Large-scale dynamic systems: Stability and structure
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
North-Holland
1978
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| Series: | North-Holland series in system science and engineering.
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI,416 S. graph.Darst. |
| ISBN: | 0444002464 |
Staff View
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| 245 | 1 | 0 | |a Large-scale dynamic systems |b Stability and structure |
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Record in the Search Index
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| adam_text | CONTENTS
Preface xi
Chapter One
Introduction: Stability, Complexity, Reliability 1
1.1 Competition 2
1.2 Structure 5
1.3 Stability 9
1.4 Comparison Principle 15
1.5 Connective Stability 17
1.6 Cooperation 20
1.7 Decomposition 24
1.8 Aggregation 32
1.9 Decentralization 42
1.10 Synthesis 49
References 58
Chapter Two
Analysis: Connective Stability 63
2.1 Structural Perturbations 65
2.2 Connective Stability 68
2.3 Differential Inequalities 74
2.4 Vector Liapunov Functions 81
2.5 Large-Scale Dynamic Systems 88
2.6 Partial Connective Stability 113
2.7 Connective Instability 126
2.8 Regions of Connective Stability 132
References 138
vii
Contents
Chapter Three
Synthesis: Decentralized Control 145
3.1 Reachability, Vulnerability, and Condensations 147
3.2 Decentralization 165
3.3 Stabilization 171
3.4 Estimation 192
3.5 Optimization 199
References 214
Chapter Four
Economics: Competitive Equilibrium 219
4.1 Commodities and Prices: Demand Functions 222
4.2 A Dynamic Model 225
4.3 Connective Stability: Linear Case 228
4.4 Connective Stability: Nonlinear Case 234
4.5 Nonstationary Models: Moving Equilibrium 241
4.6 A Stochastic Model 250
4.7 Discrete Models 254
4.8 Composite Commodities: A Hierarchic Model 260
References 263
Chapter Five
Ecology: Multispecies Communities 269
5.1 Linear Constant Models 271
5.2 Nonlinear Models: Linearization 276
5.3 Nonlinear Matrix Models 279
5.4 Stability Regions 285
5.5 Lotka-Volterra Model 287
5.6 Instability 294
5.7 Environmental Fluctuations 297
5.8 Stochastic Models: Stability 302
5.9 Stochastic Models: Instability 312
5.10 Hierarchic Models 315
References 322
Chapter Six
Engineering: Spacecraft Control Systems 327
6.1 Large Space Telescope: A Model 328
6.2 Bilinear Systems: Local Stabilization 335
via
Contents
6.3 Stabilization of LST 338
6.4 Optimal Control of LST 340
6.5 Maximization of Structural Parameters 343
6.6 Stabilization of the Skylab 352
References 361
Chapter Seven
Engineering: Power Systems 363
7.1 Transient Stability 364
7.2 A Model and Decomposition 366
7.3 Subsystem Analysis 369
7.4 Stability Region 374
7.5 Three-Machine System 378
7.6 Automatic Generation Control 379
7.7 A Decentralized Model 381
7.8 Regulator Design 384
References 390
Appendix: Matrices 394
References 406
Index 409
ix
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| indexdate | 2024-07-09T15:38:30Z |
| institution | BVB |
| isbn | 0444002464 |
| language | English |
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| physical | XVI,416 S. graph.Darst. |
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| publishDate | 1978 |
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| series2 | North-Holland series in system science and engineering. |
| spelling | Šiljak, Dragoslav D. Verfasser aut Large-scale dynamic systems Stability and structure New York North-Holland 1978 XVI,416 S. graph.Darst. txt rdacontent n rdamedia nc rdacarrier North-Holland series in system science and engineering. Stabilité Systèmes, Analyse de Large scale systems Stability System analysis Stabilität (DE-588)4056693-6 gnd rswk-swf Systemanalyse (DE-588)4116673-5 gnd rswk-swf Systemanalyse (DE-588)4116673-5 s Stabilität (DE-588)4056693-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001298980&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Šiljak, Dragoslav D. Large-scale dynamic systems Stability and structure Stabilité Systèmes, Analyse de Large scale systems Stability System analysis Stabilität (DE-588)4056693-6 gnd Systemanalyse (DE-588)4116673-5 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4116673-5 |
| title | Large-scale dynamic systems Stability and structure |
| title_auth | Large-scale dynamic systems Stability and structure |
| title_exact_search | Large-scale dynamic systems Stability and structure |
| title_full | Large-scale dynamic systems Stability and structure |
| title_fullStr | Large-scale dynamic systems Stability and structure |
| title_full_unstemmed | Large-scale dynamic systems Stability and structure |
| title_short | Large-scale dynamic systems |
| title_sort | large scale dynamic systems stability and structure |
| title_sub | Stability and structure |
| topic | Stabilité Systèmes, Analyse de Large scale systems Stability System analysis Stabilität (DE-588)4056693-6 gnd Systemanalyse (DE-588)4116673-5 gnd |
| topic_facet | Stabilité Systèmes, Analyse de Large scale systems Stability System analysis Stabilität Systemanalyse |
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