Stability of dynamical systems: on the role of monotonic and non-monotonic Lyapunov functions
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2015
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Systems & control: foundations & applications
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XVIII, 653 S.) 60 illus., 14 illus. in color |
| ISBN: | 9783319152752 |
| ISSN: | 2324-9749 |
| DOI: | 10.1007/978-3-319-15275-2 |
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Datensatz im Suchindex
| _version_ | 1804153211448197120 |
|---|---|
| adam_text | STABILITY OF DYNAMICAL SYSTEMS
/ MICHEL, ANTHONY N.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION.-DYNAMICAL SYSTEMS
FUNDAMENTAL THEORY: THE PRINCIPAL STABILITY AND BOUNDEDNESS RESULTS ON
METRIC SPACES.-FUNDAMENTAL THEORY: SPECIALIZED STABILITY AND BOUNDEDNESS
RESULTS ON METRIC SPACES
APPLICATIONS TO A CLASS OF DISCRETE-EVENT SYSTEMS
FINITE-DIMENSIONAL DYNAMICAL SYSTEMS
FINITE-DIMENSIONAL DYNAMICAL SYSTEMS: SPECIALIZED
RESULTS.-APPLICATIONS TO FINITE-DIMENSIONAL DYNAMICAL
SYSTEMS.-INFINITE-DIMENSIONAL DYNAMICAL SYSTEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
STABILITY OF DYNAMICAL SYSTEMS
/ MICHEL, ANTHONY N.
: 2015
ABSTRACT / INHALTSTEXT
THE SECOND EDITION OF THIS TEXTBOOK PROVIDES A SINGLE SOURCE FOR THE
ANALYSIS OF SYSTEM MODELS REPRESENTED BY CONTINUOUS-TIME AND
DISCRETE-TIME, FINITE-DIMENSIONAL AND INFINITE-DIMENSIONAL, AND
CONTINUOUS AND DISCONTINUOUS DYNAMICAL SYSTEMS. FOR THESE SYSTEM
MODELS, IT PRESENTS RESULTS WHICH COMPRISE THE CLASSICAL LYAPUNOV
STABILITY THEORY INVOLVING MONOTONIC LYAPUNOV FUNCTIONS, AS WELL AS
CORRESPONDING CONTEMPORARY STABILITY RESULTS INVOLVING
NON-MONOTONICLYAPUNOV FUNCTIONS.SPECIFIC EXAMPLES FROM SEVERAL DIVERSE
AREAS ARE GIVEN TO DEMONSTRATE THE APPLICABILITY OF THE DEVELOPED THEORY
TO MANY IMPORTANT CLASSES OF SYSTEMS, INCLUDING DIGITAL CONTROL SYSTEMS,
NONLINEAR REGULATOR SYSTEMS, PULSE-WIDTH-MODULATED FEEDBACK CONTROL
SYSTEMS, AND ARTIFICIAL NEURAL NETWORKS. THE AUTHORS COVER THE
FOLLOWING FOUR GENERAL TOPICS: - REPRESENTATION AND
MODELING OF DYNAMICAL SYSTEMS OF THE TYPES DESCRIBED ABOVE
- PRESENTATION OF LYAPUNOV AND LAGRANGE STABILITY
THEORY FOR DYNAMICAL SYSTEMS DEFINED ON GENERAL METRIC SPACES INVOLVING
MONOTONIC AND NON-MONOTONIC LYAPUNOV FUNCTIONS -
SPECIALIZATION OF THIS STABILITY THEORY TO FINITE-DIMENSIONAL DYNAMICAL
SYSTEMS - SPECIALIZATION OF THIS STABILITY THEORY TO
INFINITE-DIMENSIONAL DYNAMICAL SYSTEMS REPLETE WITH EXAMPLES AND
REQUIRING ONLY A BASIC KNOWLEDGE OF LINEAR ALGEBRA, ANALYSIS, AND
DIFFERENTIAL EQUATIONS, THIS BOOKCAN BE USED AS A TEXTBOOK FOR GRADUATE
COURSES IN STABILITY THEORY OF DYNAMICAL SYSTEMS. IT MAY ALSO SERVE AS
A SELF-STUDY REFERENCE FOR GRADUATE STUDENTS, RESEARCHERS, AND
PRACTITIONERS IN APPLIED MATHEMATICS, ENGINEERING, COMPUTER SCIENCE,
ECONOMICS, AND THE PHYSICAL AND LIFE SCIENCES. REVIEW OF THE FIRST
EDITION: “THE AUTHORS HAVE DONE AN EXCELLENT JOB MAINTAINING THE
RIGOR OF THE PRESENTATION, AND IN PROVIDING STANDALONE STATEMENTS FOR
DIVERSE TYPES OF SYSTEMS. [THIS] IS A VERY INTERESTING BOOK WHICH
COMPLEMENTS THE EXISTING LITERATURE. [IT] IS CLEARLY WRITTEN, AND
DIFFICULT CONCEPTS ARE ILLUSTRATED BY MEANS OF GOOD EXAMPLES.” -
ALESSANDRO ASTOLFI, IEEE CONTROL SYSTEMS MAGAZINE, FEBRUARY 2009
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Michel, Anthony N. 1935- Hou, Ling Liu, Derong 1963- |
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| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-319-15275-2 |
| edition | 2. ed. |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9783319152752 |
| issn | 2324-9749 |
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| series2 | Systems & control: foundations & applications |
| spelling | Michel, Anthony N. 1935- Verfasser (DE-588)11087076X aut Stability of dynamical systems on the role of monotonic and non-monotonic Lyapunov functions Anthony N. Michel ; Ling Hou ; Derong Liu 2. ed. Cham [u.a.] Springer 2015 1 Online-Ressource (XVIII, 653 S.) 60 illus., 14 illus. in color txt rdacontent c rdamedia cr rdacarrier Systems & control: foundations & applications 2324-9749 Mathematics Functional equations Differential Equations Differential equations, partial Systems theory Systems Theory, Control Control, Robotics, Mechatronics Ordinary Differential Equations Partial Differential Equations Difference and Functional Equations Equações diferenciais ordinárias larpcal Sistemas dinâmicos larpcal Mathematik Differentiable dynamical systems Stability Stabilität (DE-588)4056693-6 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Stabilität (DE-588)4056693-6 s DE-604 Hou, Ling Verfasser (DE-588)133728080 aut Liu, Derong 1963- Verfasser (DE-588)136077811 aut Erscheint auch als Druckausgabe 978-3-319-15274-5 https://doi.org/10.1007/978-3-319-15275-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916785&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916785&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Michel, Anthony N. 1935- Hou, Ling Liu, Derong 1963- Stability of dynamical systems on the role of monotonic and non-monotonic Lyapunov functions Mathematics Functional equations Differential Equations Differential equations, partial Systems theory Systems Theory, Control Control, Robotics, Mechatronics Ordinary Differential Equations Partial Differential Equations Difference and Functional Equations Equações diferenciais ordinárias larpcal Sistemas dinâmicos larpcal Mathematik Differentiable dynamical systems Stability Stabilität (DE-588)4056693-6 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4013396-5 |
| title | Stability of dynamical systems on the role of monotonic and non-monotonic Lyapunov functions |
| title_auth | Stability of dynamical systems on the role of monotonic and non-monotonic Lyapunov functions |
| title_exact_search | Stability of dynamical systems on the role of monotonic and non-monotonic Lyapunov functions |
| title_full | Stability of dynamical systems on the role of monotonic and non-monotonic Lyapunov functions Anthony N. Michel ; Ling Hou ; Derong Liu |
| title_fullStr | Stability of dynamical systems on the role of monotonic and non-monotonic Lyapunov functions Anthony N. Michel ; Ling Hou ; Derong Liu |
| title_full_unstemmed | Stability of dynamical systems on the role of monotonic and non-monotonic Lyapunov functions Anthony N. Michel ; Ling Hou ; Derong Liu |
| title_short | Stability of dynamical systems |
| title_sort | stability of dynamical systems on the role of monotonic and non monotonic lyapunov functions |
| title_sub | on the role of monotonic and non-monotonic Lyapunov functions |
| topic | Mathematics Functional equations Differential Equations Differential equations, partial Systems theory Systems Theory, Control Control, Robotics, Mechatronics Ordinary Differential Equations Partial Differential Equations Difference and Functional Equations Equações diferenciais ordinárias larpcal Sistemas dinâmicos larpcal Mathematik Differentiable dynamical systems Stability Stabilität (DE-588)4056693-6 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Mathematics Functional equations Differential Equations Differential equations, partial Systems theory Systems Theory, Control Control, Robotics, Mechatronics Ordinary Differential Equations Partial Differential Equations Difference and Functional Equations Equações diferenciais ordinárias Sistemas dinâmicos Mathematik Differentiable dynamical systems Stability Stabilität Dynamisches System |
| url | https://doi.org/10.1007/978-3-319-15275-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916785&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916785&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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