Holdings: Stability of dynamical systems

Stability of dynamical systems: on the role of monotonic and non-monotonic Lyapunov functions

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Bibliographic Details
Main Authors:	Michel, Anthony N. 1935- (Author), Hou, Ling (Author), Liu, Derong 1963- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer 2015
Edition:	2. ed.
Series:	Systems & control: foundations & applications
Subjects:	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
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	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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Record in the Search Index

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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.
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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
work_keys_str_mv	AT michelanthonyn stabilityofdynamicalsystemsontheroleofmonotonicandnonmonotoniclyapunovfunctions AT houling stabilityofdynamicalsystemsontheroleofmonotonicandnonmonotoniclyapunovfunctions AT liuderong stabilityofdynamicalsystemsontheroleofmonotonicandnonmonotoniclyapunovfunctions

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