The Resource Stability of Dynamical Systems : On the Role of Monotonic and Non-Monotonic Lyapunov Functions, by Anthony N. Michel, Ling Hou, Derong Liu, (electronic resource)

Stability of Dynamical Systems : On the Role of Monotonic and Non-Monotonic Lyapunov Functions, by Anthony N. Michel, Ling Hou, Derong Liu, (electronic resource)

Label
Stability of Dynamical Systems : On the Role of Monotonic and Non-Monotonic Lyapunov Functions
Title
Stability of Dynamical Systems
Title remainder
On the Role of Monotonic and Non-Monotonic Lyapunov Functions
Statement of responsibility
by Anthony N. Michel, Ling Hou, Derong Liu
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Michel, Anthony N
Image bit depth
0
LC call number
  • Q295
  • QA402.3-402.37
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 Non-Monotonic Lyapunov Functions, by Anthony N. Michel, Ling Hou, Derong Liu, (electronic resource)
Instantiates
Publication
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 Discrete-Event Systems -- Finite-Dimensional Dynamical Systems -- Finite-Dimensional Dynamical Systems: Specialized Results.- Applications to Finite-Dimensional Dynamical Systems.- Infinite-Dimensional 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
10.1007/978-3-319-15275-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-15275-2
Label
Stability of Dynamical Systems : On the Role of Monotonic and Non-Monotonic Lyapunov Functions, by Anthony N. Michel, Ling Hou, Derong Liu, (electronic resource)
Publication
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 Discrete-Event Systems -- Finite-Dimensional Dynamical Systems -- Finite-Dimensional Dynamical Systems: Specialized Results.- Applications to Finite-Dimensional Dynamical Systems.- Infinite-Dimensional 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
10.1007/978-3-319-15275-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-15275-2

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