Partial Stability and Control:
Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the prob...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1998
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| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be indicated: • "Lotka-Volterra ecological principle of extinction;" • focusing and acceleration of particles in electromagnetic fields; • "drift" of the gyroscope axis; • stabilization of a spacecraft by specially arranged relative motion of rotors connected to it. Also very effective is the approach to the problem of stability (stabilization) with respect to all the variables based on preliminary analysis of partial sta bility (stabilization). A. M. Lyapunov, the founder of the modern theory of stability, was the first to formulate the problem of partial stability. Later, works by V. V. Rumyan tsev drew the attention of many mathematicians and mechanicians around the world to this problem, which resulted in its being intensively worked out. The method of Lyapunov functions became the key investigative method which turned out to be very effective in analyzing both theoretic and applied problems |
| Beschreibung: | 1 Online-Ressource (XII, 430 p) |
| ISBN: | 9781461241508 |
| DOI: | 10.1007/978-1-4612-4150-8 |
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| 520 | |a Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be indicated: • "Lotka-Volterra ecological principle of extinction;" • focusing and acceleration of particles in electromagnetic fields; • "drift" of the gyroscope axis; • stabilization of a spacecraft by specially arranged relative motion of rotors connected to it. Also very effective is the approach to the problem of stability (stabilization) with respect to all the variables based on preliminary analysis of partial sta bility (stabilization). A. M. Lyapunov, the founder of the modern theory of stability, was the first to formulate the problem of partial stability. Later, works by V. V. Rumyan tsev drew the attention of many mathematicians and mechanicians around the world to this problem, which resulted in its being intensively worked out. The method of Lyapunov functions became the key investigative method which turned out to be very effective in analyzing both theoretic and applied problems | ||
| 650 | 4 | |a Engineering | |
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Datensatz im Suchindex
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| author | Vorotnikov, V. I. |
| author_facet | Vorotnikov, V. I. |
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| bvnumber | BV045186288 |
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| ctrlnum | (ZDB-2-ENG)978-1-4612-4150-8 (OCoLC)1053825313 (DE-599)BVBBV045186288 |
| dewey-full | 620 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620 |
| dewey-search | 620 |
| dewey-sort | 3620 |
| dewey-tens | 620 - Engineering and allied operations |
| doi_str_mv | 10.1007/978-1-4612-4150-8 |
| format | Electronic eBook |
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| id | DE-604.BV045186288 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:57Z |
| institution | BVB |
| isbn | 9781461241508 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030575465 |
| oclc_num | 1053825313 |
| open_access_boolean | |
| owner | DE-634 |
| owner_facet | DE-634 |
| physical | 1 Online-Ressource (XII, 430 p) |
| psigel | ZDB-2-ENG ZDB-2-ENG_Archiv ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| spelling | Vorotnikov, V. I. Verfasser aut Partial Stability and Control by V. I. Vorotnikov Boston, MA Birkhäuser Boston 1998 1 Online-Ressource (XII, 430 p) txt rdacontent c rdamedia cr rdacarrier Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be indicated: • "Lotka-Volterra ecological principle of extinction;" • focusing and acceleration of particles in electromagnetic fields; • "drift" of the gyroscope axis; • stabilization of a spacecraft by specially arranged relative motion of rotors connected to it. Also very effective is the approach to the problem of stability (stabilization) with respect to all the variables based on preliminary analysis of partial sta bility (stabilization). A. M. Lyapunov, the founder of the modern theory of stability, was the first to formulate the problem of partial stability. Later, works by V. V. Rumyan tsev drew the attention of many mathematicians and mechanicians around the world to this problem, which resulted in its being intensively worked out. The method of Lyapunov functions became the key investigative method which turned out to be very effective in analyzing both theoretic and applied problems Engineering Vibration, Dynamical Systems, Control Systems Theory, Control Dynamical Systems and Ergodic Theory Dynamics Ergodic theory System theory Vibration Dynamical systems Erscheint auch als Druck-Ausgabe 9781461286752 https://doi.org/10.1007/978-1-4612-4150-8 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Vorotnikov, V. I. Partial Stability and Control Engineering Vibration, Dynamical Systems, Control Systems Theory, Control Dynamical Systems and Ergodic Theory Dynamics Ergodic theory System theory Vibration Dynamical systems |
| title | Partial Stability and Control |
| title_auth | Partial Stability and Control |
| title_exact_search | Partial Stability and Control |
| title_full | Partial Stability and Control by V. I. Vorotnikov |
| title_fullStr | Partial Stability and Control by V. I. Vorotnikov |
| title_full_unstemmed | Partial Stability and Control by V. I. Vorotnikov |
| title_short | Partial Stability and Control |
| title_sort | partial stability and control |
| topic | Engineering Vibration, Dynamical Systems, Control Systems Theory, Control Dynamical Systems and Ergodic Theory Dynamics Ergodic theory System theory Vibration Dynamical systems |
| topic_facet | Engineering Vibration, Dynamical Systems, Control Systems Theory, Control Dynamical Systems and Ergodic Theory Dynamics Ergodic theory System theory Vibration Dynamical systems |
| url | https://doi.org/10.1007/978-1-4612-4150-8 |
| work_keys_str_mv | AT vorotnikovvi partialstabilityandcontrol |