 | |a Matrosov, Vladimir M. |e Verfasser |4 aut | |
| 700 | 1 | |a Sivasundaram, S. |e Verfasser |4 aut | |
| 830 | 0 | |a Mathematics and its applications |v 63 |w (DE-604)BV008163334 |9 63 | |
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| 940 | 1 | |n oe | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-002904923 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0202 MAT 345f 2002 A 1017 |
|---|---|
| DE-BY-TUM_katkey | 543022 |
| DE-BY-TUM_location | 02 |
| DE-BY-TUM_media_number | 040020659243 |
| _version_ | 1821939338888347650 |
| adam_text | Contents
Series Editor s Preface v
Preface ix
Chapter 1. Why several Lyapunov functions? 1
1.0. Introduction 1
1.1. Trends in basic Lyapunov theory 2
1.2. Definitions of stability and boundedness 6
1.3. Fundamental comparison of results 12
1.4. Refinements of basic Lyapunov theorems 16
1.5. Boundedness and practical stability 27
1.6. Method of vector Lyapunov functions 32
1.7. Stability concepts in terms of two measures 38
1.8. Practical stability and boundedness 44
1.9. Global results 48
1.10. Notes 52
Chapter 2. Refinements. 53
2.0. Introduction 53
2.1. Perturbed systems 54
2.2. Large scale dynamic systems 58
2.3. A technique in perturbation theory 61
2.4. Quasisolutions 66
2.5. Analysis of comparison systems 69
2.6. Matrix Lyapunov functions 73
2.7. Cone valued Lyapunov functions 75
2.8. Higher derivatives of Lyapunov functions 77
2.9. New directions 81
2.10. Existence and stability of stationary points 88
2.11. Notes 91
Chapter 3. Extensions 93
3.0. Introduction 93
3.1. Differential equations with infinite delay 93
3.2. Integro differential equations of Volterra type 101
viii Contents
3.3. Difference equations 105
3.4. Impulsive differential equations 111
3.5. Reaction diffusion systems 114
3.6. Control systems 119
3.7. Decentralized control systems 123
3.8. Optimal controllability 125
3.9. Set valued differential inequalities 128
3.10. Stability criteria 131
3.11. Notes 133
Chapter 4. Applications 135
4.0. Introduction 135
4.1. Models from economics 135
4.2. Motion of an aircraft 138
4.3. Models in immunology 140
4.4. Models from neural networks 147
4.5. Population models 152
4.6. Models from chemical kinetics 156
4.7. Notes 158
Appendix 159
References 163
Index 171
|
| any_adam_object | 1 |
| author | Lakshmikantham, Vangipuram 1926- Matrosov, Vladimir M. Sivasundaram, S. |
| author_GND | (DE-588)104268050 |
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| dewey-ones | 003 - Systems |
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| discipline | Informatik Mathematik |
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| id | DE-604.BV004725111 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:22:00Z |
| institution | BVB |
| isbn | 0792311523 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002904923 |
| oclc_num | 23144362 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-634 DE-11 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-634 DE-11 DE-188 |
| physical | X, 172 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spellingShingle | Lakshmikantham, Vangipuram 1926- Matrosov, Vladimir M. Sivasundaram, S. Vector Lyapunov functions and stability analysis of nonlinear systems Mathematics and its applications Liapounov, fonctions de ram Stabilité ram Théories nonlinéaires ram Lyapunov functions Nonlinear theories Stability Nichtlineares System (DE-588)4042110-7 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Vektorwertige Funktion (DE-588)4262911-1 gnd Ljapunov-Funktion (DE-588)4274502-0 gnd |
| subject_GND | (DE-588)4042110-7 (DE-588)4167992-1 (DE-588)4262911-1 (DE-588)4274502-0 |
| title | Vector Lyapunov functions and stability analysis of nonlinear systems |
| title_auth | Vector Lyapunov functions and stability analysis of nonlinear systems |
| title_exact_search | Vector Lyapunov functions and stability analysis of nonlinear systems |
| title_full | Vector Lyapunov functions and stability analysis of nonlinear systems by V. Lakshmikantham, V. M. Matrosov and S. Sivasundaram |
| title_fullStr | Vector Lyapunov functions and stability analysis of nonlinear systems by V. Lakshmikantham, V. M. Matrosov and S. Sivasundaram |
| title_full_unstemmed | Vector Lyapunov functions and stability analysis of nonlinear systems by V. Lakshmikantham, V. M. Matrosov and S. Sivasundaram |
| title_short | Vector Lyapunov functions and stability analysis of nonlinear systems |
| title_sort | vector lyapunov functions and stability analysis of nonlinear systems |
| topic | Liapounov, fonctions de ram Stabilité ram Théories nonlinéaires ram Lyapunov functions Nonlinear theories Stability Nichtlineares System (DE-588)4042110-7 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Vektorwertige Funktion (DE-588)4262911-1 gnd Ljapunov-Funktion (DE-588)4274502-0 gnd |
| topic_facet | Liapounov, fonctions de Stabilité Théories nonlinéaires Lyapunov functions Nonlinear theories Stability Nichtlineares System Ljapunov-Stabilitätstheorie Vektorwertige Funktion Ljapunov-Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002904923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT lakshmikanthamvangipuram vectorlyapunovfunctionsandstabilityanalysisofnonlinearsystems AT matrosovvladimirm vectorlyapunovfunctionsandstabilityanalysisofnonlinearsystems AT sivasundarams vectorlyapunovfunctionsandstabilityanalysisofnonlinearsystems |
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Teilbibliothek Physik
| Signatur: |
0202 MAT 345f 2002 A 1017
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |