Liapunov functions and stability in control theory:
The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. We focus in particular on the problem of the existence of Liapunov functions (converse Liapunov theorems) and th...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London
Springer London
2001
|
| Series: | Lecture Notes in Control and Information Sciences
267 |
| Subjects: | |
| Online Access: | FHI01 BTU01 Volltext |
| Summary: | The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. We focus in particular on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control (boundedness of state evolution with respect to bounded inputs, stabilization by feedback). Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs |
| Physical Description: | 1 Online-Ressource (XI, 210 p) |
| ISBN: | 9781846288173 |
| DOI: | 10.1007/BFb0110597 |
Staff View
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| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
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| id | DE-604.BV045149098 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:02Z |
| institution | BVB |
| isbn | 9781846288173 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030538797 |
| oclc_num | 849902385 |
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| owner_facet | DE-573 DE-634 |
| physical | 1 Online-Ressource (XI, 210 p) |
| psigel | ZDB-2-ENG ZDB-2-ENG_2000/2004 ZDB-2-ENG ZDB-2-ENG_2000/2004 ZDB-2-ENG ZDB-2-ENG_Archiv |
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| publisher | Springer London |
| record_format | marc |
| series2 | Lecture Notes in Control and Information Sciences |
| spelling | Bacciotti, Andrea Verfasser aut Liapunov functions and stability in control theory by Andrea Bacciotti, Lionel Rosier London Springer London 2001 1 Online-Ressource (XI, 210 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Control and Information Sciences 267 The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. We focus in particular on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control (boundedness of state evolution with respect to bounded inputs, stabilization by feedback). Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs Engineering Control Control engineering Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 s Ljapunov-Stabilitätstheorie (DE-588)4167992-1 s 1\p DE-604 Rosier, Lionel aut Erscheint auch als Druck-Ausgabe 9781852334192 https://doi.org/10.1007/BFb0110597 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bacciotti, Andrea Rosier, Lionel Liapunov functions and stability in control theory Engineering Control Control engineering Kontrolltheorie (DE-588)4032317-1 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4167992-1 |
| title | Liapunov functions and stability in control theory |
| title_auth | Liapunov functions and stability in control theory |
| title_exact_search | Liapunov functions and stability in control theory |
| title_full | Liapunov functions and stability in control theory by Andrea Bacciotti, Lionel Rosier |
| title_fullStr | Liapunov functions and stability in control theory by Andrea Bacciotti, Lionel Rosier |
| title_full_unstemmed | Liapunov functions and stability in control theory by Andrea Bacciotti, Lionel Rosier |
| title_short | Liapunov functions and stability in control theory |
| title_sort | liapunov functions and stability in control theory |
| topic | Engineering Control Control engineering Kontrolltheorie (DE-588)4032317-1 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd |
| topic_facet | Engineering Control Control engineering Kontrolltheorie Ljapunov-Stabilitätstheorie |
| url | https://doi.org/10.1007/BFb0110597 |
| work_keys_str_mv | AT bacciottiandrea liapunovfunctionsandstabilityincontroltheory AT rosierlionel liapunovfunctionsandstabilityincontroltheory |