Delay Effects on Stability: A Robust Control Approach

By Silviu-Iulian Niculescu. 2001

2,008 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/34f84856aed45dbe1c3a4275d56a94a5d67097b7

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Citations in the corpus

Effects of Delay in Multi-Agent Consensus and Oscillator Synchronization (2010, background): “, it is stable for all and finite [31].”
Simple stability conditions for linear positive discrete-time systems with delays (2008, background): “Introduction A dynamical system is called positive if any trajectory of the system starting form non-negative initial states remains forever non-negative for non-negative controls.”
Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters (2011, background): “On another research front line, time delays for many dynamic systems have been much investigated; see for example [18].”
Further results on delay‐dependent robust stability conditions of uncertain neutral systems (2005, background): “Practical examples of neutral delay-differential systems can be found in the distributed networks containing lossless transmission lines [8], population ecology [9], processes including steam or water pipes, heat exchanges [2], and other areas [1, 3, 4].”
Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach (2004, unknown): “The stability issue in the cases of time-varying delay without any restrictions on the derivative of the delay has been treated mainly via Lyapunov-Razumikhin functions, which usually lead to conservative results (see e.g. Hale & Lunel, 1993; Cao, Sun & Cheng, 1998; Kolmanovskii & Myshkis, 2000; Nic”
Passivity and passification of stochastic impulsive memristor‐based piecewise linear system with mixed delays (2015, background): “Moreover, time delays occur and vary frequently in those engineering, biological, and economical systems and, sometimes, depend on the histories heavily and result in oscillation and instability of systems [21–23].”
Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients (2004, background): “Examples are recycled reactors, recycled storage tanks and cold rolling mills [21].”
Regional stabilization and H∞ control of time‐delay systems with saturating actuators (2003, methodology): “When uniformly bounded disturbances are present, the issue of finding an ellipsoid that bounds the set of states reachable from the origin in finite time (in Euclidean space) is treated via a Lyapunov–Razumikhin function, along with an S procedure and an application of the first order and parameteri”
When will zeros of time-delay systems cross imaginary axis? (2007, background): “, solving a generalized eigenvalue problem [10], [16], [17].”