Stability and Stabilization of Time-Delay Systems: An Eigenvalue-Based Approach
By Wim Michiels, Silviu‐Iulian Niculescu. 2007
193 citations recorded by the source corpus.
Subfields: Computer Networks and Communications, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/b6982115a18ac87ecb6ab79e85872d615e65f802
How researchers see this paper
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In Computer Networks and Communications
In Control and Systems Engineering
- Guilherme Mazanti
- Silviu-Iulian Niculescu
- Islam Boussaada
- Sorin Olaru
- Shengyuan Xu
- James Lam
- Emilia M. Fridman
- Sun Yi
Citations in the corpus
- Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design (2020, unknown): “…is the frequency domain approach since in the Laplace domain, where a number of effective methods have been proposed, the stability analysis amounts to studying the distribution of the characteristic quasipolynomial function’s roots, see for instance [3, 4, 18, 19, 21, 24, 35, 43, 54, 55, 59, 60].”
- Technical communique: Invariance properties in the root sensitivity of time-delay systems with double imaginary roots (2010, unknown): “The entire local root locus picture can be completely determined from the square root splitting of the double root.”
- Predictive Control for Linear Systems with Delayed Input Subject to Constraints (2008, background): “Various motivating examples and related discussions ca be found in Niculescu (2001), Gu et al. (2003), Michiels and Niculescu (2007).”
- Multiplicity-induced-dominancy for delay-differential equations of retarded type (2020, background): “The stability analysis of time-delay systems has attracted much research effort and is an active field [1, 13, 14, 18, 20, 21, 25, 32].”
- The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: When delay-systems characteristics meet the zeros of Kummer functions (2021, background): “In all generality, the problem of characterizing the domain in the space of the equation’s parameters that guarantee the exponential stability of solutions is a question of ongoing interest, see for instance [39].”