Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays (Record no. 53617)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03971nam a22005175i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-15717-7 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200421111157.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 150408s2015 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319157177 |
| -- | 978-3-319-15717-7 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 629.8 |
| 100 1# - AUTHOR NAME | |
| Author | Li, Xu-Guang. |
| 245 10 - TITLE STATEMENT | |
| Title | Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XVIII, 130 p. 33 illus., 29 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | SpringerBriefs in Electrical and Computer Engineering, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 - 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. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Niculescu, Silviu-Iulian. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Cela, Arben. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-319-15717-7 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2015. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | System theory. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Control engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electrical engineering. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Control. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Systems Theory, Control. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Communications Engineering, Networks. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2191-8112 |
| 912 ## - | |
| -- | ZDB-2-ENG |
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