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

• Main Authors: Li, Xu-Guang (Author), Niculescu, Silviu-Iulian (Author), Cela, Arben (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: SpringerBriefs in Electrical and Computer Engineering,
• Subjects: Engineering.; System theory.; Control engineering.; Electrical engineering.; Control.; Systems Theory, Control.; Communications Engineering, Networks.

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...

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.