Networks of Dissipative Systems

Networks of Dissipative Systems PDF Author: Murat Arcak
Publisher: Springer
ISBN: 331929928X
Category : Technology & Engineering
Languages : en
Pages : 105

Book Description
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.

Complexity and Evolution of Dissipative Systems

Complexity and Evolution of Dissipative Systems PDF Author: Sergey Vakulenko
Publisher: Walter de Gruyter
ISBN: 3110268280
Category : Mathematics
Languages : en
Pages : 316

Book Description
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.

Dissipative Systems Analysis and Control

Dissipative Systems Analysis and Control PDF Author: Bernard Brogliato
Publisher: Springer
ISBN: 9781848005525
Category : Technology & Engineering
Languages : en
Pages : 579

Book Description
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.

Introduction to the Theory of Infinite-dimensional Dissipative Systems

Introduction to the Theory of Infinite-dimensional Dissipative Systems PDF Author: Igor' D. Čuešov
Publisher: "Acta" publishers
ISBN: 9667021645
Category : Differentiable dynamical systems
Languages : en
Pages : 421

Book Description


Stability and Control of Large-Scale Dynamical Systems

Stability and Control of Large-Scale Dynamical Systems PDF Author: Wassim M. Haddad
Publisher: Princeton University Press
ISBN: 1400842662
Category : Mathematics
Languages : en
Pages : 389

Book Description
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.

Dissipative Systems Analysis and Control

Dissipative Systems Analysis and Control PDF Author: Bernard Brogliato
Publisher: Springer
ISBN: 3030194205
Category : Technology & Engineering
Languages : en
Pages : 720

Book Description
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.

Patterns and Interfaces in Dissipative Dynamics

Patterns and Interfaces in Dissipative Dynamics PDF Author: L.M. Pismen
Publisher: Springer Science & Business Media
ISBN: 3540304312
Category : Science
Languages : en
Pages : 383

Book Description
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.

Using Neural Networks in Modeling of Dissipative Systems

Using Neural Networks in Modeling of Dissipative Systems PDF Author: Alexandra Aulova
Publisher:
ISBN:
Category :
Languages : en
Pages : 66

Book Description


Neural Networks for Modelling Dissipative Systems

Neural Networks for Modelling Dissipative Systems PDF Author: Alexandra Aulova
Publisher:
ISBN:
Category :
Languages : en
Pages : 125

Book Description
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.

Networks in Action

Networks in Action PDF Author: David Batten
Publisher: Springer Science & Business Media
ISBN: 3642578438
Category : Business & Economics
Languages : en
Pages : 335

Book Description
fifteen countries in Scandinavia, Europe, Asia, Australia, and U.S.A. All of them came to Stockholm primarily because they recognize the growing im portance of networks as complex systems, and their home institutions do not offer any systematic lectures on this topic. The Networks Course was originally initiated jointly by the Summer University of Southern Stockholm Foundation and the County Council of Stockholm, the Swedish Aviation Administration, the Swedish National Road Administration, the Swedish Post, the Swedish State Railways, and Telia AB. They have all served as joint sponsors and hosts for the Course. In the year 1993 the Course also was sponsored by the Swedish Transport and Communications Research Board. All these organizations have supported the publication of a series of key lectures from the Course, to be released as a single volume entitled Networks in Action. It is the ambition of the Foundation to create continuity in its activities for the future. The board has proposed to its principals to take a decision in this direction. It is my expectation that this will be the case for the Networks Course from 1995. This book will then serve as a basic reference for use in an era when the topic of Communication-Networks will be included on a permanent basis in the Summer University's agenda.