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Analytic Curve Frequency Sweeping Stability Tests For Systems With Commensurate Delays


Analytic Curve Frequency Sweeping Stability Tests For Systems With Commensurate Delays
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Analytic Curve Frequency Sweeping Stability Tests For Systems With Commensurate Delays


Analytic Curve Frequency Sweeping Stability Tests For Systems With Commensurate Delays
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Author : Xu-Guang Li
language : en
Publisher: Springer
Release Date : 2015-04-08

Analytic Curve Frequency Sweeping Stability Tests For Systems With Commensurate Delays written by Xu-Guang Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-08 with Technology & Engineering categories.


In this brief the authors establish a new frequency-sweeping framework to solve the complete stability problem for time-delay systems with commensurate delays. The text describes an analytic curve perspective which allows a deeper understanding of spectral properties focusing on the asymptotic behavior of the characteristic roots located on the imaginary axis as well as on properties invariant with respect to the delay parameters. This asymptotic behavior is shown to be related by another novel concept, the dual Puiseux series which helps make frequency-sweeping curves useful in the study of general time-delay systems. The comparison of Puiseux and dual Puiseux series leads to three important results: an explicit function of the number of unstable roots simplifying analysis and design of time-delay systems so that to some degree they may be dealt with as finite-dimensional systems; categorization of all time-delay systems into three types according to their ultimate stability properties; and a simple frequency-sweeping criterion allowing asymptotic behavior analysis of critical imaginary roots for all positive critical delays by observation. Academic researchers and graduate students interested in time-delay systems and practitioners working in a variety of fields – engineering, economics and the life sciences involving transfer of materials, energy or information which are inherently non-instantaneous, will find the results presented here useful in tackling some of the complicated problems posed by delays.



Delays And Interconnections Methodology Algorithms And Applications


Delays And Interconnections Methodology Algorithms And Applications
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Author : Giorgio Valmorbida
language : en
Publisher: Springer Nature
Release Date : 2019-10-02

Delays And Interconnections Methodology Algorithms And Applications written by Giorgio Valmorbida and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-02 with Science categories.


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.



Controlling Delayed Dynamics


Controlling Delayed Dynamics
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Author : Dimitri Breda
language : en
Publisher: Springer Nature
Release Date : 2022-09-19

Controlling Delayed Dynamics written by Dimitri Breda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-19 with Science categories.


This book gathers contributions on analytical, numerical, and application aspects of time-delay systems, under the paradigm of control theory, and discusses recent advances in these different contexts, also highlighting the interdisciplinary connections. The book will serve as a useful tool for graduate students and researchers in the fields of dynamical systems, automatic control, numerical methods, and functional analysis.



Advances In Guidance Navigation And Control


Advances In Guidance Navigation And Control
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Author : Liang Yan
language : en
Publisher: Springer Nature
Release Date : 2023-02-10

Advances In Guidance Navigation And Control written by Liang Yan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-10 with Technology & Engineering categories.


This book features the latest theoretical results and techniques in the field of guidance, navigation, and control (GNC) of vehicles and aircrafts. It covers a wide range of topics, including but not limited to, intelligent computing communication and control; new methods of navigation, estimation and tracking; control of multiple moving objects; manned and autonomous unmanned systems; guidance, navigation and control of miniature aircraft; and sensor systems for guidance, navigation and control etc. Presenting recent advances in the form of illustrations, tables, and text, it also provides detailed information of a number of the studies, to offer readers insights for their own research. In addition, the book addresses fundamental concepts and studies in the development of GNC, making it a valuable resource for both beginners and researchers wanting to further their understanding of guidance, navigation, and control.



Analytic Curve Frequency Sweeping Stability Tests For Systems With Commensurate Delays


Analytic Curve Frequency Sweeping Stability Tests For Systems With Commensurate Delays
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Author : Xu-Guang Li
language : en
Publisher:
Release Date : 2015

Analytic Curve Frequency Sweeping Stability Tests For Systems With Commensurate Delays written by Xu-Guang Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.


In this brief the authors establish a new frequency-sweeping framework to solve the complete stability problem for time-delay systems with commensurate delays. The text describes an analytic curve perspective which allows a deeper understanding of spectral properties focusing on the asymptotic behavior of the characteristic roots located on the imaginary axis as well as on properties invariant with respect to the delay parameters. This asymptotic behavior is shown to be related by another novel concept, the dual Puiseux series which helps make frequency-sweeping curves useful in the study of general time-delay systems. The comparison of Puiseux and dual Puiseux series leads to three important results: an explicit function of the number of unstable roots simplifying analysis and design of time-delay systems so that to some degree they may be dealt with as finite-dimensional systems; categorization of all time-delay systems into three types according to their ultimate stability properties; and a simple frequency-sweeping criterion allowing asymptotic behavior analysis of critical imaginary roots for all positive critical delays by observation. Academic researchers and graduate students interested in time-delay systems and practitioners working in a variety of fields - engineering, economics and the life sciences involving transfer of materials, energy or information which are inherently non-instantaneous, will find the results presented here useful in tackling some of the complicated problems posed by delays.



Stability And Stabilization Of Time Delay Systems


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 Control And Computation For Time Delay Systems


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 Of 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.



Limits Of Stability And Stabilization Of Time Delay Systems


Limits Of Stability And Stabilization Of Time Delay Systems
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Author : Jing Zhu
language : en
Publisher: Springer
Release Date : 2018-02-05

Limits Of Stability And Stabilization Of Time Delay Systems written by Jing Zhu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-05 with Technology & Engineering categories.


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.



Siam Journal On Control And Optimization


Siam Journal On Control And Optimization
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Author : Society for Industrial and Applied Mathematics
language : en
Publisher:
Release Date : 2007

Siam Journal On Control And Optimization written by Society for Industrial and Applied Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Control theory categories.