Deterministic And Stochastic Time Delay Systems

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Deterministic and Stochastic Time-Delay Systems

Author : El-Kebir Boukas
Publisher : Springer Science & Business Media
ISBN 13 : 1461200776
Total Pages : 429 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Deterministic and Stochastic Time-Delay Systems by : El-Kebir Boukas

Download or read book Deterministic and Stochastic Time-Delay Systems written by El-Kebir Boukas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Deterministic and Stochastic Time Delay Systems

Author : El-Kébir Boukas
Publisher :
ISBN 13 : 9783764342456
Total Pages : 423 pages
Book Rating : 4.3/5 (424 download)

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Book Synopsis Deterministic and Stochastic Time Delay Systems by : El-Kébir Boukas

Download or read book Deterministic and Stochastic Time Delay Systems written by El-Kébir Boukas and published by . This book was released on 2002 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Time-Delay Systems

Author : Magdi S. Mahmoud
Publisher :
ISBN 13 : 9781536130881
Total Pages : 0 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 0 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 analysed within this book.

Complex Time-Delay Systems

Author : Fatihcan M. Atay
Publisher : Springer
ISBN 13 : 3642023290
Total Pages : 336 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Complex Time-Delay Systems by : Fatihcan M. Atay

Download or read book Complex Time-Delay Systems written by Fatihcan M. Atay and published by Springer. This book was released on 2010-03-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major contemporary challenges in both physical and social sciences is modeling, analyzing, and understanding the self-organization, evolution, behavior, and eventual decay of complex dynamical systems ranging from cell assemblies to the human brain to animal societies. The multi-faceted problems in this domain require a wide range of methods from various scienti?c disciplines. There is no question that the inclusion of time delays in complex system models considerably enriches the challenges presented by the problems. Although this inclusion often becomes inevitable as real-world applications demand more and more realistic m- els, the role of time delays in the context of complex systems so far has not attracted the interest it deserves. The present volume is an attempt toward ?lling this gap. There exist various useful tools for the study of complex time-delay systems. At the forefront is the mathematical theory of delay equations, a relatively mature ?eld in many aspects, which provides some powerful techniques for analytical inquiries, along with some other tools from statistical physics, graph theory, computer science, dynamical systems theory, probability theory, simulation and optimization software, and so on. Nevertheless, the use of these methods requires a certain synergy to address complex systems problems, especially in the presence of time delays.

Methodologies for Control of Jump Time-Delay Systems

Author : Magdi S. Mahmoud
Publisher : Springer Science & Business Media
ISBN 13 : 1402074891
Total Pages : 462 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Methodologies for Control of Jump Time-Delay Systems by : Magdi S. Mahmoud

Download or read book Methodologies for Control of Jump Time-Delay Systems written by Magdi S. Mahmoud and published by Springer Science & Business Media. This book was released on 2003-07-31 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about time-domain modelling, stability, stabilization, control design and filtering for JTDS. It gives readers a thorough understanding of the basic mathematical analysis and fundamentals, offers a straightforward treatment of the different topics and provides broad coverage of the recent methodologies.

Stability, Control, and Computation for Time-Delay Systems

Author : Wim Michiels
Publisher : SIAM
ISBN 13 : 1611973627
Total Pages : 443 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Stability, Control, and Computation for Time-Delay Systems by : Wim Michiels

Download or read book Stability, Control, and Computation for Time-Delay Systems written by Wim Michiels and published by SIAM. This book was released on 2014-12-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.?

Application of Singular Perturbation to Deterministic and Stochastic Systems with and Without Time Delay

Author : Kapriel Varujan Krikorian
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (641 download)

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Book Synopsis Application of Singular Perturbation to Deterministic and Stochastic Systems with and Without Time Delay by : Kapriel Varujan Krikorian

Download or read book Application of Singular Perturbation to Deterministic and Stochastic Systems with and Without Time Delay written by Kapriel Varujan Krikorian and published by . This book was released on 1978 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Parameter-Varying and Time-Delay Systems

Author : Corentin Briat
Publisher : Springer
ISBN 13 : 3662440504
Total Pages : 412 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Linear Parameter-Varying and Time-Delay Systems by : Corentin Briat

Download or read book Linear Parameter-Varying and Time-Delay Systems written by Corentin Briat and published by Springer. This book was released on 2014-09-03 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory of Hybrid Systems: Deterministic and Stochastic

Author : Mohamad S. Alwan
Publisher : Springer
ISBN 13 : 9811080461
Total Pages : 252 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Theory of Hybrid Systems: Deterministic and Stochastic by : Mohamad S. Alwan

Download or read book Theory of Hybrid Systems: Deterministic and Stochastic written by Mohamad S. Alwan and published by Springer. This book was released on 2018-10-04 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin–Lyapunov methods to investigate the systems’ properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems.

Stochastic Switching Systems

Author : El-Kébir Boukas
Publisher : Springer Science & Business Media
ISBN 13 : 0817644520
Total Pages : 413 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Stochastic Switching Systems by : El-Kébir Boukas

Download or read book Stochastic Switching Systems written by El-Kébir Boukas and published by Springer Science & Business Media. This book was released on 2007-05-24 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory chapter highlights basics concepts and practical models, which are then used to solve more advanced problems throughout the book. Included are many numerical examples and LMI synthesis methods and design approaches.

Stability Analysis of Markovian Jump Systems

Author : Yu Kang
Publisher : Springer
ISBN 13 : 9811038600
Total Pages : 202 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Stability Analysis of Markovian Jump Systems by : Yu Kang

Download or read book Stability Analysis of Markovian Jump Systems written by Yu Kang and published by Springer. This book was released on 2017-09-08 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the stability analysis of Markovian jump systems (MJSs) with various settings and discusses its applications in several different areas. It also presents general definitions of the necessary concepts and an overview of the recent developments in MJSs. Further, it addresses the general robust problem of Markovian jump linear systems (MJLSs), the asynchronous stability of a class of nonlinear systems, the robust adaptive control scheme for a class of nonlinear uncertain MJSs, the practical stability of MJSs and its applications as a modelling tool for networked control systems, Markovian-based control for wheeled mobile manipulators and the jump-linear-quadratic (JLQ) problem of a class of continuous-time MJLSs. It is a valuable resource for researchers and graduate students in the field of control theory and engineering.

New Trends in Optimal Filtering and Control for Polynomial and Time-Delay Systems

Author : Michael Basin
Publisher : Springer
ISBN 13 : 3540708030
Total Pages : 228 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis New Trends in Optimal Filtering and Control for Polynomial and Time-Delay Systems by : Michael Basin

Download or read book New Trends in Optimal Filtering and Control for Polynomial and Time-Delay Systems written by Michael Basin and published by Springer. This book was released on 2008-09-18 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 0. 1 Introduction Although the general optimal solution of the ?ltering problem for nonlinear state and observation equations confused with white Gaussian noises is given by the Kushner equation for the conditional density of an unobserved state with respect to obser- tions (see [48] or [41], Theorem 6. 5, formula (6. 79) or [70], Subsection 5. 10. 5, formula (5. 10. 23)), there are a very few known examples of nonlinear systems where the Ku- ner equation can be reduced to a ?nite-dimensional closed system of ?ltering eq- tions for a certain number of lower conditional moments. The most famous result, the Kalman-Bucy ?lter [42], is related to the case of linear state and observation equations, where only two moments, the estimate itself and its variance, form a closed system of ?ltering equations. However, the optimal nonlinear ?nite-dimensional ?lter can be - tained in some other cases, if, for example, the state vector can take only a ?nite number of admissible states [91] or if the observation equation is linear and the drift term in the 2 2 state equation satis?es the Riccati equation df /dx + f = x (see [15]). The complete classi?cation of the “general situation” cases (this means that there are no special - sumptions on the structure of state and observation equations and the initial conditions), where the optimal nonlinear ?nite-dimensional ?lter exists, is given in [95].

Advances in H∞ Control Theory

Author : Eli Gershon
Publisher : Springer
ISBN 13 : 3030160084
Total Pages : 310 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Advances in H∞ Control Theory by : Eli Gershon

Download or read book Advances in H∞ Control Theory written by Eli Gershon and published by Springer. This book was released on 2019-05-29 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in H∞ Control Theory is concerned with state-of-the-art developments in three areas: the extended treatment of mostly deterministic switched systems with dwell-time; the control of retarded stochastic state-multiplicative noisy systems; and a new approach to the control of biochemical systems, exemplified by the threonine synthesis and glycolytic pathways. Following an introduction and extensive literature survey, each of these major topics is the subject of an individual part of the book. The first two parts of the book contain several practical examples taken from various fields of control engineering including aircraft control, robot manipulation and process control. These examples are taken from the fields of deterministic switched systems and state-multiplicative noisy systems. The text is rounded out with short appendices covering mathematical fundamentals: σ-algebra and the input-output method for retarded systems. Advances in H∞ Control Theory is written for engineers engaged in control systems research and development, for applied mathematicians interested in systems and control and for graduate students specializing in stochastic control.

Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems

Author : Rifat Sipahi
Publisher : SIAM
ISBN 13 : 1611975719
Total Pages : 191 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems by : Rifat Sipahi

Download or read book Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems written by Rifat Sipahi and published by SIAM. This book was released on 2019-05-21 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many dynamical systems, time delays arise because of the time it takes to measure system states, perceive and evaluate events, formulate decisions, and act on those decisions. The presence of delays may lead to undesirable outcomes; without an engineered design, the dynamics may underperform, oscillate, and even become unstable. How to study the stability of dynamical systems influenced by time delays is a fundamental question. Related issues include how much time delay the system can withstand without becoming unstable and how to change system parameters to render improved dynamic characteristics, utilize or tune the delay itself to improve dynamical behavior, and assess the stability and speed of response of the dynamics. Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems addresses these questions for linear time-invariant (LTI) systems with an eigenvalue-based approach built upon frequency domain techniques. Readers will find key results from the literature, including all subtopics for those interested in deeper exploration. The book presents step-by-step demonstrations of all implementations?including those that require special care in mathematics and numerical implementation?from the simpler, more intuitive ones in the introductory chapters to the more complex ones found in the later chapters. Maple and MATLAB code is available from the author?s website. This multipurpose book is intended for graduate students, instructors, and researchers working in control engineering, robotics, mechatronics, network control systems, human-in-the-loop systems, human-machine systems, remote control and tele-operation, transportation systems, energy systems, and process control, as well as for those working in applied mathematics, systems biology, and physics. It can be used as a primary text in courses on stability and control of time delay systems and as a supplementary text in courses in the above listed domains.

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering

Author : Lixian Zhang
Publisher : Springer
ISBN 13 : 3319288504
Total Pages : 268 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering by : Lixian Zhang

Download or read book Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering written by Lixian Zhang and published by Springer. This book was released on 2016-01-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.

Discrete-Time Neural Observers

Author : Alma Y Alanis
Publisher : Academic Press
ISBN 13 : 0128105445
Total Pages : 152 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Discrete-Time Neural Observers by : Alma Y Alanis

Download or read book Discrete-Time Neural Observers written by Alma Y Alanis and published by Academic Press. This book was released on 2017-02-06 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-Time Neural Observers: Analysis and Applications presents recent advances in the theory of neural state estimation for discrete-time unknown nonlinear systems with multiple inputs and outputs. The book includes rigorous mathematical analyses, based on the Lyapunov approach, that guarantee their properties. In addition, for each chapter, simulation results are included to verify the successful performance of the corresponding proposed schemes. In order to complete the treatment of these schemes, the authors also present simulation and experimental results related to their application in meaningful areas, such as electric three phase induction motors and anaerobic process, which show the applicability of such designs. The proposed schemes can be employed for different applications beyond those presented. The book presents solutions for the state estimation problem of unknown nonlinear systems based on two schemes. For the first one, a full state estimation problem is considered; the second one considers the reduced order case with, and without, the presence of unknown delays. Both schemes are developed in discrete-time using recurrent high order neural networks in order to design the neural observers, and the online training of the respective neural networks is performed by Kalman Filtering. Presents online learning for Recurrent High Order Neural Networks (RHONN) using the Extended Kalman Filter (EKF) algorithm Contains full and reduced order neural observers for discrete-time unknown nonlinear systems, with and without delays Includes rigorous analyses of the proposed schemes, including the nonlinear system, the respective observer, and the Kalman filter learning Covers real-time implementation and simulation results for all the proposed schemes to meaningful applications

Control of Singular Systems with Random Abrupt Changes

Author : El-Kébir Boukas
Publisher : Springer Science & Business Media
ISBN 13 : 3540743456
Total Pages : 268 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Control of Singular Systems with Random Abrupt Changes by : El-Kébir Boukas

Download or read book Control of Singular Systems with Random Abrupt Changes written by El-Kébir Boukas and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. Various problems and their robustness are tackled. The book examines both the theoretical and practical aspects of the control problems from the angle of the structural properties of linear systems. It can be used as a textbook as well as a reference for researchers in control or mathematics with interest in control theory.