The Dynamics of Control:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2000
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Schriftenreihe: | Systems & Control: Foundations & Applications
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | The Dynamics of Control provides a carefully integrated development of the mathematical connections between nonlinear control, dynamical systems, and time-varying perturbed systems for scientists and engineers. The central theme is the notion of control flow with its global dynamics and linearization presented in detail. The book's scope is comprehensive and includes global theory of dynamical systems under time-varying perturbations, global and local dynamics of control systems, connections between control systems and dynamical systems and the relevant numerical methods for global dynamics, linearization, and stability. Topics are developed with a diverse and extensive selection of applied problems from control and dynamical systems. Topics and Features: * complete coverage of unified theory of control flows * wide array of motivating problems from control and dynamical systems to appeal to mathematicians, scientists, and engineers * relevant motivation and a listing of important definitions and results at the beginning of each chapter * a compilation of essential background information in four appendices: nonlinear geometric control, topological theory of dynamical systems, computations of reachable sets, and numerical solution of Hamilton–Jacobi–Belman equations * discussion of numerical methods This new text and self-study reference guide is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics, and nonlinear dynamics will find the book a rich source of ideas, methods, and applications |
Beschreibung: | 1 Online-Ressource (XII, 629 p) |
ISBN: | 9781461213505 9781461271079 |
ISSN: | 2324-9749 |
DOI: | 10.1007/978-1-4612-1350-5 |
Internformat
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Datensatz im Suchindex
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any_adam_object | |
author | Colonius, Fritz |
author_facet | Colonius, Fritz |
author_role | aut |
author_sort | Colonius, Fritz |
author_variant | f c fc |
building | Verbundindex |
bvnumber | BV042419811 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519 |
dewey-search | 519 |
dewey-sort | 3519 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4612-1350-5 |
format | Electronic eBook |
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id | DE-604.BV042419811 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:05Z |
institution | BVB |
isbn | 9781461213505 9781461271079 |
issn | 2324-9749 |
language | English |
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publisher | Birkhäuser Boston |
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series2 | Systems & Control: Foundations & Applications |
spelling | Colonius, Fritz Verfasser aut The Dynamics of Control by Fritz Colonius, Wolfgang Kliemann Boston, MA Birkhäuser Boston 2000 1 Online-Ressource (XII, 629 p) txt rdacontent c rdamedia cr rdacarrier Systems & Control: Foundations & Applications 2324-9749 The Dynamics of Control provides a carefully integrated development of the mathematical connections between nonlinear control, dynamical systems, and time-varying perturbed systems for scientists and engineers. The central theme is the notion of control flow with its global dynamics and linearization presented in detail. The book's scope is comprehensive and includes global theory of dynamical systems under time-varying perturbations, global and local dynamics of control systems, connections between control systems and dynamical systems and the relevant numerical methods for global dynamics, linearization, and stability. Topics are developed with a diverse and extensive selection of applied problems from control and dynamical systems. Topics and Features: * complete coverage of unified theory of control flows * wide array of motivating problems from control and dynamical systems to appeal to mathematicians, scientists, and engineers * relevant motivation and a listing of important definitions and results at the beginning of each chapter * a compilation of essential background information in four appendices: nonlinear geometric control, topological theory of dynamical systems, computations of reachable sets, and numerical solution of Hamilton–Jacobi–Belman equations * discussion of numerical methods This new text and self-study reference guide is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics, and nonlinear dynamics will find the book a rich source of ideas, methods, and applications Mathematics Systems theory Physics Engineering Systems Theory, Control Complexity Control, Robotics, Mechatronics Ingenieurwissenschaften Mathematik Komplexes System (DE-588)4114261-5 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Regelungssystem (DE-588)4134712-2 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Komplexes System (DE-588)4114261-5 s Regelungssystem (DE-588)4134712-2 s Dynamisches System (DE-588)4013396-5 s Kontrolltheorie (DE-588)4032317-1 s Störungstheorie (DE-588)4128420-3 s 1\p DE-604 Kliemann, Wolfgang Sonstige oth https://doi.org/10.1007/978-1-4612-1350-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Colonius, Fritz The Dynamics of Control Mathematics Systems theory Physics Engineering Systems Theory, Control Complexity Control, Robotics, Mechatronics Ingenieurwissenschaften Mathematik Komplexes System (DE-588)4114261-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd Regelungssystem (DE-588)4134712-2 gnd Dynamisches System (DE-588)4013396-5 gnd Störungstheorie (DE-588)4128420-3 gnd |
subject_GND | (DE-588)4114261-5 (DE-588)4032317-1 (DE-588)4134712-2 (DE-588)4013396-5 (DE-588)4128420-3 |
title | The Dynamics of Control |
title_auth | The Dynamics of Control |
title_exact_search | The Dynamics of Control |
title_full | The Dynamics of Control by Fritz Colonius, Wolfgang Kliemann |
title_fullStr | The Dynamics of Control by Fritz Colonius, Wolfgang Kliemann |
title_full_unstemmed | The Dynamics of Control by Fritz Colonius, Wolfgang Kliemann |
title_short | The Dynamics of Control |
title_sort | the dynamics of control |
topic | Mathematics Systems theory Physics Engineering Systems Theory, Control Complexity Control, Robotics, Mechatronics Ingenieurwissenschaften Mathematik Komplexes System (DE-588)4114261-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd Regelungssystem (DE-588)4134712-2 gnd Dynamisches System (DE-588)4013396-5 gnd Störungstheorie (DE-588)4128420-3 gnd |
topic_facet | Mathematics Systems theory Physics Engineering Systems Theory, Control Complexity Control, Robotics, Mechatronics Ingenieurwissenschaften Mathematik Komplexes System Kontrolltheorie Regelungssystem Dynamisches System Störungstheorie |
url | https://doi.org/10.1007/978-1-4612-1350-5 |
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