Control Of Complex Nonlinear Systems With Delay

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Control of Complex Nonlinear Systems with Delay

Author : Philipp Hövel
Publisher : Springer Science & Business Media
ISBN 13 : 3642141102
Total Pages : 261 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Control of Complex Nonlinear Systems with Delay by : Philipp Hövel

Download or read book Control of Complex Nonlinear Systems with Delay written by Philipp Hövel and published by Springer Science & Business Media. This book was released on 2010-09-27 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research addresses delay effects in nonlinear systems, which are ubiquitous in various fields of physics, chemistry, biology, engineering, and even in social and economic systems. They may arise as a result of processing times or due to the finite propagation speed of information between the constituents of a complex system. Time delay has two complementary, counterintuitive and almost contradictory facets. On the one hand, delay is able to induce instabilities, bifurcations of periodic and more complicated orbits, multi-stability and chaotic motion. On the other hand, it can suppress instabilities, stabilize unstable stationary or periodic states and may control complex chaotic dynamics. This thesis deals with both aspects, and presents novel fundamental results on the controllability of nonlinear dynamics by time-delayed feedback, as well as applications to lasers, hybrid-mechanical systems, and coupled neural systems.

Dynamics of Nonlinear Time-Delay Systems

Author : Muthusamy Lakshmanan
Publisher : Springer Science & Business Media
ISBN 13 : 3642149383
Total Pages : 322 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Dynamics of Nonlinear Time-Delay Systems by : Muthusamy Lakshmanan

Download or read book Dynamics of Nonlinear Time-Delay Systems written by Muthusamy Lakshmanan and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.

Delay-Coupled Complex Systems

Author : Valentin Flunkert
Publisher : Springer Science & Business Media
ISBN 13 : 3642202500
Total Pages : 181 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Delay-Coupled Complex Systems by : Valentin Flunkert

Download or read book Delay-Coupled Complex Systems written by Valentin Flunkert and published by Springer Science & Business Media. This book was released on 2011-06-25 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work addresses time-delay in complex nonlinear systems and, in particular, its applications in complex networks; its role in control theory and nonlinear optics are also investigated. Delays arise naturally in networks of coupled systems due to finite signal propagation speeds and are thus a key issue in many areas of physics, biology, medicine, and technology. Synchronization phenomena in these networks play an important role, e.g., in the context of learning, cognitive and pathological states in the brain, for secure communication with chaotic lasers or for gene regulation. The thesis includes both novel results on the control of complex dynamics by time-delayed feedback and fundamental new insights into the interplay of delay and synchronization. One of the most interesting results here is a solution to the problem of complete synchronization in general networks with large coupling delay, i.e., large distances between the nodes, by giving a universal classification of networks that has a wide range of interdisciplinary applications.

Nonlinear Control Under Nonconstant Delays

Author : Nikolaos Bekiaris-Liberis
Publisher : SIAM
ISBN 13 : 161197285X
Total Pages : 293 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Nonlinear Control Under Nonconstant Delays by : Nikolaos Bekiaris-Liberis

Download or read book Nonlinear Control Under Nonconstant Delays written by Nikolaos Bekiaris-Liberis and published by SIAM. This book was released on 2013-09-25 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book. The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept?with constant delays only on the input?all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees.

Variable Structure Control of Complex Systems

Author : Xing-Gang Yan
Publisher : Springer
ISBN 13 : 3319489623
Total Pages : 363 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Variable Structure Control of Complex Systems by : Xing-Gang Yan

Download or read book Variable Structure Control of Complex Systems written by Xing-Gang Yan and published by Springer. This book was released on 2016-12-05 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematizes recent research work on variable-structure control. It is self-contained, presenting necessary mathematical preliminaries so that the theoretical developments can be easily understood by a broad readership. The text begins with an introduction to the fundamental ideas of variable-structure control pertinent to their application in complex nonlinear systems. In the core of the book, the authors lay out an approach, suitable for a large class of systems, that deals with system uncertainties with nonlinear bounds. Its treatment of complex systems in which limited measurement information is available makes the results developed convenient to implement. Various case-study applications are described, from aerospace, through power systems to river pollution control with supporting simulations to aid the transition from mathematical theory to engineering practicalities. The book addresses systems with nonlinearities, time delays and interconnections and considers issues such as stabilization, observer design, and fault detection and isolation. It makes extensive use of numerical and practical examples to render its ideas more readily absorbed. Variable-Structure Control of Complex Systems will be of interest to academic researchers studying control theory and its application in nonlinear, time-delayed an modular large-scale systems; the robustness of its approach will also be attractive to control engineers working in industries associate with aerospace, electrical and mechanical engineering.

Iterative Learning Control for Nonlinear Time-Delay System

Author : Jianming Wei
Publisher : Springer Nature
ISBN 13 : 9811963177
Total Pages : 185 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Iterative Learning Control for Nonlinear Time-Delay System by : Jianming Wei

Download or read book Iterative Learning Control for Nonlinear Time-Delay System written by Jianming Wei and published by Springer Nature. This book was released on 2023-01-01 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on adaptive iterative learning control problem for nonlinear time-delay systems.A universal adaptive learning control scheme is provided for a wide classes of nonlinear systems with time-varying delay and input nonlinearity. Proceeding from easy to difficult, this book deals with the adaptive iterative learning control problems for parameterized nonlinear time-delay systems, non-parameterized nonlinear time-delay systems, nonlinear time-delay systems with unknown control direction and nonlinear time-delay systems with un-measurable states. The proposed control schemes can be extended to the adaptive learning control problem for wider classes of nonlinear systems revelent to abovementioned nonlinear systems.The topics presented in this book are research hot spots of iterative learning control. This book will be a valuable reference for researchers and students working or studying in this area.

Dynamic Systems with Time Delays: Stability and Control

Author : Ju H. Park
Publisher : Springer Nature
ISBN 13 : 9811392544
Total Pages : 335 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Dynamic Systems with Time Delays: Stability and Control by : Ju H. Park

Download or read book Dynamic Systems with Time Delays: Stability and Control written by Ju H. Park and published by Springer Nature. This book was released on 2019-08-29 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay systems in continuous and discrete time domain, and presents corresponding stability conditions for the nominal system and an applicable nonlinear system. Next, it investigates several control problems for dynamic systems with delays including H(infinity) control problem Event-triggered control problems; Dynamic output feedback control problems; Reliable sampled-data control problems. Finally, some application topics covering filtering, state estimation, and synchronization are considered. The book will be a valuable resource and guide for graduate students, scientists, and engineers in the system sciences and control communities.

Stability and Control of Nonlinear Time-varying Systems

Author : Shuli Guo
Publisher : Springer
ISBN 13 : 9811089086
Total Pages : 268 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Stability and Control of Nonlinear Time-varying Systems by : Shuli Guo

Download or read book Stability and Control of Nonlinear Time-varying Systems written by Shuli Guo and published by Springer. This book was released on 2018-04-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents special systems derived from industrial models, including the complex saturation nonlinear functions and the delay nonlinear functions. It also presents typical methods, such as the classical Liapunov and Integral Inequalities methods. Providing constructive qualitative and stability conditions for linear systems with saturated inputs in both global and local contexts, it offers practitioners more concise model systems for modern saturation nonlinear techniques, which have the potential for future applications. This book is a valuable guide for researchers and graduate students in the fields of mathematics, control, and engineering.

Nonlinear Time-Delay Systems

Author : Claudia Califano
Publisher : Springer Nature
ISBN 13 : 3030720268
Total Pages : 113 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Nonlinear Time-Delay Systems by : Claudia Califano

Download or read book Nonlinear Time-Delay Systems written by Claudia Califano and published by Springer Nature. This book was released on 2021-05-30 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief focuses on the structural properties of nonlinear time-delay systems. It provides a link between coverage of fundamental theoretical properties and advanced control algorithms, as well as suggesting a path for the generalization of the differential geometric approach to time-delay systems . The brief begins with an introduction to a class of single-input nonlinear time-delay systems. It then focuses on geometric methods treating them and offers a geometric framework for integrability. The book has chapters dedicated to the accessibility and observability of nonlinear time-delay systems, allowing readers to understand the systems in a well-ordered, structured way. Finally, the brief concludes with applications of integrability and the control of single-input time-delay systems. This brief employs exercises and examples to familiarize readers with the time-delay context. It is of interest to researchers, engineers and postgraduate students who work in the area of nonlinear control systems.

Robust Control for Nonlinear Time-Delay Systems

Author : Changchun Hua
Publisher : Springer
ISBN 13 : 9811051313
Total Pages : 301 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Robust Control for Nonlinear Time-Delay Systems by : Changchun Hua

Download or read book Robust Control for Nonlinear Time-Delay Systems written by Changchun Hua and published by Springer. This book was released on 2017-06-28 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on the latest findings concerning nonlinear control theory and applications. It presents novel work on several kinds of commonly encountered nonlinear time-delay systems, including those whose nonlinear terms satisfy high-order polynomial form or general nonlinear form, those with nonlinear input or a triangular structure, and so on. As such, the book will be of interest to university researchers, R&D engineers and graduate students in the fields of control theory and control engineering who wish to learn about the core principles, methods, algorithms, and applications of nonlinear time-delay systems.

Delay Compensation for Nonlinear, Adaptive, and PDE Systems

Author : Miroslav Krstic
Publisher : Springer Science & Business Media
ISBN 13 : 0817648771
Total Pages : 458 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Delay Compensation for Nonlinear, Adaptive, and PDE Systems by : Miroslav Krstic

Download or read book Delay Compensation for Nonlinear, Adaptive, and PDE Systems written by Miroslav Krstic and published by Springer Science & Business Media. This book was released on 2010-01-23 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems. It is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Replete with examples, Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference guide for graduate students, researchers, and professionals in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems.

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities

Author : Guoliang Wei
Publisher : CRC Press
ISBN 13 : 1498760759
Total Pages : 250 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities by : Guoliang Wei

Download or read book Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities written by Guoliang Wei and published by CRC Press. This book was released on 2016-09-15 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities presents a series of control and filtering approaches for stochastic systems with traditional and emerging engineering-oriented complexities. The book begins with an overview of the relevant background, motivation, and research problems, and then: Discusses the robust stability and stabilization problems for a class of stochastic time-delay interval systems with nonlinear disturbances Investigates the robust stabilization and H∞ control problems for a class of stochastic time-delay uncertain systems with Markovian switching and nonlinear disturbances Explores the H∞ state estimator and H∞ output feedback controller design issues for stochastic time-delay systems with nonlinear disturbances, sensor nonlinearities, and Markovian jumping parameters Analyzes the H∞ performance for a general class of nonlinear stochastic systems with time delays, where the addressed systems are described by general stochastic functional differential equations Studies the filtering problem for a class of discrete-time stochastic nonlinear time-delay systems with missing measurement and stochastic disturbances Uses gain-scheduling techniques to tackle the probability-dependent control and filtering problems for time-varying nonlinear systems with incomplete information Evaluates the filtering problem for a class of discrete-time stochastic nonlinear networked control systems with multiple random communication delays and random packet losses Examines the filtering problem for a class of nonlinear genetic regulatory networks with state-dependent stochastic disturbances and state delays Considers the H∞ state estimation problem for a class of discrete-time complex networks with probabilistic missing measurements and randomly occurring coupling delays Addresses the H∞ synchronization control problem for a class of dynamical networks with randomly varying nonlinearities Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities describes novel methodologies that can be applied extensively in lab simulations, field experiments, and real-world engineering practices. Thus, this text provides a valuable reference for researchers and professionals in the signal processing and control engineering communities.

Recent Results on Nonlinear Delay Control Systems

Author : Iasson Karafyllis
Publisher : Springer
ISBN 13 : 331918072X
Total Pages : 406 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Recent Results on Nonlinear Delay Control Systems by : Iasson Karafyllis

Download or read book Recent Results on Nonlinear Delay Control Systems written by Iasson Karafyllis and published by Springer. This book was released on 2015-07-15 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects recent advances in nonlinear delay systems, with an emphasis on constructive generalized Lyapunov and predictive approaches that certify stability properties. The book is written by experts in the field and includes two chapters by Miroslav Krstic, to whom this volume is dedicated. This volume is suitable for all researchers in mathematics and engineering who deal with nonlinear delay control problems and students who would like to understand the current state of the art in the control of nonlinear delay systems.

Partial Differential Equation Based Control of Nonlinear Systems With Input Delays

Author : Indrasis Chakraborty
Publisher :
ISBN 13 : 9780530004020
Total Pages : 110 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Partial Differential Equation Based Control of Nonlinear Systems With Input Delays by : Indrasis Chakraborty

Download or read book Partial Differential Equation Based Control of Nonlinear Systems With Input Delays written by Indrasis Chakraborty and published by . This book was released on 2019-05-31 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: Partial differential equation (PDE)-based control methods are developed for a class of uncertain nonlinear systems with bounded external disturbances and known/unknown time-varying input delay. Inspired by predictor-based delay compensators, a linear transformation is used to relate the control input to a spatially and time-varying function. The transformation allows the input to be expressed in a manner that separates the control into a delayed control and non-delayed control and also facilitates the ability to compensate for the time-varying aspect of the delay with less complex gain conditions than previous robust control approaches. Unlike previous predictor-based approaches, which inherently depend on the system dynamics, an auxiliary error function is introduced to facilitate a robust control structure that does not depend on known dynamics. The designed controller features gains to compensate for the delay and delay derivative independently and further robustness is achieved since the controller does not require exact model knowledge. In Chapter 2, a tracking controller is developed for a second order system with a known time-varying input delay. A novel Lyapunov-Krasovskii functional is used in the Lyapunov based stability analysis to prove uniform ultimate boundedness of the error signals. Chapter 3 and Chapter 4 focus on the development of a tracking controller for a generalized uncertain nonlinear systems with bounded external disturbances and unknown time-varying input delay. In Chapter 3, a nonlinear mapping is used to map the non-compact time domain to a compact spatial domain, and then a neural network (NN) is used to estimate the unknown time-varying input delay. In Chapter 4, an accelerated gradient descent (AGD) based optimization method is demonstrated to estimate the unknown time-varying delay magnitude. Application of input time-delay for flexible system is examined in Chapter 5. Specifically, an aircraft wing dynamics is considered. The NN based estimation scheme developed in Chapter 3 is combined with a boundary control method, to mitigate oscillations in the aircraft wing in Chapter 5. Dissertation Discovery Company and University of Florida are dedicated to making scholarly works more discoverable and accessible throughout the world. This dissertation, "Partial Differential Equation Based Control of Nonlinear Systems With Input Delays" by Indrasis Chakraborty, was obtained from University of Florida and is being sold with permission from the author. A digital copy of this work may also be found in the university's institutional repository, IR@UF. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation.

Predictive Learning Control for Unknown Nonaffine Nonlinear Systems

Author : Qiongxia Yu
Publisher : Springer Nature
ISBN 13 : 9811988579
Total Pages : 219 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Predictive Learning Control for Unknown Nonaffine Nonlinear Systems by : Qiongxia Yu

Download or read book Predictive Learning Control for Unknown Nonaffine Nonlinear Systems written by Qiongxia Yu and published by Springer Nature. This book was released on 2023-02-17 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates both theory and various applications of predictive learning control (PLC) which is an advanced technology for complex nonlinear systems. To avoid the difficult modeling problem for complex nonlinear systems, this book begins with the design and theoretical analysis of PLC method without using mechanism model information of the system, and then a series of PLC methods is designed that can cope with system constraints, varying trial lengths, unknown time delay, and available and unavailable system states sequentially. Applications of the PLC on both railway and urban road transportation systems are also studied. The book is intended for researchers, engineers, and graduate students who are interested in predictive control, learning control, intelligent transportation systems and related fields.

Time-delay Systems

Author : Magdi S. Mahmoud
Publisher :
ISBN 13 : 9781536130898
Total Pages : 259 pages
Book Rating : 4.1/5 (38 download)

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Book Synopsis Time-delay Systems by : Magdi S. Mahmoud

Download or read book Time-delay Systems written by Magdi S. Mahmoud and published by . This book was released on 2018 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-delay occurs in many physical, industrial and engineering systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactors, hydraulic systems and electrical networks, to name a few. The reason for the occurrence could be attributed to inherent physical phenomena like mass transport flow or recycling. It could result from the finite capabilities of information processing and data transmission among various parts of the system.In addition, they could be by-products of computational delays or could be intentionally introduced for some design consideration. Such delays could be constant or time varying, known or unknown, deterministic or stochastic depending on the system under consideration. In recent years, time-delay, which exists in networked control systems, has brought more complex problems into a new research area. Frequently, it is a source of the generation of oscillation, instability and poor performance.Therefore, the subject of Time-Delay Systems (TDS) has been investigated as functional differential equations over the past four decades. Because the presence of the delay factor renders the system analysis more complicated, the problems of stability and stabilization are of great importance.This book presents some basic theories of stability and stabilization of systems with time-delays. More attention is paid to the synthesis of systems with time-delay. That is, control of nonlinear systems with delay; networked control systems; positive delay systems; fuzzy systems; and reset control with random delay are all analyzed within this book. (Nova)

Delays and Interconnections: Methodology, Algorithms and Applications

Author : Giorgio Valmorbida
Publisher : Springer Nature
ISBN 13 : 3030115542
Total Pages : 315 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Delays and Interconnections: Methodology, Algorithms and Applications by : Giorgio Valmorbida

Download or read book Delays and Interconnections: Methodology, Algorithms and Applications written by Giorgio Valmorbida and published by Springer Nature. This book was released on 2019-10-02 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains advances on the theory and applications of time-delay systems with particular focus on interconnected systems. The methods for stability analysis and control design are based on time-domain and frequency-domain approaches, for continuous-time and sampled-data systems, linear and nonlinear systems. This volume is a valuable source of reference for control practitioners, graduate students, and scientists researching practical as well as theoretical solutions to a variety of control problems inevitably influenced by the presence of time delays. The contents are organized in three parts: Interconnected Systems analysis, Modeling and and Analysis for Delay systems, and Stabilization and Control Strategies for Delay Systems. This volume presents a selection of 19 contributions presented in the 4th DelSys Workshop which took place in Gif-sur-Yvette, France November 25-27, 2015.