Stability analysis in terms of two measures:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1993
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006315970&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 402 S. |
| ISBN: | 9810213891 |
Internformat
MARC
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| 245 | 1 | 0 | |a Stability analysis in terms of two measures |c V. Lakshmikantham ; X. Z. Liu |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1993 | |
| 300 | |a X, 402 S. | ||
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| 650 | 4 | |a Liapounov, Fonctions de | |
| 650 | 4 | |a Stabilité | |
| 650 | 4 | |a Lyapunov functions | |
| 650 | 4 | |a Stability | |
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| 689 | 0 | 0 | |a Ljapunov-Stabilitätstheorie |0 (DE-588)4167992-1 |D s |
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| 700 | 1 | |a Liu, Xinzhi |e Verfasser |4 aut | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006315970 | |
Datensatz im Suchindex
| _version_ | 1819343416535810048 |
|---|---|
| adam_text | Table of Contents
Preface v
1. Basic Theory 1
1.0 Introduction 1
1.1 Definitions of stability 2
1.2. Basic Lyapunov theory 11
1.3 Comparison method 25
1.4 Converse theorem 39
1.5 Boundedness and Lagrange stability 48
1.6 Practical stability 55
1.7 (h0, h, M0) stability 68
1.8 Invariance principle 79
1.9 Notes 86
2. Refinements 89
2.0 Introduction 89
2.1 Several Lyapunov functions 91
2.2 Perturbations of Lyapunov functions 107
2.3 Several Lyapunov functions (continued) 125
2.4 Method of vector Lyapunov functions 131
2.5 Perturbed systems 153
be
x Contents
2.6 Variation of Lyapunov s method 169
2.7 Integral stability 180
2.8 Perturbations of Lyapunov functions
(continued) 192
2.9 Method of higher derivatives 200
2.10 Comparison systems 207
2.11 Cone valued Lyapunov functions 214
2.12 Notes 221
3. Extensions 223
3.0 Introduction 223
3.1 Delay differential equations 225
3.2 Implusive differential systems 255
3.3 Stabilization of control systems 279
3.4 Impulsive integro differential systems 296
3.5 Discrete systems 310
3.6 Random diffferential systems 319
3.7 Dynamical systems on time scales 330
3.8 Notes 350
4. Applications 353
4.0 Introduction 353
4.1 Holomorphic mechanical systems 354
4.2 Motion of winged aircraft 361
4.3 Models from economics 364
4.4 Motion of a length varying pendulum 369
4.5 Population models 373
4.6 Angular motion of rigid bodies 380
4.7 Notes 386
Reference 387
Index 397
|
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| author | Lakshmikantham, Vangipuram 1926- Liu, Xinzhi |
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| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV009558706 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:38:20Z |
| institution | BVB |
| isbn | 9810213891 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006315970 |
| oclc_num | 28218285 |
| open_access_boolean | |
| owner | DE-12 DE-703 DE-11 DE-188 |
| owner_facet | DE-12 DE-703 DE-11 DE-188 |
| physical | X, 402 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | World Scientific |
| record_format | marc |
| spellingShingle | Lakshmikantham, Vangipuram 1926- Liu, Xinzhi Stability analysis in terms of two measures Liapounov, Fonctions de Stabilité Lyapunov functions Stability Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd |
| subject_GND | (DE-588)4167992-1 |
| title | Stability analysis in terms of two measures |
| title_auth | Stability analysis in terms of two measures |
| title_exact_search | Stability analysis in terms of two measures |
| title_full | Stability analysis in terms of two measures V. Lakshmikantham ; X. Z. Liu |
| title_fullStr | Stability analysis in terms of two measures V. Lakshmikantham ; X. Z. Liu |
| title_full_unstemmed | Stability analysis in terms of two measures V. Lakshmikantham ; X. Z. Liu |
| title_short | Stability analysis in terms of two measures |
| title_sort | stability analysis in terms of two measures |
| topic | Liapounov, Fonctions de Stabilité Lyapunov functions Stability Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd |
| topic_facet | Liapounov, Fonctions de Stabilité Lyapunov functions Stability Ljapunov-Stabilitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006315970&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lakshmikanthamvangipuram stabilityanalysisintermsoftwomeasures AT liuxinzhi stabilityanalysisintermsoftwomeasures |