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Can I read Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays (SpringerBriefs in Electrical and Computer Engineering) on EtoBox?
Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays (SpringerBriefs in Electrical and Computer Engineering) by Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela (auth.) is a Computer Science article available to read on EtoBox.
What is Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays (SpringerBriefs in Electrical and Computer Engineering) about?
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
Who reads Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays (SpringerBriefs in Electrical and Computer Engineering)?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela (auth.)
- Publisher
- Springer International Publishing : Imprint: Springer
- Published
- 2015
- Language
- EN
- ISBN
- 9783319157177
- Field
- Computer Science (Physical Sciences)
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