Stability of Time-Delay Systems

By Keqin Gu, Vladimir L. Kharitonov, Jie Chen. Control engineering, 2003

4,433 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/ccf2f0696c43c60f333fa32678507b1f37d252bd

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Citations in the corpus

New results on H∞ dynamic output feedback control for Markovian jump systems with time‐varying delay and defective mode information (2014, methodology): “[27], to transform the system N † in (3) into an interconnection formulation in (5) with additional input .”
Output Feedback Stabilization for a Discrete-Time System With a Time-Varying Delay (2008, neutral): “[ 6 ] G. Shi, A. Saberi, and A. A. Stoorvogel, “On performance with”
Hierarchy of LMI conditions for the stability analysis of time-delay systems (2015, methodology): “All of them are composed by the sum of several typical terms [11].”
On stability crossing curves for general systems with two delays (2004, background): “Indeed, it is the main subject of many books over the last few decades, see, for example, [1,12,13,18,19,22].”
A Dynamic Event-Triggered Transmission Scheme for Distributed Set-Membership Estimation Over Wireless Sensor Networks (2019, neutral): “Applying S-procedure [48], inequality (24) holds if there exist positive scalar sequences m(k), m = 1, 2, 3, such that T(k)Ũ−1(k + 1) (k)+ + 1(k) 1(k) + 2(k) 2(k)+ 3(k) 3 + (k) ≤ 0.”
Improved robust stability criteria and design of robust stabilizing controller for uncertain linear time‐delay systems (2006, methodology): “Instead, unlike [23], the proposed approach considers the use of Jensen integral inequality [11], thus one can succeed to collect all the terms of the functional derivative into a single quadratic expression which leads to a single LMI condition.”
LMI approach to exponential stability of linear systems with interval time-varying delays (2012, neutral): “2 [9].”
Tutorial on Lyapunov-based methods for time-delay systems (2014, methodology): “The input–output approach was introduced for nonlinear time-varying finite-dimensional systems by Zames [72], it was extended to continuous-time linear systems with constant delays in [34,73] and with slowly varying delays in [28].”
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): “According to the discretization technique in [19], the delay intervals and are, respectively, divided into segments”
Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay (2015, background): “Although a general functional was presented in [6] for a constant-delay system, it is not easy to find a suitable one for a time-varying-delay system because a Lyapunov–Krasovskii functional contains both the delay and its bound.”
Technical communique: On stability of second-order quasi-polynomials with a single delay (2006, neutral): “Niculescu, 2001; Gu et al., 2003 ) and the references therein.”