Delay Effects On Stability
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Delay Effects On Stability
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Author : Silviu-Iulian Niculescu
language : en
Publisher: Springer
Release Date : 2003-07-01
Delay Effects On Stability written by Silviu-Iulian Niculescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Technology & Engineering categories.
This monograph is devoted to the effect of delays on the stability properties of dynamical systems. Stability regions with respect to the delay parameters are considered, and some sufficient characterizations are proposed. This monograph addresses general delay problems and offers solutions in some cases. In other cases, approximations of the stability regions can be proposed. The interpretation of delays as uncertainty allows the authors to use the advances in robust control and robust convex optimization to solve or to approximate the solutions of the corresponding problems.
Stability And Stabilization Of Time Delay Systems
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Author : Wim Michiels
language : en
Publisher: SIAM
Release Date : 2007-01-01
Stability And Stabilization Of Time Delay Systems written by Wim Michiels and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
An overall solution to the (robust) stability analysis and stabilisation problem of linear time-delay systems.
Stability Of Time Delay Systems
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Author : Keqin Gu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stability Of Time Delay Systems written by Keqin Gu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This monograph is a self-contained, coherent presentation of the background and progress of the stability of time-delay systems. Focusing on techniques, tools, and advances in numerical methods and optimization algorithms, the authors developed material which, up until now, has been scattered in technical journals and conference proceedings. Special emphasis is placed on systems with uncertainty and stability criteria which can be computationally implemented. The second edition is major update to reflect the state of art in this field greatly expanding on the original material in addition to two new chapters on Systems of Neutral Type and an Introduction to Frequency Domain Method. Requiring only basic knowledge of linear systems and Lyapunov stability theory, Stability of Time-Delay Systems, 2nd ed is accessible to a broad audience of researchers, professional engineers, and graduate students. It may be used for self-study or as a reference; portions of the text may be used in advanced graduate courses and seminars.
Stability Control And Computation For Time Delay Systems
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Author : Wim Michiels
language : en
Publisher: SIAM
Release Date : 2014-12-11
Stability Control And Computation For Time Delay Systems written by Wim Michiels and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-11 with Mathematics categories.
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 Control And Application Of Time Delay Systems
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Author : Qingbin Gao
language : en
Publisher: Butterworth-Heinemann
Release Date : 2019-06-27
Stability Control And Application Of Time Delay Systems written by Qingbin Gao and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-27 with Technology & Engineering categories.
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
Stability Of Vector Differential Delay Equations
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Author : Michael I. Gil’
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-14
Stability Of Vector Differential Delay Equations written by Michael I. Gil’ and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-14 with Mathematics categories.
Differential equations with delay naturally arise in various applications, such as control systems, viscoelasticity, mechanics, nuclear reactors, distributed networks, heat flows, neural networks, combustion, interaction of species, microbiology, learning models, epidemiology, physiology, and many others. This book systematically investigates the stability of linear as well as nonlinear vector differential equations with delay and equations with causal mappings. It presents explicit conditions for exponential, absolute and input-to-state stabilities. These stability conditions are mainly formulated in terms of the determinants and eigenvalues of auxiliary matrices dependent on a parameter; the suggested approach allows us to apply the well-known results of the theory of matrices. In addition, solution estimates for the considered equations are established which provide the bounds for regions of attraction of steady states. The main methodology presented in the book is based on a combined usage of the recent norm estimates for matrix-valued functions and the following methods and results: the generalized Bohl-Perron principle and the integral version of the generalized Bohl-Perron principle; the freezing method; the positivity of fundamental solutions. A significant part of the book is devoted to the Aizerman-Myshkis problem and generalized Hill theory of periodic systems. The book is intended not only for specialists in the theory of functional differential equations and control theory, but also for anyone with a sound mathematical background interested in their various applications.
Mastering Frequency Domain Techniques For The Stability Analysis Of Lti Time Delay Systems
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Author : Rifat Sipahi
language : en
Publisher: SIAM
Release Date : 2019-05-21
Mastering Frequency Domain Techniques For The Stability Analysis Of Lti Time Delay Systems written by Rifat Sipahi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-21 with Science categories.
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.
Delay Effects On Stability
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Author : Silviu-Iulian Niculescu
language : en
Publisher:
Release Date : 2001
Delay Effects On Stability written by Silviu-Iulian Niculescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Semi Discretization For Time Delay Systems
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Author : Tamás Insperger
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-15
Semi Discretization For Time Delay Systems written by Tamás Insperger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-15 with Mathematics categories.
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.
Stability And Controls Analysis For Delay Systems
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Author : Jinrong Wang
language : en
Publisher: Elsevier
Release Date : 2022-11-26
Stability And Controls Analysis For Delay Systems written by Jinrong Wang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-26 with Technology & Engineering categories.
Stability and Controls Analysis for Delay Systems is devoted to stability, controllability and iterative learning control (ILC) to delay systems, including first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from physics, biology, population dynamics, ecology and economics, currently not presented in other books on conventional fields. Delayed exponential matrix function approach is widely used to derive the representation and stability of the solutions and the controllability. ILC design are also established, which can be regarded as a way to find the control function. The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique. - Presents the representation and stability of solutions via the delayed exponential matrix function approach - Gives useful sufficient conditions to guarantee controllability - Establishes ILC design and focuses on new systems such as the first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from various subjects