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Author | : Alexey S. Matveev |
Publisher | : Springer Science & Business Media |
Total Pages | : 354 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461213649 |
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The emerging area of hybrid dynamical systems lies at the interface of control theory and computer science, i.e., analogue 'and' digital aspects of systems. This new monograph presents state-of-the-art concepts, methods and tools for analyzing and describing hybrid dynamical systems.
Author | : Rafal Goebel |
Publisher | : Princeton University Press |
Total Pages | : 226 |
Release | : 2012-03-18 |
Genre | : Mathematics |
ISBN | : 0691153892 |
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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.
Author | : Anthony Michel |
Publisher | : CRC Press |
Total Pages | : 732 |
Release | : 2001-01-04 |
Genre | : Mathematics |
ISBN | : 0203908295 |
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"Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations, inequalities, or inclusions. Applies the general theory to specific classes of equations. Presents new and expanded material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics."
Author | : Hai Lin |
Publisher | : Springer Nature |
Total Pages | : 455 |
Release | : 2021-11-18 |
Genre | : Technology & Engineering |
ISBN | : 3030787311 |
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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.
Author | : Bo Hu |
Publisher | : |
Total Pages | : 338 |
Release | : 1999 |
Genre | : |
ISBN | : |
Download Qualitative Analysis of Hybrid Dynamical Systems Book in PDF, ePub and Kindle
Author | : Arjan J. van der Schaft |
Publisher | : Springer |
Total Pages | : 189 |
Release | : 2007-10-03 |
Genre | : Technology & Engineering |
ISBN | : 1846285429 |
Download An Introduction to Hybrid Dynamical Systems Book in PDF, ePub and Kindle
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.
Author | : Anthony Michel |
Publisher | : CRC Press |
Total Pages | : 738 |
Release | : 2001-01-04 |
Genre | : Mathematics |
ISBN | : 9780203908297 |
Download Qualitative Theory of Dynamical Systems Book in PDF, ePub and Kindle
"Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations, inequalities, or inclusions. Applies the general theory to specific classes of equations. Presents new and expanded material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics."
Author | : Mohamed Djemai |
Publisher | : Springer |
Total Pages | : 341 |
Release | : 2014-10-13 |
Genre | : Technology & Engineering |
ISBN | : 331910795X |
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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.
Author | : Henryk Zoladek |
Publisher | : World Scientific |
Total Pages | : 283 |
Release | : 2022-10-21 |
Genre | : Mathematics |
ISBN | : 1800612702 |
Download Qualitative Theory Of Odes: An Introduction To Dynamical Systems Theory Book in PDF, ePub and Kindle
The Qualitative Theory of Ordinary Differential Equations (ODEs) occupies a rather special position both in Applied and Theoretical Mathematics. On the one hand, it is a continuation of the standard course on ODEs. On the other hand, it is an introduction to Dynamical Systems, one of the main mathematical disciplines in recent decades. Moreover, it turns out to be very useful for graduates when they encounter differential equations in their work; usually those equations are very complicated and cannot be solved by standard methods.The main idea of the qualitative analysis of differential equations is to be able to say something about the behavior of solutions of the equations, without solving them explicitly. Therefore, in the first place such properties like the stability of solutions stand out. It is the stability with respect to changes in the initial conditions of the problem. Note that, even with the numerical approach to differential equations, all calculations are subject to a certain inevitable error. Therefore, it is desirable that the asymptotic behavior of the solutions is insensitive to perturbations of the initial state.Each chapter contains a series of problems (with varying degrees of difficulty) and a self-respecting student should solve them. This book is based on Raul Murillo's translation of Henryk Żołądek's lecture notes, which were in Polish and edited in the portal Matematyka Stosowana (Applied Mathematics) in the University of Warsaw.
Author | : Shantao Liao |
Publisher | : Science Press New York |
Total Pages | : 410 |
Release | : 1996 |
Genre | : Medical |
ISBN | : |
Download Qualitative Theory of Differentiable Dynamical Systems Book in PDF, ePub and Kindle