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 scienc...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Princeton, NJ. :
Princeton University Press,
[2009]
|
Schlagworte: | |
Online-Zugang: | Volltext |
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."--Jacket |
Beschreibung: | 1 online resource (xv, 457 pages) : illustrations |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781400833351 1400833353 9781680159875 1680159879 |
Internformat
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100 | 1 | |a Terrell, William J. | |
245 | 1 | 0 | |a Stability and stabilization : |b an introduction / |c William J. Terrell. |
264 | 1 | |a Princeton, NJ. : |b Princeton University Press, |c [2009] | |
264 | 4 | |c ©2009 | |
300 | |a 1 online resource (xv, 457 pages) : |b illustrations | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
504 | |a Includes bibliographical references and index. | ||
520 | 1 | |a "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."--Jacket | |
505 | 0 | |a Mathematical background -- Linear systems and stability -- Controllability of linear time invariant systems -- Observability and duality -- Stabilizability of LTI systems -- Detectability and duality -- Stability theory -- Cascade systems -- Center manifold theory -- Zero dynamics -- Feedback linearization of single-input nonlinear systems -- An introduction to damping control -- Passivity -- Partially linear cascade systems -- Input-to-state stability. | |
588 | 0 | |a Print version record. | |
546 | |a In English. | ||
650 | 0 | |a Stability. |0 http://id.loc.gov/authorities/subjects/sh85127185 | |
650 | 0 | |a Control theory. |0 http://id.loc.gov/authorities/subjects/sh85031658 | |
650 | 6 | |a Stabilité. | |
650 | 6 | |a Théorie de la commande. | |
650 | 7 | |a stability. |2 aat | |
650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
650 | 7 | |a Control theory |2 fast | |
650 | 7 | |a Stability |2 fast | |
655 | 4 | |a Electronic book. | |
758 | |i has work: |a Stability and stabilization (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFYrpq3gkdtcKpywFVJkpd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
776 | 0 | 8 | |i Print version: |a Terrell, William J. |t Stability and stabilization |z 9780691134444 |w (DLC) 2008926510 |w (OCoLC)276340739 |
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Datensatz im Suchindex
DE-BY-FWS_katkey | ZDB-4-EBA-ocn928017613 |
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adam_text | |
any_adam_object | |
author | Terrell, William J. |
author_facet | Terrell, William J. |
author_role | |
author_sort | Terrell, William J. |
author_variant | w j t wj wjt |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QA871 |
callnumber-raw | QA871 .T44 2009eb |
callnumber-search | QA871 .T44 2009eb |
callnumber-sort | QA 3871 T44 42009EB |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 520 |
collection | ZDB-4-EBA |
contents | Mathematical background -- Linear systems and stability -- Controllability of linear time invariant systems -- Observability and duality -- Stabilizability of LTI systems -- Detectability and duality -- Stability theory -- Cascade systems -- Center manifold theory -- Zero dynamics -- Feedback linearization of single-input nonlinear systems -- An introduction to damping control -- Passivity -- Partially linear cascade systems -- Input-to-state stability. |
ctrlnum | (OCoLC)928017613 |
dewey-full | 515.35 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.35 |
dewey-search | 515.35 |
dewey-sort | 3515.35 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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genre | Electronic book. |
genre_facet | Electronic book. |
id | ZDB-4-EBA-ocn928017613 |
illustrated | Illustrated |
indexdate | 2024-11-27T13:26:53Z |
institution | BVB |
isbn | 9781400833351 1400833353 9781680159875 1680159879 |
language | English |
oclc_num | 928017613 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (xv, 457 pages) : illustrations |
psigel | ZDB-4-EBA |
publishDate | 2009 |
publishDateSearch | 2009 |
publishDateSort | 2009 |
publisher | Princeton University Press, |
record_format | marc |
spelling | Terrell, William J. Stability and stabilization : an introduction / William J. Terrell. Princeton, NJ. : Princeton University Press, [2009] ©2009 1 online resource (xv, 457 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. "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."--Jacket Mathematical background -- Linear systems and stability -- Controllability of linear time invariant systems -- Observability and duality -- Stabilizability of LTI systems -- Detectability and duality -- Stability theory -- Cascade systems -- Center manifold theory -- Zero dynamics -- Feedback linearization of single-input nonlinear systems -- An introduction to damping control -- Passivity -- Partially linear cascade systems -- Input-to-state stability. Print version record. In English. Stability. http://id.loc.gov/authorities/subjects/sh85127185 Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Stabilité. Théorie de la commande. stability. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh MATHEMATICS Applied. bisacsh Control theory fast Stability fast Electronic book. has work: Stability and stabilization (Text) https://id.oclc.org/worldcat/entity/E39PCFYrpq3gkdtcKpywFVJkpd https://id.oclc.org/worldcat/ontology/hasWork Print version: Terrell, William J. Stability and stabilization 9780691134444 (DLC) 2008926510 (OCoLC)276340739 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1091489 Volltext |
spellingShingle | Terrell, William J. Stability and stabilization : an introduction / Mathematical background -- Linear systems and stability -- Controllability of linear time invariant systems -- Observability and duality -- Stabilizability of LTI systems -- Detectability and duality -- Stability theory -- Cascade systems -- Center manifold theory -- Zero dynamics -- Feedback linearization of single-input nonlinear systems -- An introduction to damping control -- Passivity -- Partially linear cascade systems -- Input-to-state stability. Stability. http://id.loc.gov/authorities/subjects/sh85127185 Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Stabilité. Théorie de la commande. stability. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh MATHEMATICS Applied. bisacsh Control theory fast Stability fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85127185 http://id.loc.gov/authorities/subjects/sh85031658 |
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 | Stability. http://id.loc.gov/authorities/subjects/sh85127185 Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Stabilité. Théorie de la commande. stability. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh MATHEMATICS Applied. bisacsh Control theory fast Stability fast |
topic_facet | Stability. Control theory. Stabilité. Théorie de la commande. stability. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. MATHEMATICS Applied. Control theory Stability Electronic book. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1091489 |
work_keys_str_mv | AT terrellwilliamj stabilityandstabilizationanintroduction |