A survey of linear matrix inequality techniques in stability analysis of delay systems
By Shengyuan Xu, James Lam. International Journal of Systems Science, 2008
422 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/c3dd5e22d4eac457e3ecd07ba9acecea4b33ed7f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
In Computer Networks and Communications
In Control and Systems Engineering
Citations in the corpus
- New insight into delay‐dependent stability of time‐delay systems (2015, result): “Note that it has been shown in [11] that the asymptotic stability conditions for the time-delay system in (1) and (2) reported in [15, 16, 26–30] are equivalent to that in Corollary 1.”
- A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks (2014, methodology): “A good survey of LMI techniques in stability analysis of delayed systems was presented in [283], and LMI methods in control applications were reviewed in [48] and [60].”
- Synchronization of neutral complex dynamical networks with coupling time-varying delays (2011, methodology): “The derived sufficient condition for stability is formulated by LMIs [ 24 ] that are easily solvable using various numerical convex optimization algorithms.”
- Stability analysis and control for switched stochastic delayed systems (2016, background): “In fact, as pointed out in [8], the free matrix variables are redundant for the case of stability analysis for deterministic time-delay systems, because the relevant results can be simplified to their equivalent versions by canceling the slack matrices [8].”