Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays

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 behav...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Li, Xu-Guang (Author), Niculescu, Silviu-Iulian (Author), Cela, Arben (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:SpringerBriefs in Control, Automation and Robotics,
Subjects:
Control engineering.
System theory.
Control theory.
Telecommunication.
Control and Systems Theory.
Systems Theory, Control .
Communications Engineering, Networks.
Online Access:Texto Completo
Table of 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.

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