Impulsive And Hybrid Dynamical Systems

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Impulsive and Hybrid Dynamical Systems

Wassim M. Haddad,VijaySekhar Chellaboina,Sergey G. Nersesov
Impulsive and Hybrid Dynamical Systems Book PDF

Author : Wassim M. Haddad,VijaySekhar Chellaboina,Sergey G. Nersesov
Publisher : Princeton University Press
Page : 522 pages
File Size : 43,6 Mb
Release : 2014-09-08
Category : Mathematics
ISBN : 9781400865246

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Impulsive and Hybrid Dynamical Systems by Wassim M. Haddad,VijaySekhar Chellaboina,Sergey G. Nersesov Pdf

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.

Impulsive Systems on Hybrid Time Domains

Xinzhi Liu,Kexue Zhang
Impulsive Systems on Hybrid Time Domains Book PDF

Author : Xinzhi Liu,Kexue Zhang
Publisher : Springer
Page : 321 pages
File Size : 53,8 Mb
Release : 2019-01-29
Category : Mathematics
ISBN : 9783030062125

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Impulsive Systems on Hybrid Time Domains by Xinzhi Liu,Kexue Zhang Pdf

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.

Information Computing and Applications

Rongbo Zhu,Yanchun Zhang,Baoxiang Liu,Chunfeng Liu
Information Computing and Applications Book PDF

Author : Rongbo Zhu,Yanchun Zhang,Baoxiang Liu,Chunfeng Liu
Publisher : Springer Science & Business Media
Page : 624 pages
File Size : 53,7 Mb
Release : 2010-09-27
Category : Computers
ISBN : 9783642161667

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Information Computing and Applications by Rongbo Zhu,Yanchun Zhang,Baoxiang Liu,Chunfeng Liu Pdf

This book constitutes the refereed proceedings of the First International Conference on Information Computing and Applications, ICICA 2010, held in Tangshan, China, in October 2010. The 76 papers are organized in topical sections on parallel and distributed computing; trusted and pervasive computing; internet and web computing; multimedia networking and computing; evolutionary computing and applications; scientific and engineering computing; and intelligent computing and applications.

Nonsmooth Mechanics

Bernard Brogliato
Nonsmooth Mechanics Book PDF

Author : Bernard Brogliato
Publisher : Springer Science & Business Media
Page : 565 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447105572

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Nonsmooth Mechanics by Bernard Brogliato Pdf

Thank you for opening the second edition of this monograph, which is devoted to the study of a class of nonsmooth dynamical systems of the general form: ::i; = g(x,u) (0. 1) f(x, t) 2: 0 where x E JRn is the system's state vector, u E JRm is the vector of inputs, and the function f (-, . ) represents a unilateral constraint that is imposed on the state. More precisely, we shall restrict ourselves to a subclass of such systems, namely mechanical systems subject to unilateral constraints on the position, whose dynamical equations may be in a first instance written as: ii= g(q,q,u) (0. 2) f(q, t) 2: 0 where q E JRn is the vector of generalized coordinates of the system and u is an in put (or controller) that generally involves a state feedback loop, i. e. u= u(q, q, t, z), with z= Z(z, q, q, t) when the controller is a dynamic state feedback. Mechanical systems composed of rigid bodies interacting fall into this subclass. A general prop erty of systems as in (0. 1) and (0. 2) is that their solutions are nonsmooth (with respect to time): Nonsmoothness arises primarily from the occurence of impacts (or collisions, or percussions) in the dynamical behaviour, when the trajectories attain the surface f(x, t) = O. They are necessary to keep the trajectories within the subspace = {x : f(x, t) 2: O} of the system's state space.

An Introduction to Hybrid Dynamical Systems

Arjan J. van der Schaft,Hans Schumacher
An Introduction to Hybrid Dynamical Systems Book PDF

Author : Arjan J. van der Schaft,Hans Schumacher
Publisher : Springer
Page : 189 pages
File Size : 40,6 Mb
Release : 2007-10-03
Category : Technology & Engineering
ISBN : 9781846285424

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An Introduction to Hybrid Dynamical Systems by Arjan J. van der Schaft,Hans Schumacher Pdf

This book is about dynamical systems that are "hybrid" in the sense that they contain both continuous and discrete state variables. Recently there has been increased research interest in the study of the interaction between discrete and continuous dynamics. The present volume provides a first attempt in book form to bring together concepts and methods dealing with hybrid systems from various areas, and to look at these from a unified perspective. The authors have chosen a mode of exposition that is largely based on illustrative examples rather than on the abstract theorem-proof format because the systematic study of hybrid systems is still in its infancy. The examples are taken from many different application areas, ranging from power converters to communication protocols and from chaos to mathematical finance. Subjects covered include the following: definition of hybrid systems; description formats; existence and uniqueness of solutions; special subclasses (variable-structure systems, complementarity systems); reachability and verification; stability and stabilizability; control design methods. The book will be of interest to scientists from a wide range of disciplines including: computer science, control theory, dynamical system theory, systems modeling and simulation, and operations research.

Hybrid Dynamical Systems

Hai Lin,Panos J. Antsaklis
Hybrid Dynamical Systems Book PDF

Author : Hai Lin,Panos J. Antsaklis
Publisher : Springer Nature
Page : 455 pages
File Size : 44,5 Mb
Release : 2021-11-18
Category : Technology & Engineering
ISBN : 9783030787318

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Hybrid Dynamical Systems by Hai Lin,Panos J. Antsaklis Pdf

A graduate-level textbook, Hybrid Dynamical Systems provides an accessible and comprehensive introduction to the theory of hybrid systems. It emphasizes results that are central to a good understanding of the importance and role of such systems. The authors have developed the materials in this book while teaching courses on hybrid systems, cyber-physical systems, and formal methods. This textbook helps students to become familiar with both the major approaches coloring the study of hybrid dynamical systems. The computer science and control systems points of view – emphasizing discrete dynamics and real time, and continuous dynamics with switching, respectively – are each covered in detail. The book shows how the behavior of a system with tightly coupled cyber- (discrete) and physical (continuous) elements can best be understood by a model simultaneously encompassing all the dynamics and their interconnections. The theory presented is of fundamental importance in a wide range of emerging fields from next-generation transportation systems to smart manufacturing.Features of the text include: extensive use of examples to illustrate the main concepts and to provide insights additional to those acquired from the main text; chapter summaries enabling students to assess their progress; end-of-chapter exercises, which test learning as a course proceeds; an instructor’s guide showing how different parts of the book can be exploited for different course requirements; and a solutions manual, freely available for download by instructors adopting the book for their teaching. Access to MATLAB and Stateflow is not required but would be beneficial, especially for exercises in which simulations are a key tool.

Hybrid Dynamical Systems

Rafal Goebel,Ricardo G. Sanfelice,Andrew R. Teel
Hybrid Dynamical Systems Book PDF

Author : Rafal Goebel,Ricardo G. Sanfelice,Andrew R. Teel
Publisher : Princeton University Press
Page : 227 pages
File Size : 53,8 Mb
Release : 2012-03-18
Category : Mathematics
ISBN : 9781400842636

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Hybrid Dynamical Systems by Rafal Goebel,Ricardo G. Sanfelice,Andrew R. Teel Pdf

Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. It presents hybrid system versions of the necessary and sufficient Lyapunov conditions for asymptotic stability, invariance principles, and approximation techniques, and examines the robustness of asymptotic stability, motivated by the goal of designing robust hybrid control algorithms. This self-contained and classroom-tested book requires standard background in mathematical analysis and differential equations or nonlinear systems. It will interest graduate students in engineering as well as students and researchers in control, computer science, and mathematics.

Hybrid Dynamical Systems

Rafal Goebel,Ricardo G. Sanfelice,Andrew R. Teel
Hybrid Dynamical Systems Book PDF

Author : Rafal Goebel,Ricardo G. Sanfelice,Andrew R. Teel
Publisher : Princeton University Press
Page : 226 pages
File Size : 40,8 Mb
Release : 2012-03-18
Category : Mathematics
ISBN : 9780691153896

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Hybrid Dynamical Systems by Rafal Goebel,Ricardo G. Sanfelice,Andrew R. Teel Pdf

Filled with a wealth of examples to illustrate concepts, this title presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms - algorithms that feature logic, timers, or combinations of digital and analog components.

Impulsive Systems with Delays

Xiaodi Li,Shiji Song
Impulsive Systems with Delays Book PDF

Author : Xiaodi Li,Shiji Song
Publisher : Springer Nature
Page : 449 pages
File Size : 50,9 Mb
Release : 2021-10-15
Category : Technology & Engineering
ISBN : 9789811646874

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Impulsive Systems with Delays by Xiaodi Li,Shiji Song Pdf

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.

Stability and Control of Large-Scale Dynamical Systems

Wassim M. Haddad,Sergey G. Nersesov
Stability and Control of Large Scale Dynamical Systems Book PDF

Author : Wassim M. Haddad,Sergey G. Nersesov
Publisher : Princeton University Press
Page : 389 pages
File Size : 50,7 Mb
Release : 2011-11-14
Category : Mathematics
ISBN : 9781400842667

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Stability and Control of Large-Scale Dynamical Systems by Wassim M. Haddad,Sergey G. Nersesov Pdf

Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures. Large-scale dynamical systems are strongly interconnected and consist of interacting subsystems exchanging matter, energy, or information with the environment. The sheer size, or dimensionality, of these systems necessitates decentralized analysis and control system synthesis methods for their analysis and design. Written in a theorem-proof format with examples to illustrate new concepts, this book addresses continuous-time, discrete-time, and hybrid large-scale systems. It develops finite-time stability and finite-time decentralized stabilization, thermodynamic modeling, maximum entropy control, and energy-based decentralized control. This book will interest applied mathematicians, dynamical systems theorists, control theorists, and engineers, and anyone seeking a fundamental and comprehensive understanding of large-scale interconnected dynamical systems and control.

Hybrid Dynamical Systems

Mohamed Djemai,Michael Defoort
Hybrid Dynamical Systems Book PDF

Author : Mohamed Djemai,Michael Defoort
Publisher : Springer
Page : 0 pages
File Size : 53,7 Mb
Release : 2014-11-03
Category : Technology & Engineering
ISBN : 3319107941

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Hybrid Dynamical Systems by Mohamed Djemai,Michael Defoort Pdf

This book is a collection of contributions defining the state of current knowledge and new trends in hybrid systems – systems involving both continuous dynamics and discrete events – as described by the work of several well-known groups of researchers. Hybrid Dynamical Systems presents theoretical advances in such areas as diagnosability, observability and stabilization for various classes of system. Continuous and discrete state estimation and self-triggering control of nonlinear systems are advanced. The text employs various methods, among them, high-order sliding modes, Takagi–Sugeno representation and sampled-data switching to achieve its ends. The many applications of hybrid systems from power converters to computer science are not forgotten; studies of flexible-joint robotic arms and – as representative biological systems – the behaviour of the human heart and vasculature, demonstrate the wide-ranging practical significance of control in hybrid systems. The cross-disciplinary origins of study in hybrid systems are evident. Academic researchers and graduate students interested in hybrid and switched systems need look no further than Hybrid Dynamical Systems for a single source which will bring them up to date with work in this area from around the world.

A Dynamical Systems Theory of Thermodynamics

Wassim M. Haddad
A Dynamical Systems Theory of Thermodynamics Book PDF

Author : Wassim M. Haddad
Publisher : Princeton University Press
Page : 744 pages
File Size : 42,5 Mb
Release : 2019-06-04
Category : Science
ISBN : 9780691192598

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A Dynamical Systems Theory of Thermodynamics by Wassim M. Haddad Pdf

A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.

Switched and Impulsive Systems

Zhengguo Li,Yengchai Soh,Changyun Wen
Switched and Impulsive Systems Book PDF

Author : Zhengguo Li,Yengchai Soh,Changyun Wen
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 48,8 Mb
Release : 2005-02-16
Category : Technology & Engineering
ISBN : 3540239529

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Switched and Impulsive Systems by Zhengguo Li,Yengchai Soh,Changyun Wen Pdf

In this volume the important concept of switched and impulsive control is discussed, with a wide field of applications in the analysis and control of complex systems. This monograph provides the reader with a comprehensive coverage of switched and impulsive systems, including new original work with various applications such as switched server systems, scalable video coding systems, chaotic based secure communication, or quality of service on the internet. Switched and Impulsive Systems can be used as a reference or a text for a course at graduate level.

Impulsive Control Theory

Tao Yang
Impulsive Control Theory Book PDF

Author : Tao Yang
Publisher : Springer
Page : 348 pages
File Size : 40,9 Mb
Release : 2003-07-01
Category : Technology & Engineering
ISBN : 9783540477105

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Impulsive Control Theory by Tao Yang Pdf

The concept of impulsive control and its mathematical foundation called - pulsive di?erential equations,or di?erential equations with impulse e?ects,or di?erential equations with discontinuous righthand sides have a long history. In fact, in mechanical systems impulsive phenomena had been studied for a long time under di?erent names such as: mechanical systems with impacts. The study of impulsive control systems (control systems with impulse e?ects) has also a long history that can be traced back to the beginning of modern control theory. Many impulsive control methods were successfully developed under the framework of optimal control and were occasionally called impulse control. The so called impulse control is not exactly the impulsive control as will be de?ned in this book. The reader should not mixup these two kinds of control methods though in many papers they were treated as the same. - cently, there is a tendency of integrating impulsive control into hybrid control systems. However, this e?ort does not have much help to the development of impulsive control theory because impulsive systems can only be studied by the very mathematical tool based on impulsive di?erential equations. The e?ort to invent a very general framework of hybrid control system for stu- ing impulsive control and other hybrid control problems will contribute no essential knowledge to impulsive control.

Hybrid Dynamical Systems

Mohamed Djemai,Michael Defoort
Hybrid Dynamical Systems Book PDF

Author : Mohamed Djemai,Michael Defoort
Publisher : Springer
Page : 332 pages
File Size : 53,8 Mb
Release : 2014-10-13
Category : Technology & Engineering
ISBN : 9783319107950

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Hybrid Dynamical Systems by Mohamed Djemai,Michael Defoort Pdf

This book is a collection of contributions defining the state of current knowledge and new trends in hybrid systems – systems involving both continuous dynamics and discrete events – as described by the work of several well-known groups of researchers. Hybrid Dynamical Systems presents theoretical advances in such areas as diagnosability, observability and stabilization for various classes of system. Continuous and discrete state estimation and self-triggering control of nonlinear systems are advanced. The text employs various methods, among them, high-order sliding modes, Takagi–Sugeno representation and sampled-data switching to achieve its ends. The many applications of hybrid systems from power converters to computer science are not forgotten; studies of flexible-joint robotic arms and – as representative biological systems – the behaviour of the human heart and vasculature, demonstrate the wide-ranging practical significance of control in hybrid systems. The cross-disciplinary origins of study in hybrid systems are evident. Academic researchers and graduate students interested in hybrid and switched systems need look no further than Hybrid Dynamical Systems for a single source which will bring them up to date with work in this area from around the world.