Nonlinear dynamical systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY u.a.
Prentice Hall
1994
|
| Edition: | 2. ed. |
| Series: | Prentice Hall International series in systems and control engineering
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 245 S. graph. Darst. |
| ISBN: | 0136251617 |
Staff View
MARC
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| 245 | 1 | 0 | |a Nonlinear dynamical systems |c P. A. Cook |
| 250 | |a 2. ed. | ||
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Record in the Search Index
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| adam_text | Contents
Preface to the First Edition ix
Preface to the Second Edition x
1 Introduction I
1.1 Types of Nonlinearity 4
1.2 Linear Systems 9
1.3 Aspects of Nonlinear Behaviour 11
1.4 Notes and References 13
2 State Space Models 14
2.1 Existence and Uniqueness 16
2.2 Linearization 17
2.3 Autonomous Systems 19
2.4 Equilibrium Points 21
2.5 Limit Cycles 27
2.6 Strange Attractors and Chaos 35
2.7 Notes and References 45
2.8 Exercises 47
3 Describing Function Analysis 49
3.1 Describing Functions 51
3.2 Oscillations in Feedback Systems 63
3.3 Validity of the Describing Function Approximation 69
3.4 Forced Systems 75
3.5 Notes and References 82
3.6 Exercises 83
4 Piecewise Linear Models 86
4.1 The Point Transformation Method 87
4.2 Variable Structure Systems 98
vii
viii Contents
4.3 Tsypkin s Method for Relay Systems 102
4.4 Notes and References 112
4.5 Exercises 112
5 Stability 114
5.1 Lyapunov s Methods 116
5.2 Unstable Equilibrium Points 124
5.3 Stability of Motion 127
5.4 Time Varying Systems 130
5.5 Feedback System Stability 132
5.6 Absolute Stability 135
5.7 Input Output Methods 141
5.8 Notes and References 144
5.9 Exercises 144
6 Nonlinear Control Systems 146
6.1 Bounds on System Variables 147
6.2 The Exponential Input Describing Function 155
6.3 Dither 158
6.4 Effect of Dither on Feedback Systems 163
6.5 Adaptive Control 167
6.6 Feedback Linearization 171
6.7 Notes and References 176
6.8 Exercises 177
7 Discrete Time Systems 179
7.1 Nonlinear Recurrence Relations 180
7.2 Stability in Discrete Time 183
7.3 Sampled Data Systems 186
7.4 Limit Cycles in Sampled Systems 190
7.5 Chaotic Behaviour 196
7.6 Adaptation and Self Tuning 199
7.7 Nonlinear System Identification 206
7.8 Notes and References 208
7.9 Exercises 209
Appendix 1 Bibliography 210
Appendix 2 Solutions to Exercises 214
Subject Index 243
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:41:09Z |
| institution | BVB |
| isbn | 0136251617 |
| language | English |
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| physical | X, 245 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Prentice Hall |
| record_format | marc |
| series2 | Prentice Hall International series in systems and control engineering |
| spelling | Cook, Peter A. Verfasser aut Nonlinear dynamical systems P. A. Cook 2. ed. New York, NY u.a. Prentice Hall 1994 X, 245 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Prentice Hall International series in systems and control engineering Nonlinear control theory System analysis Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006487657&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cook, Peter A. Nonlinear dynamical systems Nonlinear control theory System analysis Nichtlineares dynamisches System (DE-588)4126142-2 gnd |
| subject_GND | (DE-588)4126142-2 |
| title | Nonlinear dynamical systems |
| title_auth | Nonlinear dynamical systems |
| title_exact_search | Nonlinear dynamical systems |
| title_full | Nonlinear dynamical systems P. A. Cook |
| title_fullStr | Nonlinear dynamical systems P. A. Cook |
| title_full_unstemmed | Nonlinear dynamical systems P. A. Cook |
| title_short | Nonlinear dynamical systems |
| title_sort | nonlinear dynamical systems |
| topic | Nonlinear control theory System analysis Nichtlineares dynamisches System (DE-588)4126142-2 gnd |
| topic_facet | Nonlinear control theory System analysis Nichtlineares dynamisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006487657&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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