Delay-range-dependent stability for systems with time-varying delays

By Dan Song-jian. 2012

137 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/dca47bae5b5311f646f7d371dc1451f055fb8a08

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay (2017, result): “Compared with the early results (such as the ones based on free-weighting-matrix approach (He et al., 2007), and Jensen inequality (Fridman, Shaked, & Liu, 2009; Park & Ko, 2011; Shao, 2009), Theorem 8 obviously reduces the conservatism with the reasonable increase of NoVs.”
Stability analysis of systems with time-varying delay via relaxed integral inequalities (2016, methodology): “Later, the improved FWM approaches [16, 17, 18] without ignoring such term were developed and used to be the most popular method for studying of different time-delay systems [19, 20, 21].”
Non-fragile saturation control of nonlinear positive Markov jump systems with time-varying delays (2019, background): “For general systemswith time-varying delay, there have been some results to remove the mentioned restriction [49,50].”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, result): “This result encompasses several of the existing approximation techniques proposed in the literature (Fridman et al., 2004; He et al., 2007) and allows for an LMI formulation.”
Integral partitioning approach to robust stabilization for uncertain distributed time‐delay systems (2012, methodology): “Making use of the delay bound information, a new Lyapunov functional is presented in [10] which improved the result in [9].”
New stability criteria for linear systems with interval time-varying delay (2013, methodology): “Much research interest have been attracted in obtaining delay dependent stability criteria of time-delay systems in the last two decades, see, for example [1-12].”
Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities (2018, background): “In the literature, there exist several major results on this topic, see for instance the Lyapunov-Krasovskii approach [24], [8], [15], [5], [23], [10], the “Input-to-State” or “Input -to-Output” approaches [6], which are related to the robust analysis [1], [11].”
Tutorial on Lyapunov-based methods for time-delay systems (2014, background): “Further, in [32] the right-hand side of (26) was upper-bounded by e1Re1 e2Re2 that was conservative.”