Time-delay systems: an overview of some recent advances and open problems

By Jean-Pierre Richard. at - Automatisierungstechnik, 2003

3,346 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/f5f98c6cc1650106e7b8bb1ff118b62dc6c6b71d

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In Computational Theory and Mathematics

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Citations in the corpus

Numerical differentiation with annihilators in noisy environment (2009, background): “1For instance, it is known that introducing delayed signals in a control loop of a system tends to destabilize it [30, 33].”
A Survey of Recent Results in Networked Control Systems (2007, methodology): “The Lyapunov–Krasovskii and the Razumikhin theorems [11], [13], [ 55 ] are the two main tools available to study the stability of DDEs of the form of (46) and (47).”
Teleoperation Control Based on Combination of Wave Variable and Neural Networks (2017, background): “Much effort has been made to handle the effect of time delays [6], especially in the bilateral teleoperation system [7], [8].”
A survey of distributed optimization (2019, background): “It is known that for a single system time delays might degrade the sys-tem performance or even destroy the stability ( Richard, 2003; Zhu, Qi, Ma, & Chen, 2018 ).”
Eigenvalue Assignment via the Lambert W Function for Control of Time-delay Systems (2010, methodology): “(1999), the implementation of such a controller is still an open problem (Richard, 2003).”
A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, background): “Time-delay systems are also referred to as hereditary systems, time-lag systems, dead-time systems, systems with aftereffects, or differential-difference equations (Gu and Niculescu 2003 ; Richard 2003 ).”
Stability analysis for continuous systems with two additive time-varying delay components (2007, background): “It is easy to see the great number of research results concerning time-delay systems scattered in the literature (please refer to some survey papers [6,16] and monographs [5,9,14] for detailed presentation of recent developments on delay systems).”
Observer design and output feedback stabilization for nonlinear multivariable systems with diffusion PDE-governed sensor dynamics (2013, background): “As mentioned in [14] and [36], time-delay systems often appear as simple infinite-dimensional models in the very complex area of PDE.”
A new delay system approach to network-based control (2008, background): “The importance of the study on time-delay systems is further highlighted by the recent survey paper (Richard, 2003) and monographs (Gu, Kharitonov, & Chen, 2003; Niculescu, 2001).”