Stability and Stabilization: An Introduction
Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, en...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2009]
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| Schlagworte: | |
| Online-Zugang: | DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 URL des Erstveröffentlichers |
| Zusammenfassung: | Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems. Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems. Focuses on stability and feedback stabilization Bridges the gap between linear and nonlinear systems for advanced undergraduates and beginning graduate students Balances coverage of linear and nonlinear systems Covers cascade systems Includes many examples and exercises |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Oct. 27, 2016) |
| Beschreibung: | 1 online resource |
| ISBN: | 9781400833351 |
| DOI: | 10.1515/9781400833351 |
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Datensatz im Suchindex
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| author | Terrell, William J. |
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| spelling | Terrell, William J. Verfasser aut Stability and Stabilization An Introduction William J. Terrell Princeton, NJ Princeton University Press [2009] © 2009 1 online resource txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed Oct. 27, 2016) Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems. Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems. Focuses on stability and feedback stabilization Bridges the gap between linear and nonlinear systems for advanced undergraduates and beginning graduate students Balances coverage of linear and nonlinear systems Covers cascade systems Includes many examples and exercises In English Control theory Stability Stabilität (DE-588)4056693-6 gnd rswk-swf System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd rswk-swf System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 s Stabilität (DE-588)4056693-6 s 1\p DE-604 https://doi.org/10.1515/9781400833351 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Terrell, William J. Stability and Stabilization An Introduction Control theory Stability Stabilität (DE-588)4056693-6 gnd System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4116671-1 |
| title | Stability and Stabilization An Introduction |
| title_auth | Stability and Stabilization An Introduction |
| title_exact_search | Stability and Stabilization An Introduction |
| title_full | Stability and Stabilization An Introduction William J. Terrell |
| title_fullStr | Stability and Stabilization An Introduction William J. Terrell |
| title_full_unstemmed | Stability and Stabilization An Introduction William J. Terrell |
| title_short | Stability and Stabilization |
| title_sort | stability and stabilization an introduction |
| title_sub | An Introduction |
| topic | Control theory Stability Stabilität (DE-588)4056693-6 gnd System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd |
| topic_facet | Control theory Stability Stabilität System von gewöhnlichen Differentialgleichungen |
| url | https://doi.org/10.1515/9781400833351 |
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