Stability and Control of Time delay Systems

Stability and Control of Time delay Systems
Author: Luc Dugard,Erik I. Verriest
Publsiher: Springer
Total Pages: 0
Release: 1997-10-07
Genre: Technology & Engineering
ISBN: 3540761934

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Although the last decade has witnessed significant advances in control theory for finite and infinite dimensional systems, the stability and control of time-delay systems have not been fully investigated. Many problems exist in this field that are still unresolved, and there is a tendency for the numerical methods available either to be too general or too specific to be applied accurately across a range of problems. This monograph brings together the latest trends and new results in this field, with the aim of presenting methods covering a large range of techniques. Particular emphasis is placed on methods that can be directly applied to specific problems. The resulting book is one that will be of value to both researchers and practitioners.

Stability Control and Computation for Time Delay Systems

Stability  Control  and Computation for Time Delay Systems
Author: Wim Michiels,Silviu-Iulian Niculescu
Publsiher: SIAM
Total Pages: 443
Release: 2014-12-11
Genre: Mathematics
ISBN: 9781611973624

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Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems.? In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book?s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.?

Stability of Time Delay Systems

Stability of Time Delay Systems
Author: Keqin Gu,Vladimir L. Kharitonov,Jie Chen
Publsiher: Springer Science & Business Media
Total Pages: 367
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 9781461200390

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This book is a self-contained presentation of the background and progress of the study of time-delay systems, a subject with broad applications to a number of areas.

Stability Control and Application of Time Delay Systems

Stability  Control and Application of Time Delay Systems
Author: Qingbin Gao,Hamid Reza Karimi
Publsiher: Butterworth-Heinemann
Total Pages: 490
Release: 2019-06-27
Genre: Technology & Engineering
ISBN: 9780128149294

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Stability, Control and Application of Time-Delay Systems gives a systematic description of these systems. It includes adequate designs of integrated modeling and control and frequency characterizations. Common themes revolve around creating certain synergies of modeling, analysis, control, computing and applications of time delay systems that achieve robust stability while retaining desired performance quality. The book provides innovative insights into the state-of-the-art of time-delay systems in both theory and practical aspects. It has been edited with an emphasis on presenting constructive theoretical and practical methodological approaches and techniques. - Unifies existing and emerging concepts concerning time delay dynamical systems - Provides a series of the latest results in large-delay analysis and multi-agent and thermal systems with delays - Gives in each chapter numerical and simulation results in order to reflect the engineering practice

Switched Time Delay Systems

Switched Time Delay Systems
Author: Magdi S. Mahmoud
Publsiher: Springer Science & Business Media
Total Pages: 437
Release: 2010-09-14
Genre: Technology & Engineering
ISBN: 9781441963949

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In many practical applications we deal with a wide class of dynamical systems that are comprised of a family of continuous-time or discrete-time subsystems and a rule orchestrating the switching between the subsystems. This class of systems is frequently called switched system. Switched linear systems provide a framework that bridges the linear systems and the complex and/or uncertain systems. The mo- vation for investigating this class of systems is twofold: ?rst, it has an inherent multi-modal behavior in the sense that several dynamical subsystems are required to describe their behavior, which might depend on various environmental factors. Second, the methods of intelligent control systems are based on the idea of swit- ing between different controllers. Looked at in this light, switched systems provide an integral framework to deal with complex system behaviors such as chaos and multiple limit cycles and gain more insights into powerful tools such as intelligent control, adaptive control, and robust control. Switched systems have been inves- gated for a long time in the control and systems literature and have increasingly attracted more attention for the past three decades. The number of journal articles, books, and conference papers have grown exponentially and a number of fundam- tal concepts and powerful tools have been developed. It has been pointed out that switched systems have been studied from various viewpoints.

Introduction to Time Delay Systems

Introduction to Time Delay Systems
Author: Emilia Fridman
Publsiher: Springer
Total Pages: 381
Release: 2014-09-02
Genre: Science
ISBN: 9783319093932

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The beginning of the 21st century can be characterized as the” time-delay boom” leading to numerous important results. The purpose of this book is two-fold, to familiarize the non-expert reader with time-delay systems and to provide a systematic treatment of modern ideas and techniques for experts. This book is based on the course ”Introduction to time-delay systems” for graduate students in Engineering and Applied Mathematics that the author taught in Tel Aviv University in 2011-2012 and 2012-2013 academic years. The sufficient background to follow most of the material are the undergraduate courses in mathematics and an introduction to control. The book leads the reader from some basic classical results on time-delay systems to recent developments on Lyapunov-based analysis and design with applications to the hot topics of sampled-data and network-based control. The objective is to provide useful tools that will allow the reader not only to apply the existing methods, but also to develop new ones. It should be of interest for researchers working in the field, for graduate students in engineering and applied mathematics, and for practicing engineers. It may also be used as a textbook for a graduate course on time-delay systems.

Stability and Stabilization of Time Delay Systems

Stability and Stabilization of Time Delay Systems
Author: Wim Michiels,Silviu-Iulian Niculescu
Publsiher: SIAM
Total Pages: 383
Release: 2007-01-01
Genre: Mathematics
ISBN: 9780898716320

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An overall solution to the (robust) stability analysis and stabilisation problem of linear time-delay systems.

Semi Discretization for Time Delay Systems

Semi Discretization for Time Delay Systems
Author: Tamás Insperger,Gábor Stépán
Publsiher: Springer Science & Business Media
Total Pages: 181
Release: 2011-07-15
Genre: Mathematics
ISBN: 9781461403357

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This book presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. Delay differential equations often come up in different fields of engineering, like feedback control systems, machine tool vibrations, balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. If parametric excitation is coupled with the delay effect, then the governing equation is a delay differential equation with time periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. The method can effectively be used to construct stability diagrams in the space of system parameters.