Stability and robustness of fluid networks: a Lyapunov perspective
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| Format: | Thesis Book |
| Language: | English |
| Published: |
2012
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| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis |
| Physical Description: | 165 S. |
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| 245 | 1 | 0 | |a Stability and robustness of fluid networks |b a Lyapunov perspective |c von Michael Schönlein |
| 246 | 1 | 3 | |a Stabilität und Robustheit von Fluidnetzwerken: Eine Lyapunov Perspektive |
| 264 | 1 | |c 2012 | |
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| 502 | |a Würzburg, Univ., Diss., 2012 | ||
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Record in the Search Index
| _version_ | 1804149398604611584 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
INTRODUCTION 1
1 PRELIMINARIES 1 1
1.1 PROBABILITY THEORY 11
1.2 MARKOV PROCESSES 13
1.3 PIECEWISE DETERMINISTIC PROCESSES 20
1.4 HARRIS RECURRENCE 23
1.5 NOTES AND REFERENCES 25
2 M U L T I C L A S S Q U E U E I N G N E T W O R K S 2 7
2.1 MODEL DESCRIPTION 28
2.2 THE UNDERLYING MARKOV PROCESS 35
2.3 DYNAMIC EQUATIONS OF QUEUEING NETWORKS 36
2.4 FLUID APPROXIMATION AND STABILITY 41
2.5 NOTES AND REFERENCES 49
3 STABILITY O F FLUID N E T W O R K S 5 1
3.1 GENERALITIES ON STABILITY FOR FLUID NETWORKS 52
3.2 GENERAL WORK-CONSERVING FLUID NETWORKS 57
3.3 PRIORITY FLUID NETWORKS 60
3.4 HLPPS FLUID NETWORKS 64
3.5 FIFO FLUID NETWORKS 69
3.6 STABILITY THEORY OF DIFFERENTIAL EQUATIONS 71
3.7 NOTES AND REFERENCES 73
4 CONVERSE L Y A P U N O V T H E O R E M S FOR F L U I D N E T W O R K S
75
4.1 GENERIC FLUID MODELS 76
HTTP://D-NB.INFO/1025436695
IMAGE 2
4.2 STRICT GENERIC FLUID MODELS 83
4.3 CONSTRUCTION OF SMOOTH LYAPUNOV FUNCTIONS 89
4.4 NOTES AND REFERENCES 99
5 A P P L I C A T I O N S O F T H E CONVERSE T H E O R E M S 101
5.1 FLUID NETWORKS AS DIFFERENTIAL INCLUSIONS 102
5.2 APPLICATIONS T O SOME FLUID NETWORKS 104
5.3 STABILITY OF QUEUEING NETWORKS REVISITED 120
5.4 THE LINEAR SKOROKHOD PROBLEM 124
5.5 NOTES AND REFERENCES 126
6 R O B U S T STABILITY O F F L U I D N E T W O R K S 1 2 9
6.1 FIRST STEPS 130
6.2 PERTURBATIONS OF ARRIVAL RATES 134
6.3 PERTURBATIONS OF SERVICE CAPACITIES 137
6.4 PERTURBATIONS OF ARRIVAL RATES AND SERVICE CAPACITIES . . . 141 6.5
NOTES AND REFERENCES 145
A S O M E A N A L Y S I S 1 4 7
B DIFFERENTIAL INCLUSIONS 1 4 9
BIBLIOGRAPHY 1 5 3
LIST O F N O T A T I O N S 1 6 1
I N D E X 1 6 3
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| spelling | Schönlein, Michael Verfasser (DE-588)1024984621 aut Stability and robustness of fluid networks a Lyapunov perspective von Michael Schönlein Stabilität und Robustheit von Fluidnetzwerken: Eine Lyapunov Perspektive 2012 165 S. txt rdacontent n rdamedia nc rdacarrier Würzburg, Univ., Diss., 2012 Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd rswk-swf Warteschlangennetz (DE-588)4225823-6 gnd rswk-swf Ljapunov-Funktion (DE-588)4274502-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Warteschlangennetz (DE-588)4225823-6 s Ljapunov-Stabilitätstheorie (DE-588)4167992-1 s Ljapunov-Funktion (DE-588)4274502-0 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:20-opus-72235 https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-72235 Resolving-System kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025212356&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schönlein, Michael Stability and robustness of fluid networks a Lyapunov perspective Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Warteschlangennetz (DE-588)4225823-6 gnd Ljapunov-Funktion (DE-588)4274502-0 gnd |
| subject_GND | (DE-588)4167992-1 (DE-588)4225823-6 (DE-588)4274502-0 (DE-588)4113937-9 |
| title | Stability and robustness of fluid networks a Lyapunov perspective |
| title_alt | Stabilität und Robustheit von Fluidnetzwerken: Eine Lyapunov Perspektive |
| title_auth | Stability and robustness of fluid networks a Lyapunov perspective |
| title_exact_search | Stability and robustness of fluid networks a Lyapunov perspective |
| title_full | Stability and robustness of fluid networks a Lyapunov perspective von Michael Schönlein |
| title_fullStr | Stability and robustness of fluid networks a Lyapunov perspective von Michael Schönlein |
| title_full_unstemmed | Stability and robustness of fluid networks a Lyapunov perspective von Michael Schönlein |
| title_short | Stability and robustness of fluid networks |
| title_sort | stability and robustness of fluid networks a lyapunov perspective |
| title_sub | a Lyapunov perspective |
| topic | Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Warteschlangennetz (DE-588)4225823-6 gnd Ljapunov-Funktion (DE-588)4274502-0 gnd |
| topic_facet | Ljapunov-Stabilitätstheorie Warteschlangennetz Ljapunov-Funktion Hochschulschrift |
| url | https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-72235 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025212356&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT schonleinmichael stabilityandrobustnessoffluidnetworksalyapunovperspective AT schonleinmichael stabilitatundrobustheitvonfluidnetzwerkeneinelyapunovperspektive |