Practical stability of nonlinear systems:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1990
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 207 S. |
| ISBN: | 9810203519 |
Internformat
MARC
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| 100 | 1 | |a Lakshmikantham, Vangipuram |d 1926- |e Verfasser |0 (DE-588)104268050 |4 aut | |
| 245 | 1 | 0 | |a Practical stability of nonlinear systems |c V. Lashmikantham ; S. Leela ; A. A. Martynyuk |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1990 | |
| 300 | |a VIII, 207 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Lyapunov functions | |
| 650 | 4 | |a Stability | |
| 650 | 0 | 7 | |a Stabilität |0 (DE-588)4056693-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare gewöhnliche Differentialgleichung |0 (DE-588)4478411-9 |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 Nichtlineares System |0 (DE-588)4042110-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineares System |0 (DE-588)4042110-7 |D s |
| 689 | 0 | 1 | |a Ljapunov-Stabilitätstheorie |0 (DE-588)4167992-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Stabilität |0 (DE-588)4056693-6 |D s |
| 689 | 1 | 1 | |a Nichtlineare gewöhnliche Differentialgleichung |0 (DE-588)4478411-9 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Leela, Srinivasa |d 1936- |e Verfasser |0 (DE-588)123072417 |4 aut | |
| 700 | 1 | |a Martynjuk, Anatolij A. |d 1941- |e Verfasser |0 (DE-588)1020347279 |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-002798103 | ||
Datensatz im Suchindex
| _version_ | 1804118679378460672 |
|---|---|
| adam_text | Contents
Preface v
Chapter 1. What is Practical Stability? 1
1.0. Introduction 1
1.1. Definitions of Lyapunov stability 2
1.2. Definitions of practical stability g
1.3. Stability criteria 12
1.4. Delay differential equations 22
1.5. Integro differential equations 26
1.6. Difference equations 30
1.7. Impulsive differential equations 40
1.8. Notes 51
Chapter 2. Method of Lyapunov Functions. 53
2.0. Introduction 53
2.1. Basic comparison theorems 54
2.2. Stability criteria 59
2.3. Perturbing Lyapunov functions 70
2.4. Several Lyapunov functions 74
vii
viii Contents
2.5. Large scale dynamic systems 77
2.6. General definitions of practical stability 80
2.7. Stability criteria in terms of two measures 84
2.8. Global results in terms of sets 91
2.9. Stability criteria in terms of sets 97
2.10. Notes 101
Chapter 3. Perturbed Systems. 103
3.0. Introduction 103
3.1. Stability of perturbed systems 104
3.2. Stability of perturbed systems (continued) 108
3.3. A technique in perturbation theory 111
3.4. Difference equations 119
3.5. Delay differential equations 122
3.6. Integro differential equations of Volterra type 127
3.7. Impulsive differential systems 131
3.8. Impulsive integro differential equations 138
3.9. Reaction diffusion equations 145
3.10. Notes 155
Chapter 4. Control Systems. 157
4.0. Introduction 157
4.1. Control systems 158
4.2. Controllable systems 164
4.3. Decentralized control systems 169
4.4. Optimal controllability * 173
4.5. Set valued differential inequalities 177
4.6. Practical stability criteria 182
4.7. Notes 186
Appendix 189
A.I. Differential inequalities 189
A.2. Integro differential equations 195
A.3. Impulsive differential inequalities 196
References 199
|
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| author | Lakshmikantham, Vangipuram 1926- Leela, Srinivasa 1936- Martynjuk, Anatolij A. 1941- |
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| author_facet | Lakshmikantham, Vangipuram 1926- Leela, Srinivasa 1936- Martynjuk, Anatolij A. 1941- |
| author_role | aut aut aut |
| author_sort | Lakshmikantham, Vangipuram 1926- |
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| dewey-sort | 13 274 6151535 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
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| id | DE-604.BV004547381 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:14:08Z |
| institution | BVB |
| isbn | 9810203519 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002798103 |
| oclc_num | 22346544 |
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| owner_facet | DE-91G DE-BY-TUM DE-12 DE-739 DE-11 DE-188 |
| physical | VIII, 207 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Lakshmikantham, Vangipuram 1926- Verfasser (DE-588)104268050 aut Practical stability of nonlinear systems V. Lashmikantham ; S. Leela ; A. A. Martynyuk Singapore u.a. World Scientific 1990 VIII, 207 S. txt rdacontent n rdamedia nc rdacarrier Control theory Differential equations Lyapunov functions Stability Stabilität (DE-588)4056693-6 gnd rswk-swf Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd rswk-swf Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 s Ljapunov-Stabilitätstheorie (DE-588)4167992-1 s DE-604 Stabilität (DE-588)4056693-6 s Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 s Leela, Srinivasa 1936- Verfasser (DE-588)123072417 aut Martynjuk, Anatolij A. 1941- Verfasser (DE-588)1020347279 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002798103&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lakshmikantham, Vangipuram 1926- Leela, Srinivasa 1936- Martynjuk, Anatolij A. 1941- Practical stability of nonlinear systems Control theory Differential equations Lyapunov functions Stability Stabilität (DE-588)4056693-6 gnd Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4478411-9 (DE-588)4167992-1 (DE-588)4042110-7 |
| title | Practical stability of nonlinear systems |
| title_auth | Practical stability of nonlinear systems |
| title_exact_search | Practical stability of nonlinear systems |
| title_full | Practical stability of nonlinear systems V. Lashmikantham ; S. Leela ; A. A. Martynyuk |
| title_fullStr | Practical stability of nonlinear systems V. Lashmikantham ; S. Leela ; A. A. Martynyuk |
| title_full_unstemmed | Practical stability of nonlinear systems V. Lashmikantham ; S. Leela ; A. A. Martynyuk |
| title_short | Practical stability of nonlinear systems |
| title_sort | practical stability of nonlinear systems |
| topic | Control theory Differential equations Lyapunov functions Stability Stabilität (DE-588)4056693-6 gnd Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| topic_facet | Control theory Differential equations Lyapunov functions Stability Stabilität Nichtlineare gewöhnliche Differentialgleichung Ljapunov-Stabilitätstheorie Nichtlineares System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002798103&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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