[PDF] Networks Of Dissipative Systems eBook

Author : Murat Arcak
Publisher : Springer
Page : 105 pages
File Size : 12,75 MB
Release : 2016-03-01
Category : Technology & Engineering
ISBN : 331929928X

GET BOOK

This book addresses a major problem for today’s large-scale networked systems: certification of the required stability and performance properties using analytical and computational models. On the basis of illustrative case studies, it demonstrates the applicability of theoretical methods to biological networks, vehicle fleets, and Internet congestion control. Rather than tackle the network as a whole —an approach that severely limits the ability of existing methods to cope with large numbers of physical components— the book develops a compositional approach that derives network-level guarantees from key structural properties of the components and their interactions. The foundational tool in this approach is the established dissipativity theory, which is reviewed in the first chapter and supplemented with modern computational techniques. The book blends this theory with the authors’ recent research efforts at a level that is accessible to graduate students and practising engineers familiar with only the most basic nonlinear systems concepts. Code associated with the numerical examples can be downloaded at extras.springer.com, allowing readers to reproduce the examples and become acquainted with the relevant software.

Author : Sergey Vakulenko
Publisher : Walter de Gruyter
Page : 316 pages
File Size : 44,30 MB
Release : 2013-11-27
Category : Mathematics
ISBN : 3110268280

GET BOOK

This book focuses on the dynamic complexity of neural, genetic networks, and reaction diffusion systems. The author shows that all robust attractors can be realized in dynamics of such systems. In particular, a positive solution of the Ruelle-Takens hypothesis for on chaos existence for large class of reaction-diffusion systems is given. The book considers viability problems for such systems - viability under extreme random perturbations - and discusses an interesting hypothesis of M. Gromov and A. Carbone on biological evolution. There appears a connection with the Kolmogorov complexity theory. As applications, transcription-factors-microRNA networks are considered, patterning in biology, a new approach to estimate the computational power of neural and genetic networks, social and economical networks, and a connection with the hard combinatorial problems.

Author : Bernard Brogliato
Publisher : Springer
Page : 579 pages
File Size : 23,71 MB
Release : 2009-10-12
Category : Technology & Engineering
ISBN : 9781848005525

GET BOOK

This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.

Author : Wassim M. Haddad
Publisher : Princeton University Press
Page : 389 pages
File Size : 49,82 MB
Release : 2011-11-14
Category : Mathematics
ISBN : 1400842662

GET BOOK

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.

Author : L.M. Pismen
Publisher : Springer Science & Business Media
Page : 383 pages
File Size : 39,7 MB
Release : 2006-07-07
Category : Science
ISBN : 3540304312

GET BOOK

Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.

Author : Bernard Brogliato
Publisher : Springer
Page : 720 pages
File Size : 47,5 MB
Release : 2019-07-03
Category : Technology & Engineering
ISBN : 3030194205

GET BOOK

This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.

Author : Arjan van der Schaft
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 31,63 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 1447105079

GET BOOK

With respect to the first edition as Volume 218 in the Lecture Notes in Con trol and Information Sciences series the basic idea of the second edition has remained the same: to provide a compact presentation of some basic ideas in the classical theory of input-output and closed-loop stability, together with a choice of contributions to the recent theory of nonlinear robust and 1foo control and passivity-based control. Nevertheless, some parts of the book have been thoroughly revised and/or expanded, in order to have a more balanced presen tation of the theory and to include some of the new developments which have been taken place since the appearance of the first edition. I soon realized, how ever, that it is not possible to give a broad exposition of the existing literature in this area without affecting the spirit of the book, which is precisely aimed at a compact presentation. So as a result the second edition still reflects very much my personal taste and research interests. I trust that others will write books emphasizing different aspects. Major changes with respect to the first edition are the following: • A new section has been added in Chapter 2 relating L2-gain and passivity via scattering, emphasizing a coordinate-free, geometric, treatment. • The section on stability in Chapter 3 has been thoroughly expanded, also incorporating some recent results presented in [182J.

Author : Alexandra Aulova
Publisher :
Page : 125 pages
File Size : 16,11 MB
Release : 2016
Category :
ISBN :

GET BOOK

Polymeric materials, which are typical representatives of dissipative systems, are entering demanding engineering applications. Therefore, a precise and reliable monitoring of durability and health of polymeric structures is required. Such health monitoring system should be able to detect geometrical changes, as the existing systems do and detect changes in time-dependent mechanical properties caused by the external static and dynamic loading and environmental conditions. The thesis addresses a problem of obtaining segments of relaxation modulus curves from the experimental data, obtained in uniaxial constant strain rate experiments, which represents an inverse problem. The inverse problem was solved with the Multilayer Perceptron and the Radial Basis Function neural networks. In addition, the problem of direct determination of relaxation mechanical spectrum from the same experimental data was addressed. In this case the so-called pre-structured neural networks were applied. The Radial Basis Function networks demonstrated promising generalization and robustness abilities compared to the commonly used "classical" numerical method of exponential fitting. Hence, this approach may be utilized for development of an on-line monitoring systems of polymeric structures exposed to complex mechanical loadings. On the other hand, the proposed pre-structured neural networks approach requires further investigation and improvements.