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The Resource Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays, by Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela, (electronic book)

Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays, by Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela, (electronic book)

Label
Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays
Title
Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays
Statement of responsibility
by Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela
Creator
Contributor
Author
Subject
Language
eng
Summary
In this brief the authors establish a new frequency-sweeping framework to solve the complete stability problem for time-delay systems with commensurate delays. The text describes an analytic curve perspective which allows a deeper understanding of spectral properties focusing on the asymptotic behavior of the characteristic roots located on the imaginary axis as well as on properties invariant with respect to the delay parameters. This asymptotic behavior is shown to be related by another novel concept, the dual Puiseux series which helps make frequency-sweeping curves useful in the study of general time-delay systems. The comparison of Puiseux and dual Puiseux series leads to three important results: an explicit function of the number of unstable roots simplifying analysis and design of time-delay systems so that to some degree they may be dealt with as finite-dimensional systems; categorization of all time-delay systems into three types according to their ultimate stability properties; and a simple frequency-sweeping criterion allowing asymptotic behavior analysis of critical imaginary roots for all positive critical delays by observation. Academic researchers and graduate students interested in time-delay systems and practitioners working in a variety of fields {u2013} engineering, economics and the life sciences involving transfer of materials, energy or information which are inherently non-instantaneous, will find the results presented here useful in tackling some of the complicated problems posed by delays
Member of
Cataloging source
DE-He213
http://library.link/vocab/creatorName
Li, Xu-Guang
Dewey number
629.8
Image bit depth
0
LC call number
TJ212-225
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Niculescu, Silviu-Iulian
  • Çela, Arben
Series statement
SpringerBriefs in Electrical and Computer Engineering,
http://library.link/vocab/subjectName
  • Engineering
  • Systems theory
  • Telecommunication
Label
Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays, by Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela, (electronic book)
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 to the Stability of Time-Delay Systems -- Introduction to Analytic Curves -- Analytic Curve Perspective for Time-Delay Systems -- Computing Puiseux Series for a Critical Pair -- Invariance Property: A Unique Idea for Complete Stability Analysis -- Invariance Property for Critical Imaginary Roots (CIRs) with Index g = 1 -- Invariance Property for Critical Imaginary Roots with Index n = 1 -- Invariance Conjecture and Frequency-Sweeping Framework -- Complex Stability for Time-Delay Systems: A Unified Approach -- Extension to Neutral Time-Delay Systems -- Concluding Remarks and Further Perspectives
Control code
978-3-319-15717-7
Dimensions
unknown
Extent
XVIII, 130 p. 33 illus., 29 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319157177
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-15717-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Reproduction note
Electronic resource.
Specific material designation
remote
Label
Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays, by Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela, (electronic book)
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 to the Stability of Time-Delay Systems -- Introduction to Analytic Curves -- Analytic Curve Perspective for Time-Delay Systems -- Computing Puiseux Series for a Critical Pair -- Invariance Property: A Unique Idea for Complete Stability Analysis -- Invariance Property for Critical Imaginary Roots (CIRs) with Index g = 1 -- Invariance Property for Critical Imaginary Roots with Index n = 1 -- Invariance Conjecture and Frequency-Sweeping Framework -- Complex Stability for Time-Delay Systems: A Unified Approach -- Extension to Neutral Time-Delay Systems -- Concluding Remarks and Further Perspectives
Control code
978-3-319-15717-7
Dimensions
unknown
Extent
XVIII, 130 p. 33 illus., 29 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319157177
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-15717-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Reproduction note
Electronic resource.
Specific material designation
remote

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