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.

Author: Murat Arcak

Publisher: Springer

ISBN: 9783319299280

Category: Technology & Engineering

Page: 102

View: 858

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.

This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features.

Author: Bernard Brogliato

Publisher: Springer

ISBN: 9783030194208

Category: Technology & Engineering

Page: 711

View: 209

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.

2 Complex dynamics in neural and genetic networks In this chapter, we first
consider the method of realization of vector fields (RVF), the main tool for proving
the existence of complicated large time behavior for some dissipative semiflows.

Author: Sergey Vakulenko

Publisher: Walter de Gruyter

ISBN: 9783110268287

Category: Mathematics

Page: 311

View: 408

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.

Moreover , we write an equation for each voltage source and a constitutive
equation for each inductor . In this way we obtain a system of DAEs for a
redundant set of network variables . To be more specific , let us consider an RLC network with ...

Author: Lorenzo Pareschi

Publisher: Nova Publishers

ISBN: 1594545030

Category: Science

Page: 220

View: 897

The book is divided into three parts, which contain respectively recent results in the kinetic theory of granular gases, kinetic theory of chemically reacting gases, and numerical methods for kinetic systems. Part I is devoted to theoretical aspects of granular gases. Part II presents recent results on modelling of kinetic systems in which molecules can undergo binary collisions in presence of chemical reactions and/or in presence of quantum effects. Part III contains several contributions related to the construction of suitable numerical methods and simulations for granular gases.

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: Wassim M. Haddad

Publisher: Princeton University Press

ISBN: 9781400842667

Category: Mathematics

Page: 384

View: 729

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.

5.2.2 Port controlled Hamiltonian systems As the examples of the LC circuit and
of the levitated ball have shown, although the ... The systems (5.74) have been
called port controlled Hamiltonian system in allusion to the network concept of
the ...

Author: Rogelio Lozano

Publisher: Springer Science & Business Media

ISBN: 9781447136682

Category: Computers

Page: 377

View: 805

This book deals with the analysis and feedback control of dissipative dynamical systems. It presents the background of dissipative systems theory. Linear as well as nonlinear systems are treated, and many examples are given throughout the chapters. Some infinite dimensional and non-smooth examples are also included. The emphasis is put on the application towards the design of stable feedback control laws. Then the theory is illustrated on physical examples; (Lagrangian and Hamiltonian systems are thoroughly studied, as well as adaptive control). It is shown how the dissipativity properties of a system can be used in the design of stable feedback controllers. Some experimental results are presented which corroborate the theoretical developments. This monograph is primarily for readers who wish to get aquainted with Dissipative Systems Theory, and its uses in Systems and Control and Robotics. It constitutes an advanced introduction to the topic, and is the first volume ever published which is dedicated entirely to this subject.

Dissipative. Models. Dynamical systems are called dissipative if their dynamics
converge to attrac- tors. When a dissipative system has an energy (Lyapunov)
functional, the attractors are fixed points [HS74]; otherwise, more complex
attractors ...

Author: Hava Siegelmann

Publisher: Springer Science & Business Media

ISBN: 0817639497

Category: Computers

Page: 181

View: 382

The theoretical foundations of Neural Networks and Analog Computation conceptualize neural networks as a particular type of computer consisting of multiple assemblies of basic processors interconnected in an intricate structure. Examining these networks under various resource constraints reveals a continuum of computational devices, several of which coincide with well-known classical models. On a mathematical level, the treatment of neural computations enriches the theory of computation but also explicated the computational complexity associated with biological networks, adaptive engineering tools, and related models from the fields of control theory and nonlinear dynamics. The material in this book will be of interest to researchers in a variety of engineering and applied sciences disciplines. In addition, the work may provide the base of a graduate-level seminar in neural networks for computer science students.

Indeed, open dissipative systems are in many cases associated with fractals for
more than one reason. Firstly, attractors in the phase space of a nonlinear
dynamical system can have a fractal geometry; secondly, their evolution can
proceed by ...

Author: Thilo Gross

Publisher: Springer Science & Business Media

ISBN: 9783642012846

Category: Science

Page: 332

View: 582

Adding one and one makes two, usually. But sometimes things add up to more than the sum of their parts. This observation, now frequently expressed in the maxim “more is different”, is one of the characteristic features of complex systems and, in particular, complex networks. Along with their ubiquity in real world systems, the ability of networks to exhibit emergent dynamics, once they reach a certain size, has rendered them highly attractive targets for research. The resulting network hype has made the word “network” one of the most in uential buzzwords seen in almost every corner of science, from physics and biology to economy and social sciences. The theme of “more is different” appears in a different way in the present v- ume, from the viewpoint of what we call “adaptive networks.” Adaptive networks uniquely combine dynamics on a network with dynamical adaptive changes of the underlying network topology, and thus they link classes of mechanisms that were previously studied in isolation. Here adding one and one certainly does not make two, but gives rise to a number of new phenomena, including highly robust se- organization of topology and dynamics and other remarkably rich dynamical beh- iors.

Author: Giancarlo de MarchisPublish On: 2013-03-20

Design and Modelling / IFIP TC6 Second International Working Conference on
Optical Network Design and Modelling ... V.S.; Verichev N.N. and Rabinovich,
M.I. (1986) Stochastic synchronization of oscillations in dissipative systems, Inv.
VUZ.

Author: Giancarlo de Marchis

Publisher: Springer

ISBN: 9780387353982

Category: Computers

Page: 192

View: 538

Optical network design and modelling is an essential issue for planning and operating networks for the next century. The main issues in optical networking are being widely investigated, not only for WDM networks but also for optical TDM and optical packet switching. This book contributes to further progress in optical network architectures, design, operation and management and covers the following topics in detail: Routing strategies and algorithms for optical networks; Network planning and design; Wavelength conversion and wavelength assignment in optical networks; Technologies for optical networks (transport, access and local area networks); Transmission aspects in wide area optical networks; New paradigms for traffic modelling. This book contains the selected proceedings of the Second International Working Conference on Optical Network Design and Modelling, which was sponsored by the International Federation for Information Processing (IFIP), and held in February 1998, in Rome, Italy. This valuable new book will be essential reading for personnel in computer/communication industries, and for academic and research staff in computer science and electrical engineering.

DISSIPATIVE STOCHASTIC CONTROL SYSTEMS J . H . van Schuppen
Mathematical Centre P . O . Box 4079 1009 AB AMSTERDAM The Netherlands
SUMMARY Consider a stochastic ... The concept originates in electrical network
theory .

AN APPROACH TO THE VARIATIONAL THEORY OF DISSIPATIVE SYSTEMS
Abstract Some fundamental results on ... INTRODUCTION Network and system
theory is occasionally dressed up in the formalism of analytical mechanics , but
no ...

AN APPROACH TO THE VARIATIONAL THEORY OF DISSIPATIVE SYSTEMS
Abstract Some fundamental results on ... INTRODUCTION Network and system
theory is occasionally dressed up in the formalism of analytical mechanics , but
no ...

A dissipative system imports energy and information from the environment that
then dissipate through the system , in a ... Systems Simulation and analysis of
deterministic feedback networks and dissipative structures , as well as laboratory
...

Author: Ralph D. Stacey

Publisher: Berrett-Koehler Publishers

ISBN: UOM:39076001674501

Category: Business & Economics

Page: 312

View: 381

Combining insights from the new science of complexity with insights from psychoanalysis, Stacey posits that repressing the anxiety caused by the unstable, ever-changing nature of today's business world also represses the creative impulses - the ""spaces for novelty"" - that allow members of a workforce to produce their best work. Using the science of complexity as a starting point, he pulls together many insights into behavior and organizational functioning that currently lie at the edges of research and practice. This book invites people to explore what the new science might mean for understanding life in organizations, and shows how it can be used as a framework for understanding the processes that produce emergence rather than intentional strategies. Stacey presents an entirely new perspective on what it means for an organization to learn.

Associate with a supply rate s which is a real - valued function s : W R. A dissipative dynamical system is defined as follows . Definition 2.1 The pair ( 2 , s )
is said to be dissipative if there exists a non - negative function V : X + R , called
the ...

Associate with E a supply rate s which is a real - valued function s : W → R . A dissipative dynamical system is defined as follows . Definition 2 . 1 The pair ( 2 , s
) is said to be dissipative if there erists a non - negative function V : X → R , called
...

Author: International Association of Science and Technology for DevelopmentPublish On: 1989

Symp . on Circuits and Systems , June 7 - 9 , 1988 , Espoo , Finland , pp . 2457 -
2461 . 4 . Fatic , V . M . , " Generalized Lagrangian Equations for Dissipative Networks and Systems " , Proc . the 6th Intern . Symp . on Networks , Systems
and ...

Author: International Association of Science and Technology for Development

Dynamical systems, whether continuous or discrete, can be classified as
conservative or dissipative. A system is conservative if volumes in phase space
are conserved (volumes remain constant) over time evolution of the flow or map.

Author: Dan W. Patterson

Publisher:

ISBN: UCSC:32106014842642

Category: Computers

Page: 477

View: 164

This comprehensive tutorial on artifical neural networks covers all the important neural network architectures as well as the most recent theory--e.g., pattern recognition, statistical theory, and other mathematical prerequisites. A broad range of applications is provided for each of the architectures.

Most of the recurrent neural networks models fall in the category of dissipative systems . The qualitative properties of dissipative dynamical systems can be
summarized the following way : - The state space of a dynamical system is
divided into ...

Author: International Symposium on Mathematical Theory of Networks and SystemsPublish On: 1979

International Symposium on Mathematical Theory of Networks and Systems. ON
THE ENERGY STORED IN LINEAR NON - DISSIPATIVE SYSTEMS Pierre
Amstutz Centre National d ' Etudes des Télécommunications F - 92131 Issy les ...

Author: International Symposium on Mathematical Theory of Networks and Systems