Linear Time Delay Systems 1998
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Linear Time Delay Systems 1998
There exists today an increasing interest in the study of time delay systems because delayed systems are encountered frequently in practice and time delays are often a source of instability. The first workshop in this rapidly growing field of time delay systems was organized by the Laboratoire d'Automatique de Grenoble, France and sponsored by the IFAC Technical Committee on Linear Systems. The 50 participants had the possibility to attend 4 plenary sessions and 2 invited sessions as well as 30 contributed papers selected from 40 submitted papers coming from 17 countries. The technical papers, arranged in 11 sessions, covered the field of linear time delay systems, including algebraic and structural properties, stability analysis, stabilization, Hinf control, robust stabilization and some applications.
Deterministic and Stochastic Time-Delay Systems
Author: El-Kebir Boukas
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their con trol in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alterna tive consists of linearizing the nonlinear dynamical stochastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and stochastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.
Advances in Time-Delay Systems
Author: Silviu-Iulian Niculescu
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
In the mathematical description of a physical or biological process, it is a common practice \0 assume that the future behavior of Ihe process considered depends only on the present slate, and therefore can be described by a finite sct of ordinary diffe rential equations. This is satisfactory for a large class of practical systems. However. the existence of lime-delay elements, such as material or infonnation transport, of tcn renders such description unsatisfactory in accounting for important behaviors of many practical systems. Indeed. due largely to the current lack of effective metho dology for analysis and control design for such systems, the lime-delay elements arc often either neglected or poorly approximated, which frequently results in analysis and simulation of insufficient accuracy, which in turns leads to poor performance of the systems designed. Indeed, it has been demonstrated in the area of automatic control that a relatively small delay may lead to instability or significantly deteriora ted perfonnances for the corresponding closed-loop systems.