Delay-dependent stability and H ∞ control: Constant and time-varying delays

By Emilia M. Fridman, Uri Shaked. 2003

751 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/6cf325a8ec0093be75c4f2025e79841415f8463b

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In Computational Theory and Mathematics

In Computer Networks and Communications

In Control and Systems Engineering

Citations in the corpus

Delay-dependent stabilization of linear systems with time-varying state and input delays (2005, methodology): “To illustrate this point, we compare Theorem 4 with the descriptor model transformation method in Fridman and Shaked (2002, 2003)andGao and Wang (2003).”
Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality (2015, methodology): “Another technique is based on the construction of Lyapunov-Krasovskii functionals (see for instance [3], [4]).”
Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters (2011, methodology): “Among the past results on neutral delay systems, the LMI approach is an efficient method to solve many control problems such as stability analysis and stabilization [29]–[31] and control problems [ 32 ]–[35].”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, methodology): “This permits to adapt the tools for the analysis of systems with fast varying delays [76,97,225,198].”
A refined input delay approach to sampled-data control (2010, positive): “…the following standard time-independent integral term (see e.g. Fridman et al., 2004; Fridman & Shaked, 2003; He, Wang, Xie, & Lin, 2007; Park & Ko, 2007) VR(ẋt) = ∫ 0 −h ∫ t t+θ ẋT (s)Rẋ(s)dsdθ, R > 0, (39) which was introduced for systems with fast-varying delays in Fridman and Shaked (2003).”
Delay-dependent robust H∞ control for uncertain discrete-time singular systems with time-delays (2008, methodology): “Commonly, the approaches to solved time-delay systems can be classified into two types: delay-dependent conditions, which include information on the size of delays [8,9,11,14,15], and delay-independent conditions, which are applicable to delays of arbitrary size [10,13,17,18,22].”
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 [5], [8], [10], [16], [23], [24], the “Input-to-State” or “Input -to-Output” approaches [6], which are related to the robust analysis [1], [11].”
Stability analysis for continuous systems with two additive time-varying delay components (2007, methodology): “Some typical model transformation methods are summarized in [2].”
Tutorial on Lyapunov-based methods for time-delay systems (2014, methodology): “The above V with S1⁄40 was introduced in [20], whereas the S-dependent term was added in [32].”