Stability of Dynamical Systems (Record no. 38539)

MARC details
000 -LEADER
fixed length control field 04682n a2200469#a 4500
001 - CONTROL NUMBER
control field 5000125
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20221213140639.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2008 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780817646493
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-0-8176-4649-3
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number 978-0-8176-4649-3
072 #7 - SUBJECT CATEGORY CODE
Subject category code GPFC
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI064000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code TEC004000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519
090 ## - IMPA CODE FOR CLASSIFICATION SHELVES
IMPA CODE FOR CLASSIFICATION SHELVES Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos)
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Michel, Anthony N.
9 (RLIN) 46402
245 10 - TITLE STATEMENT
Title Stability of Dynamical Systems
Medium [electronic resource]:
Remainder of title Continuous, Discontinuous, and Discrete Systems/
Statement of responsibility, etc. by Anthony N. Michel, Ling Hou, Derong Liu.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Boston:
Name of publisher, distributor, etc. Birkhäuser Boston,
Date of publication, distribution, etc. 2008.
300 ## - PHYSICAL DESCRIPTION
Other physical details digital.
490 0# - SERIES STATEMENT
Series statement Systems&Control: Foundations&Applications
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- 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 -- Index   .
520 ## - SUMMARY, ETC.
Summary, etc. In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers 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 * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics .
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
9 (RLIN) 43458
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Functional equations.
9 (RLIN) 37622
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential equations.
9 (RLIN) 43477
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential equations, Partial.
9 (RLIN) 43542
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Systems Theory.
9 (RLIN) 28017
697 ## - LOCAL SUBJECT
Local Subject Matemáticas Gerais-
Description subdivision (inclusive alguns textos elementares sobre assuntos específicos)
Linkage 23752
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Hou, Ling
9 (RLIN) 9229
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Liu, Derong
9 (RLIN) 9230
710 1# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service).
9 (RLIN) 8857
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780817644864
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Systems & Control: Foundations & Applications
9 (RLIN) 9170
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-0-8176-4649-3">http://dx.doi.org/10.1007/978-0-8176-4649-3</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Instituto de Matemática Pura e Aplicada
Koha item type E-Book

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