Limits of Stability and Stabilization of Time-Delay Systems

Limits of Stability and Stabilization of Time-Delay Systems PDF Author: Jing Zhu
Publisher: Springer
ISBN: 3319736515
Category : Technology & Engineering
Languages : en
Pages : 228

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Book Description
This authored monograph presents a study on fundamental limits and robustness of stability and stabilization of time-delay systems, with an emphasis on time-varying delay, robust stabilization, and newly emerged areas such as networked control and multi-agent systems. The authors systematically develop an operator-theoretic approach that departs from both the traditional algebraic approach and the currently pervasive LMI solution methods. This approach is built on the classical small-gain theorem, which enables the author to draw upon powerful tools and techniques from robust control theory. The book contains motivating examples and presents mathematical key facts that are required in the subsequent sections. The target audience primarily comprises researchers and professionals in the field of control theory, but the book may also be beneficial for graduate students alike.

Limits of Stability and Stabilization of Time-Delay Systems

Limits of Stability and Stabilization of Time-Delay Systems PDF Author: Jing Zhu
Publisher: Springer
ISBN: 3319736515
Category : Technology & Engineering
Languages : en
Pages : 228

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Book Description
This authored monograph presents a study on fundamental limits and robustness of stability and stabilization of time-delay systems, with an emphasis on time-varying delay, robust stabilization, and newly emerged areas such as networked control and multi-agent systems. The authors systematically develop an operator-theoretic approach that departs from both the traditional algebraic approach and the currently pervasive LMI solution methods. This approach is built on the classical small-gain theorem, which enables the author to draw upon powerful tools and techniques from robust control theory. The book contains motivating examples and presents mathematical key facts that are required in the subsequent sections. The target audience primarily comprises researchers and professionals in the field of control theory, but the book may also be beneficial for graduate students alike.

Stability and Stabilization of Time-Delay Systems

Stability and Stabilization of Time-Delay Systems PDF Author: Wim Michiels
Publisher: SIAM
ISBN: 0898716322
Category : Mathematics
Languages : en
Pages : 383

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

Switched Time-Delay Systems

Switched Time-Delay Systems PDF Author: Magdi S. Mahmoud
Publisher: Springer Science & Business Media
ISBN: 1441963944
Category : Technology & Engineering
Languages : en
Pages : 437

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Book Description
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 PDF Author: Emilia Fridman
Publisher: Springer
ISBN: 3319093932
Category : Science
Languages : en
Pages : 381

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Book Description
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 Control of Time-delay Systems

Stability and Control of Time-delay Systems PDF Author: Luc Dugard
Publisher: Springer
ISBN: 9783540761938
Category : Technology & Engineering
Languages : en
Pages : 0

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Book Description
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.

Linear Parameter-Varying and Time-Delay Systems

Linear Parameter-Varying and Time-Delay Systems PDF Author: Corentin Briat
Publisher: Springer
ISBN: 3662440504
Category : Technology & Engineering
Languages : en
Pages : 412

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Book Description
This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.

Stability, Control and Application of Time-Delay Systems

Stability, Control and Application of Time-Delay Systems PDF Author: Qingbin Gao
Publisher: Butterworth-Heinemann
ISBN: 0128149299
Category : Technology & Engineering
Languages : en
Pages : 490

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Book Description
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

Impulsive Differential Equations

Impulsive Differential Equations PDF Author: N Perestyuk
Publisher: World Scientific
ISBN: 981449982X
Category : Science
Languages : en
Pages : 474

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Book Description
Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts

Time Delay Systems

Time Delay Systems PDF Author: Tamás Insperger
Publisher: Springer
ISBN: 3319534262
Category : Technology & Engineering
Languages : en
Pages : 359

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Book Description
This volume collects contributions related to selected presentations from the 12th IFAC Workshop on Time Delay Systems, Ann Arbor, June 28-30, 2015. The included papers present novel techniques and new results of delayed dynamical systems. The topical spectrum covers control theory, numerical analysis, engineering and biological applications as well as experiments and case studies. The target audience primarily comprises research experts in the field of time delay systems, but the book may also be beneficial for graduate students alike.

Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay

Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay PDF Author: Yusheng Wei
Publisher: Springer Nature
ISBN: 3030534294
Category : Science
Languages : en
Pages : 360

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Book Description
This monograph is the first of its kind to present innovative research results on truncated predictor feedback (TPF) designs for general linear systems with input delay. Beginning with a brief review of time delay systems, the first half of the book focuses on TPF with a constant feedback parameter. Both state feedback and output feedback are considered. It is established that TPF achieves stabilization in the presence of an arbitrarily large bounded delay if the open loop system is not exponentially unstable. Examples are presented to illustrate that TPF may fail to stabilize an exponentially unstable system when the delay is sufficiently large. Bounds on the delay are then established under which stabilization can be achieved. The second half of the book explores variations of the TPF laws designed with a non-constant feedback parameter to accommodate unknown delays and improve closed-loop performance. The authors employ a step-by-step approach to presenting the ultimate result on a completely delay-independent feedback law. Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay will appeal to control engineers, control theorists, and graduate students studying control systems. This volume will also be a valuable resource for engineers and applied mathematicians interested in dynamic systems with time delays.