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The Resource Stability of Dynamical Systems : On the Role of Monotonic and NonMonotonic Lyapunov Functions, by Anthony N. Michel, Ling Hou, Derong Liu, (electronic resource)
Stability of Dynamical Systems : On the Role of Monotonic and NonMonotonic Lyapunov Functions, by Anthony N. Michel, Ling Hou, Derong Liu, (electronic resource)
Resource Information
The item Stability of Dynamical Systems : On the Role of Monotonic and NonMonotonic Lyapunov Functions, by Anthony N. Michel, Ling Hou, Derong Liu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Stability of Dynamical Systems : On the Role of Monotonic and NonMonotonic Lyapunov Functions, by Anthony N. Michel, Ling Hou, Derong Liu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 The second edition of this textbook provides a single source for the analysis of system models represented by continuoustime and discretetime, finitedimensional and infinitedimensional, 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 nonmonotonicLyapunov 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, pulsewidthmodulated 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 nonmonotonic Lyapunov functions  Specialization of this stability theory to finitedimensional dynamical systems  Specialization of this stability theory to infinitedimensional 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 selfstudy 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
 Language
 eng
 Edition
 2nd ed. 2015.
 Extent
 XVIII, 653 p. 60 illus., 14 illus. in color.
 Contents

 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 DiscreteEvent Systems
 FiniteDimensional Dynamical Systems
 FiniteDimensional Dynamical Systems: Specialized Results. Applications to FiniteDimensional Dynamical Systems. InfiniteDimensional Dynamical Systems
 Isbn
 9783319152752
 Label
 Stability of Dynamical Systems : On the Role of Monotonic and NonMonotonic Lyapunov Functions
 Title
 Stability of Dynamical Systems
 Title remainder
 On the Role of Monotonic and NonMonotonic Lyapunov Functions
 Statement of responsibility
 by Anthony N. Michel, Ling Hou, Derong Liu
 Subject

 Differential equations, partial
 Ordinary Differential Equations
 Functional equations
 Systems Theory, Control
 Differential Equations
 Functional equations
 Electronic resources
 Mathematics
 Partial Differential Equations
 Control, Robotics, Mechatronics
 Mathematics
 Difference and Functional Equations
 Differential Equations
 Systems theory
 Differential equations, partial
 Language
 eng
 Summary
 The second edition of this textbook provides a single source for the analysis of system models represented by continuoustime and discretetime, finitedimensional and infinitedimensional, 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 nonmonotonicLyapunov 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, pulsewidthmodulated 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 nonmonotonic Lyapunov functions  Specialization of this stability theory to finitedimensional dynamical systems  Specialization of this stability theory to infinitedimensional 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 selfstudy 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
 http://library.link/vocab/creatorName
 Michel, Anthony N
 Image bit depth
 0
 LC call number

 Q295
 QA402.3402.37
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Hou, Ling.
 Liu, Derong.
 SpringerLink
 Series statement
 Systems & Control: Foundations & Applications,
 http://library.link/vocab/subjectName

 Mathematics
 Functional equations
 Differential Equations
 Differential equations, partial
 Systems theory
 Mathematics
 Systems Theory, Control
 Control, Robotics, Mechatronics
 Ordinary Differential Equations
 Partial Differential Equations
 Difference and Functional Equations
 Label
 Stability of Dynamical Systems : On the Role of Monotonic and NonMonotonic Lyapunov Functions, by Anthony N. Michel, Ling Hou, Derong Liu, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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 DiscreteEvent Systems  FiniteDimensional Dynamical Systems  FiniteDimensional Dynamical Systems: Specialized Results. Applications to FiniteDimensional Dynamical Systems. InfiniteDimensional Dynamical Systems
 Dimensions
 unknown
 Edition
 2nd ed. 2015.
 Extent
 XVIII, 653 p. 60 illus., 14 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319152752
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319152752
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319152752
 Label
 Stability of Dynamical Systems : On the Role of Monotonic and NonMonotonic Lyapunov Functions, by Anthony N. Michel, Ling Hou, Derong Liu, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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 DiscreteEvent Systems  FiniteDimensional Dynamical Systems  FiniteDimensional Dynamical Systems: Specialized Results. Applications to FiniteDimensional Dynamical Systems. InfiniteDimensional Dynamical Systems
 Dimensions
 unknown
 Edition
 2nd ed. 2015.
 Extent
 XVIII, 653 p. 60 illus., 14 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319152752
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319152752
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319152752
Subject
 Control, Robotics, Mechatronics
 Difference and Functional Equations
 Differential Equations
 Differential Equations
 Differential equations, partial
 Differential equations, partial
 Electronic resources
 Functional equations
 Functional equations
 Mathematics
 Mathematics
 Ordinary Differential Equations
 Partial Differential Equations
 Systems Theory, Control
 Systems theory
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