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Impulsive Systems with Delays

Author : Xiaodi Li

Publisher : Springer Nature

Page : 449 pages

File Size : 29,57 MB

Release : 2021-10-15

Category : Technology & Engineering

ISBN : 9811646872

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Book Description

This book systematically presents the most recent progress in stability and control of impulsive systems with delays. Impulsive systems have recently attracted continued high research interests because they provide a natural framework for mathematical modeling of many real-world processes. It focuses not only on impulsive delayed systems, but also impulsive systems with delayed impulses and impulsive systems with event-triggered mechanism, including their Lyapunov stability, finite-time stability and input-to-state stability synthesis. Special attention is paid to the bilateral effects of the delayed impulses, where comprehensive stability properties are discussed in the framework of time-dependent and state-dependent delays. New original work with event-triggered impulsive control and its applications in multi-agent systems and collective dynamics are also provided. This book will be of use to specialists who are interested in the theory of impulsive differential equations and impulsive control theory, as well as high technology specialists who work in the fields of complex networks and applied mathematics. Also, instructors teaching graduate courses and graduate students will find this book a valuable source of nonlinear system theory.



Impulsive Differential Equations

Author : N Perestyuk

Publisher : World Scientific

Page : 474 pages

File Size : 37,27 MB

Release : 1995-08-31

Category : Science

ISBN : 981449982X

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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



Impulsive Systems on Hybrid Time Domains

Author : Xinzhi Liu

Publisher : Springer

Page : 320 pages

File Size : 42,12 MB

Release : 2019-01-29

Category : Mathematics

ISBN : 3030062120

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Book Description

This monograph discusses the issues of stability and the control of impulsive systems on hybrid time domains, with systems presented on discrete-time domains, continuous-time domains, and hybrid-time domains (time scales). Research on impulsive systems has recently attracted increased interest around the globe, and significant progress has been made in the theory and application of these systems. This book introduces recent developments in impulsive systems and fundamentals of various types of differential and difference equations. It also covers studies in stability related to time delays and other various control applications on the different impulsive systems. In addition to the analyses presented on dynamical systems that are with or without delays or impulses, this book concludes with possible future directions pertaining to this research.



Impulsivity

Author : Gregory Jude Madden

Publisher : Amer Psychological Assn

Page : 453 pages

File Size : 38,95 MB

Release : 2010

Category : Psychology

ISBN : 9781433804779

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Book Description

Impulsivity explores the basis for the seemingly universal tendency to devalue rewards or punishments that are not immediately available. When confronted with any number of modern impulsive behaviorssuch as drug use, pathological gambling, marital infidelity, and gluttonyindividuals have a choice with two outcomes: an immediate benefit, such as getting high, or a delayed or probabilistic benefit, such as health, money saved, or the satisfaction of a good life. This volume is an approachable, comprehensive overview of the behavioral science and neuroscience of these impulsive choices and their relation to delay discounting--the tendency to devalue temporally distant rewards or punishments, even though they may greatly outbalance the immediate benefit of our choices. The cutting-edge researchers who contributed to this volume have documented cross-species similarities in impulsive decision making and pioneered the neuroscience of impulsive choice. In this text they provide insights into harmless impulsive acts as well as those that dominate and destroy lives. The contributors tackle key issues such as whether impulsivity and risk taking are a trait or state; the neuroscience, neuroeconomics, and computational modeling of neural systems underlying impulsivity; and the relation between impulsivity and addictions, health decision making, altruism, and attention-deficit disorder. Theoretical debates regarding the origins of impulsivity round out this text, which will be of interest to researchers and graduate students in psychology, behavioral economics, psychopharmacology, behavioral analysis and therapy, and the science of decision making.



Advanced Control Systems

Author : Yuriy P. Kondratenko

Publisher : CRC Press

Page : 476 pages

File Size : 23,78 MB

Release : 2022-09-01

Category : Technology & Engineering

ISBN : 1000794067

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Book Description

Advanced Control Systems: Theory and Applications provides an overview of advanced research lines in control systems as well as in design, development and implementation methodologies for perspective control systems and their components in different areas of industrial and special applications. It consists of extended versions of the selected papers presented at the XXV International Conference on Automatic Control “Automatics 2018” (September 18-19, 2018, Lviv, Ukraine) which is the main Ukrainian Control Conference organized by Ukrainian Association on Automatic Control (National member organization of IFAC) and Lviv National University “Lvivska Politechnica”. More than 100 papers were presented at the conference with topics including: mathematical problems of control, optimization and game theory; control and identification under uncertainty; automated control of technical, technological and biotechnical objects; controlling the aerospace craft, marine vessels and other moving objects; intelligent control and information processing; mechatronics and robotics; information measuring technologies in automation; automation and IT training of personnel; the Internet of things and the latest technologies. The book is divided into two main parts, the first concerning theory (7 chapters) and the second concerning applications (7 chapters) of advanced control systems. The first part “Advances in Theoretical Research on Automatic Control” consists of theoretical research results which deal with descriptor control impulsive delay systems, motion control in condition of conflict, inverse dynamic models, invariant relations in optimal control, robust adaptive control, bio-inspired algorithms, optimization of fuzzy control systems, and extremal routing problem with constraints and complicated cost functions. The second part “Advances in Control Systems Applications” is based on the chapters which consider different aspects of practical implementation of advanced control systems, in particular, special cases in determining the spacecraft position and attitude using computer vision system, the spacecraft orientation by information from a system of stellar sensors, control synthesis of rotational and spatial spacecraft motion at approaching stage of docking, intelligent algorithms for the automation of complex biotechnical objects, an automatic control system for the slow pyrolysis of organic substances with variable composition, simulation complex of hierarchical systems based on the foresight and cognitive modelling, and advanced identification of impulse processes in cognitive maps. The chapters have been structured to provide an easy-to-follow introduction to the topics that are addressed, including the most relevant references, so that anyone interested in this field can get started in the area. This book may be useful for researchers and students who are interesting in advanced control systems.



Theory Of Impulsive Differential Equations

Author : Vangipuram Lakshmikantham

Publisher : World Scientific

Page : 287 pages

File Size : 16,56 MB

Release : 1989-05-01

Category : Mathematics

ISBN : 9814507261

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Book Description

Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.



Impulsive and Hybrid Dynamical Systems

Author : Wassim M. Haddad

Publisher : Princeton University Press

Page : 522 pages

File Size : 49,72 MB

Release : 2014-09-08

Category : Mathematics

ISBN : 1400865247

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Book Description

This book develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. Such a framework is imperative for modern complex engineering systems that involve interacting continuous-time and discrete-time dynamics with multiple modes of operation that place stringent demands on controller design and require implementation of increasing complexity--whether advanced high-performance tactical fighter aircraft and space vehicles, variable-cycle gas turbine engines, or air and ground transportation systems. Impulsive and Hybrid Dynamical Systems goes beyond similar treatments by developing invariant set stability theorems, partial stability, Lagrange stability, boundedness, ultimate boundedness, dissipativity theory, vector dissipativity theory, energy-based hybrid control, optimal control, disturbance rejection control, and robust control for nonlinear impulsive and hybrid dynamical systems. A major contribution to mathematical system theory and control system theory, this book is written from a system-theoretic point of view with the highest standards of exposition and rigor. It is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists who seek a fundamental understanding of the rich dynamical behavior of impulsive and hybrid dynamical systems.



Introduction to Time-Delay Systems

Author : Emilia Fridman

Publisher : Springer

Page : 381 pages

File Size : 14,89 MB

Release : 2014-09-02

Category : Science

ISBN : 3319093932

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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.



Impulsive Differential Equations

Author : Drumi Bainov

Publisher : Routledge

Page : 238 pages

File Size : 21,95 MB

Release : 2017-11-01

Category : Mathematics

ISBN : 1351439103

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Book Description

Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important problems in this field.



Stability of Time-Delay Systems

Author : Keqin Gu

Publisher : Springer Science & Business Media

Page : 367 pages

File Size : 30,75 MB

Release : 2012-12-06

Category : Technology & Engineering

ISBN : 1461200393

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Book Description

This book is a self-contained presentation of the background and progress of the study of time-delay systems, a subject with broad applications to a number of areas.