Energy methods in time - varying system stability and instability analyses:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
1977
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| Online-Zugang: | Inhaltsverzeichnis |
Internformat
MARC
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| 245 | 1 | 0 | |a Energy methods in time - varying system stability and instability analyses |
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| 505 | 0 | |a Berlin [u.a.]: Springer 1977. IX,256 S.m.Abb. u.Taf. 8 (4)<br>(Lecture Notes in physics. 68.) | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
Preface (i) (iv)
Chapter 1. Systems and equations with time varying coefficients 1 19
1.1. Introduction 1
1.2. Special features of systems and equations with varying
coefficients 1
1.3. Examples of time varying systems 8
1.4. Conclusions 16
Exercises 18
Chapter 2. Formulation of stability and instability problems. 20 57
2.1. Introduction 20
2.2. Representation of the feedback system 23
2.3. Preliminaries 27
2.4. Formulation of stability and instability problems 34
2.5. Methods used in stability and instability analyses 40
2.6. Conclusions 52
Exercises 53
Chapter 3 Exponential stability of feedback systems in differ¬
ential form 58 100
3.1. • Introduction 58
3.2. Preliminaries 59
3.3 Generation of quadratic forms 65
3.4. Linear system exponential stability 72
3.5. Nonlinear system exponential stability 79
3.6. Comparison with other results 87
3.7. Conclusions 89
Appendix 50 91
Exercises 91 100
VIM
Chapter 4. Exponential stability of feedback systems in integral
form 101 143
4.1. Introduction 101
4.2. Preliminaries 102
4.3. Basic lemmas on nonnegative quadratic functionals 104
4.4. Exponential stability criteria 117
4«5» Geometric interpretation 124
4.6. Conclusions 129
Appendices 4.1 4 5 136 141
Exercises 141 144
Chapter 5 L stability of feedback systems in general integral
form 145 168
5.1. Introduction 145
5.2. Preliminaries 149
5.3. Main result and its proof 152
5 4 Generalization to feedback systems in operator form 157
5.5 Conclusions 163
Exercises 165 168
Chapter 6. Instability of feedback systems in differential form 169—204
6.1. Introduction 1b9
6.2. Possible approaches to instability analysis 170
6.3. A general approach to instability analysis. 174
6.4 Derivation of instability criteria, Part I 178
6.5. Derivation of instability criteria, Part II 183
6.6. Comparison with other results in literature 194
6.7. Conclusions 195
Appendices 6,1 6.6 196 200
Exercises 200 204
IX
Chapter 7. ^ instability of feedback systems in integral form 205 232
7.1. Introduction 205
7.2. Derivation of instability conditions. 206
7.3. Instability criteria of literature 222
7.4. Conclusions 227
Appendices 7.1 7.4 228 230
Exercises 231 232
Epilogue 233 234
Errata 235 237
References 238 256
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| author | Venkatesh, Y. V. |
| author_facet | Venkatesh, Y. V. |
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| classification_rvk | SK 660 UD 8220 |
| contents | Berlin [u.a.]: Springer 1977. IX,256 S.m.Abb. u.Taf. 8 (4)<br>(Lecture Notes in physics. 68.) |
| ctrlnum | (OCoLC)260117921 (DE-599)BVBBV018149829 |
| discipline | Physik Mathematik |
| format | Book |
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| indexdate | 2024-07-09T19:25:52Z |
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| spelling | Venkatesh, Y. V. Verfasser aut Energy methods in time - varying system stability and instability analyses 1977 txt rdacontent n rdamedia nc rdacarrier Berlin [u.a.]: Springer 1977. IX,256 S.m.Abb. u.Taf. 8 (4)<br>(Lecture Notes in physics. 68.) Stabilitätstheorie Logik (DE-588)4433824-7 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Stabilität (DE-588)4056693-6 s Physik (DE-588)4045956-1 s DE-604 Stabilitätstheorie Logik (DE-588)4433824-7 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010920643&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Venkatesh, Y. V. Energy methods in time - varying system stability and instability analyses Berlin [u.a.]: Springer 1977. IX,256 S.m.Abb. u.Taf. 8 (4)<br>(Lecture Notes in physics. 68.) Stabilitätstheorie Logik (DE-588)4433824-7 gnd Stabilität (DE-588)4056693-6 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4433824-7 (DE-588)4056693-6 (DE-588)4045956-1 |
| title | Energy methods in time - varying system stability and instability analyses |
| title_auth | Energy methods in time - varying system stability and instability analyses |
| title_exact_search | Energy methods in time - varying system stability and instability analyses |
| title_full | Energy methods in time - varying system stability and instability analyses |
| title_fullStr | Energy methods in time - varying system stability and instability analyses |
| title_full_unstemmed | Energy methods in time - varying system stability and instability analyses |
| title_short | Energy methods in time - varying system stability and instability analyses |
| title_sort | energy methods in time varying system stability and instability analyses |
| topic | Stabilitätstheorie Logik (DE-588)4433824-7 gnd Stabilität (DE-588)4056693-6 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Stabilitätstheorie Logik Stabilität Physik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010920643&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT venkateshyv energymethodsintimevaryingsystemstabilityandinstabilityanalyses |