Stability by Liapunovś matrix function method with applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
1998
|
| Series: | Monographs and textbooks in pure and applied mathematics
214 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 276 S. |
| ISBN: | 0824701917 |
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MARC
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Record in the Search Index
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| adam_text | STABILITY BY LIAPUNOV S MATRIX FUNCTION METHOD WITH APPLICATIONS A. A.
MARTYNYUK INSTITUTE OF MECHANICS NATIONAL ACADEMY OF SCIENCES OF UKRAINE
KY I V, UKRAINE MARCEL DEKKER, INC. NEW YORK * BASEL * HONG KONG
CONTENTS PREFACE V NOTATION IX 1. PRELIMINARIES 1 1.1 INTRODUCTION 1 1.2
ON DEFINITION OF STABILITY 2 1.3 BRIEF OUTLINE OF TRENDS IN LIAPUNOV S
STABILITY THEORY 16 1.4 NOTES 38 2. MATRIX LIAPUNOV FUNCTION METHOD IN
GENERAL 41 2.1 INTRODUCTION 41 2.2 DEFINITION OF MATRIX-VALUED LIAPUNOV
FUNCTIONS 42 2.3 DIRECT LIAPUNOV S METHOD IN TERMS OF MATRIX- FUNCTION
48 2.4 ON COMPARISON METHOD 58 2.5 METHOD OF MATRIX LIAPUNOV FUNCTIONS
67 2.6 ON MULTISTABILITYW MOTION 87 2.7 APPLICATIONS 110 2.8 NOTES 124
3. STABILITY OF SINGULARLY-PERTURBED SYSTEMS 127 3.1 INTRODUCTION 127
3.2 DESCRIPTION OF SYSTEMS 128 3.3 ASYMPTOTIC STABILITY CONDITIONS 129
3.4 SINGULARLY PERTURBED LUR E-POSTNIKOV SYSTEMS 134 3.5 THE PROPERTY OF
HAVING A FIXED SIGN OF MATRIX- VALUED FUNCTION 138 3.6 MATRIX-VALUED
LIAPUNOV FUNCTION 143 3.7 GENERAL THEOREMS ON STABILITY AND INSTABILITY
IN CASE A 147 3.8 GENERAL THEOREMS ON STABILITY AND INSTABILITY IN CASE
B 149 CONTENTS 3.9 ASYMPTOTIC STABILITY OF LINEAR AUTONOMOUS SYSTEMS 152
- 3.10 APPLICATIONS 160 3.11 NOTES 174 4. STABILITY ANALYSIS OF
STOCHASTIC SYSTEMS 177 4.1 INTRODUCTION 177 4.2 STOCHASTIC SYSTEMS OF
DIFFERENTIAL EQUATIONS IN GENERAL 177 4.3 STABILITY TO SYSTEMS IN
KATS-KRASOVSKII FORM 195 4.4 STABILITY TO SYSTEMS IN ITO S FORM 200 4.5
APPLICATIONS 211 4.6 NOTES 221 5. SOME MODELS OF REAL WORLD PHENOMENA
223 5.1 INTRODUCTION 223 5.2 POPULATION MODELS 223 5.3 MODEL OF ORBITAL
ASTRONOMIC OBSERVATORY 230 5.4 POWER SYSTEM MODEL 239 5.5 THE MOTION IN
SPACE OF WINGED AIRCRAFT 249 5.6 NOTES 252 REFERENCES 255 AUTHOR INDEX
265 SUBJECT INDEX 271
|
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| discipline | Informatik Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:28:52Z |
| institution | BVB |
| isbn | 0824701917 |
| language | English |
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| physical | X, 276 S. |
| publishDate | 1998 |
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| publisher | Dekker |
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| series | Monographs and textbooks in pure and applied mathematics |
| series2 | Monographs and textbooks in pure and applied mathematics |
| spelling | Martynjuk, Anatolij A. 1941- Verfasser (DE-588)1020347279 aut Stability by Liapunovś matrix function method with applications A. A. Martynyuk New York [u.a.] Dekker 1998 X, 276 S. txt rdacontent n rdamedia nc rdacarrier Monographs and textbooks in pure and applied mathematics 214 Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd rswk-swf Ljapunov-Stabilitätstheorie (DE-588)4167992-1 s DE-604 Monographs and textbooks in pure and applied mathematics 214 (DE-604)BV000001885 214 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008493265&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Martynjuk, Anatolij A. 1941- Stability by Liapunovś matrix function method with applications Monographs and textbooks in pure and applied mathematics Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd |
| subject_GND | (DE-588)4167992-1 |
| title | Stability by Liapunovś matrix function method with applications |
| title_auth | Stability by Liapunovś matrix function method with applications |
| title_exact_search | Stability by Liapunovś matrix function method with applications |
| title_full | Stability by Liapunovś matrix function method with applications A. A. Martynyuk |
| title_fullStr | Stability by Liapunovś matrix function method with applications A. A. Martynyuk |
| title_full_unstemmed | Stability by Liapunovś matrix function method with applications A. A. Martynyuk |
| title_short | Stability by Liapunovś matrix function method with applications |
| title_sort | stability by liapunovs matrix function method with applications |
| topic | Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd |
| topic_facet | Ljapunov-Stabilitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008493265&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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