Domain Of Attraction

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Domain of Attraction

Author : Graziano Chesi
Publisher : Springer Science & Business Media
ISBN 13 : 0857299581
Total Pages : 293 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Domain of Attraction by : Graziano Chesi

Download or read book Domain of Attraction written by Graziano Chesi and published by Springer Science & Business Media. This book was released on 2011-08-21 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: For nonlinear dynamical systems, which represent the majority of real devices, any study of stability requires the investigation of the domain of attraction of an equilibrium point, i.e. the set of initial conditions from which the trajectory of the system converges to equilibrium. Unfortunately, both estimating and attempting to control the domain of attraction are very difficult problems, because of the complex relationship of this set with the model of the system. Domain of Attraction addresses the estimation and control of the domain of attraction of equilibrium points via SOS programming, i.e. optimization techniques based on the sum of squares of polynomials (SOS) that have been recently developed and that amount to solving convex problems with linear matrix inequality constraints. A unified framework for addressing these issues is presented for in various cases depending on the nature of the nonlinear systems considered, including the cases of polynomial, non-polynomial, certain and uncertain systems. The methods proposed are illustrated various example systems such as electric circuits, mechanical devices, and nuclear plants. Domain of Attraction also deals with related problems that can be considered within the proposed framework, such as characterizing the equilibrium points and bounding the trajectories of nonlinear systems, and offers a concise and simple description of the main features of SOS programming, which can be used for general purpose in research and teaching.

Domain of Attraction

Author : Graziano Chesi
Publisher : Springer
ISBN 13 : 085729959X
Total Pages : 293 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Domain of Attraction by : Graziano Chesi

Download or read book Domain of Attraction written by Graziano Chesi and published by Springer. This book was released on 2011-08-31 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: For nonlinear dynamical systems, which represent the majority of real devices, any study of stability requires the investigation of the domain of attraction of an equilibrium point, i.e. the set of initial conditions from which the trajectory of the system converges to equilibrium. Unfortunately, both estimating and attempting to control the domain of attraction are very difficult problems, because of the complex relationship of this set with the model of the system. Domain of Attraction addresses the estimation and control of the domain of attraction of equilibrium points via SOS programming, i.e. optimization techniques based on the sum of squares of polynomials (SOS) that have been recently developed and that amount to solving convex problems with linear matrix inequality constraints. A unified framework for addressing these issues is presented for in various cases depending on the nature of the nonlinear systems considered, including the cases of polynomial, non-polynomial, certain and uncertain systems. The methods proposed are illustrated various example systems such as electric circuits, mechanical devices, and nuclear plants. Domain of Attraction also deals with related problems that can be considered within the proposed framework, such as characterizing the equilibrium points and bounding the trajectories of nonlinear systems, and offers a concise and simple description of the main features of SOS programming, which can be used for general purpose in research and teaching.

Statistical Extremes and Applications

Author : J. Tiago de Oliveira
Publisher : Springer Science & Business Media
ISBN 13 : 9401730695
Total Pages : 690 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Statistical Extremes and Applications by : J. Tiago de Oliveira

Download or read book Statistical Extremes and Applications written by J. Tiago de Oliveira and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first references to statistical extremes may perhaps be found in the Genesis (The Bible, vol. I): the largest age of Methu'selah and the concrete applications faced by Noah-- the long rain, the large flood, the structural safety of the ark --. But as the pre-history of the area can be considered to last to the first quarter of our century, we can say that Statistical Extremes emer ged in the last half-century. It began with the paper by Dodd in 1923, followed quickly by the papers of Fre-chet in 1927 and Fisher and Tippett in 1928, after by the papers by de Finetti in 1932, by Gumbel in 1935 and by von Mises in 1936, to cite the more relevant; the first complete frame in what regards probabilistic problems is due to Gnedenko in 1943. And by that time Extremes begin to explode not only in what regards applications (floods, breaking strength of materials, gusts of wind, etc. ) but also in areas going from Proba bility to Stochastic Processes, from Multivariate Structures to Statistical Decision. The history, after the first essential steps, can't be written in few pages: the narrow and shallow stream gained momentum and is now a huge river, enlarging at every moment and flooding the margins. Statistical Extremes is, thus, a clear-cut field of Probability and Statistics and a new exploding area for research.

Domain of Attraction

Author :
Publisher :
ISBN 13 : 9780857299604
Total Pages : 306 pages
Book Rating : 4.2/5 (996 download)

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Book Synopsis Domain of Attraction by :

Download or read book Domain of Attraction written by and published by . This book was released on 2011-09-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Characterizations of Probability Distributions.

Author : Janos Galambos
Publisher : Springer
ISBN 13 : 3540357335
Total Pages : 177 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Characterizations of Probability Distributions. by : Janos Galambos

Download or read book Characterizations of Probability Distributions. written by Janos Galambos and published by Springer. This book was released on 2006-11-15 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistics of Extremes

Author : Jan Beirlant
Publisher : John Wiley & Sons
ISBN 13 : 9780471976479
Total Pages : 516 pages
Book Rating : 4.9/5 (764 download)

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Book Synopsis Statistics of Extremes by : Jan Beirlant

Download or read book Statistics of Extremes written by Jan Beirlant and published by John Wiley & Sons. This book was released on 2004-10-15 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in the statistical analysis of extreme values has flourished over the past decade: new probability models, inference and data analysis techniques have been introduced; and new application areas have been explored. Statistics of Extremes comprehensively covers a wide range of models and application areas, including risk and insurance: a major area of interest and relevance to extreme value theory. Case studies are introduced providing a good balance of theory and application of each model discussed, incorporating many illustrated examples and plots of data. The last part of the book covers some interesting advanced topics, including time series, regression, multivariate and Bayesian modelling of extremes, the use of which has huge potential.

An Intermediate Course in Probability

Author : Allan Gut
Publisher : Springer Science & Business Media
ISBN 13 : 1441901620
Total Pages : 310 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis An Intermediate Course in Probability by : Allan Gut

Download or read book An Intermediate Course in Probability written by Allan Gut and published by Springer Science & Business Media. This book was released on 2009-06-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book that gives a rigorous and comprehensive treatment with lots of examples, exercises, remarks on this particular level between the standard first undergraduate course and the first graduate course based on measure theory. There is no competitor to this book. The book can be used in classrooms as well as for self-study.

Operational Risk

Author : Harry H. Panjer
Publisher : John Wiley & Sons
ISBN 13 : 0470051302
Total Pages : 460 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Operational Risk by : Harry H. Panjer

Download or read book Operational Risk written by Harry H. Panjer and published by John Wiley & Sons. This book was released on 2006-10-13 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover how to optimize business strategies from both qualitative and quantitative points of view Operational Risk: Modeling Analytics is organized around the principle that the analysis of operational risk consists, in part, of the collection of data and the building of mathematical models to describe risk. This book is designed to provide risk analysts with a framework of the mathematical models and methods used in the measurement and modeling of operational risk in both the banking and insurance sectors. Beginning with a foundation for operational risk modeling and a focus on the modeling process, the book flows logically to discussion of probabilistic tools for operational risk modeling and statistical methods for calibrating models of operational risk. Exercises are included in chapters involving numerical computations for students' practice and reinforcement of concepts. Written by Harry Panjer, one of the foremost authorities in the world on risk modeling and its effects in business management, this is the first comprehensive book dedicated to the quantitative assessment of operational risk using the tools of probability, statistics, and actuarial science. In addition to providing great detail of the many probabilistic and statistical methods used in operational risk, this book features: * Ample exercises to further elucidate the concepts in the text * Definitive coverage of distribution functions and related concepts * Models for the size of losses * Models for frequency of loss * Aggregate loss modeling * Extreme value modeling * Dependency modeling using copulas * Statistical methods in model selection and calibration Assuming no previous expertise in either operational risk terminology or in mathematical statistics, the text is designed for beginning graduate-level courses on risk and operational management or enterprise risk management. This book is also useful as a reference for practitioners in both enterprise risk management and risk and operational management.

Extreme Value Distributions

Author : Samuel Kotz
Publisher : World Scientific
ISBN 13 : 1860944027
Total Pages : 195 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Extreme Value Distributions by : Samuel Kotz

Download or read book Extreme Value Distributions written by Samuel Kotz and published by World Scientific. This book was released on 2000 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book provides an up-to-date comprehensive and down-to-earth survey of the theory and practice of extreme value distributions OCo one of the most prominent success stories of modern applied probability and statistics. Originated by E J Gumbel in the early forties as a tool for predicting floods, extreme value distributions evolved during the last 50 years into a coherent theory with applications in practically all fields of human endeavor where maximal or minimal values (the so-called extremes) are of relevance. The book is of usefulness both for a beginner with a limited probabilistic background and to expert in the field. Sample Chapter(s). Chapter 1.1: Historical Survey (139 KB). Chapter 1.2: The Three Types of Extreme Value Distributions (146 KB). Chapter 1.3: Limiting Distributions and Domain of Attraction (210 KB). Chapter 1.4: Distribution Function and Moments of Type 1 Distribution (160 KB). Chapter 1.5: Order Statistics, Record Values and Characterizations (175 KB). Contents: Univariate Extreme Value Distributions; Generalized Extreme Value Distributions; Multivariate Extreme Value Distributions. Readership: Applied probabilists, applied statisticians, environmental scientists, climatologists, industrial engineers and management experts."

Estimating the Domain of Attraction for Two Dimensional Nonlinear Systems

Author : Xiangbo Feng
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.:/5 (163 download)

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Book Synopsis Estimating the Domain of Attraction for Two Dimensional Nonlinear Systems by : Xiangbo Feng

Download or read book Estimating the Domain of Attraction for Two Dimensional Nonlinear Systems written by Xiangbo Feng and published by . This book was released on 1987 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Positive Polynomials in Control

Author : Didier Henrion
Publisher : Springer Science & Business Media
ISBN 13 : 9783540239482
Total Pages : 332 pages
Book Rating : 4.2/5 (394 download)

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Book Synopsis Positive Polynomials in Control by : Didier Henrion

Download or read book Positive Polynomials in Control written by Didier Henrion and published by Springer Science & Business Media. This book was released on 2005-01-14 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Positive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003 and gives a comprehensive overview of existing results in this quickly emerging area. This carefully edited book collects important contributions from several fields of control, optimization, and mathematics, in order to show different views and approaches of polynomial positivity. The book is organized in three parts, reflecting the current trends in the area: 1. applications of positive polynomials and LMI optimization to solve various control problems, 2. a mathematical overview of different algebraic techniques used to cope with polynomial positivity, 3. numerical aspects of positivity of polynomials, and recently developed software tools which can be employed to solve the problems discussed in the book.

Friendship Processes

Author : Beverley Fehr
Publisher : SAGE
ISBN 13 : 0803945612
Total Pages : 259 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis Friendship Processes by : Beverley Fehr

Download or read book Friendship Processes written by Beverley Fehr and published by SAGE. This book was released on 1996 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In this marvelous book, Beverly Fehr presents a comprehensive and richly detailed examination of what scholars have learned about the formation, maintenance, and dissolution of friendships. . . . Overall, a model of careful scholarship, clear writing, and good sense. For anyone studying friendships, there is no better place to start. This is perhaps the best book of its kind." --Choice Friends are an integral part of our lives--they sometimes replace family relationships and often form the basis for romantic relationships. Friendship Processes, new in the Sage Series on Close Relationships, examines exactly how friends give meaning to our lives and why we rely so heavily on them. Broad in its coverage, the book is process oriented and research based with each phase of the friendship process documented by empirical research. The result is a conceptual framework that illuminates the fascinating components of how we make friends, how we become close, how we maintain friends, and how friendships deteriorate and dissolve. Author Beverley Fehr equips the reader with valuable knowledge about the formations and continuations of the intriguing personal relationship called friendship. Friendship Processes also illustrates well the fact that, as a field of study, close relationships is maturing rapidly. Promising to be the definitive study of the subject for many years to come, this book will be of particular interest to professionals, academics, and students of social psychology, sociology, communication, family studies, and social work as well as any interested reader who is anxious to deepen his or her understanding and appreciation of a very engaging topic.

Laws Of Small Numbers

Author : Michael Falk
Publisher : Springer Science & Business Media
ISBN 13 : 9783764324162
Total Pages : 396 pages
Book Rating : 4.3/5 (241 download)

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Book Synopsis Laws Of Small Numbers by : Michael Falk

Download or read book Laws Of Small Numbers written by Michael Falk and published by Springer Science & Business Media. This book was released on 2004 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results on about 130 additional pages. Part II, which has been added in the second edition, discusses recent developments in multivariate extreme value theory. Particularly notable is a new spectral decomposition of multivariate distributions in univariate ones which makes multivariate questions more accessible in theory and practice. One of the most innovative and fruitful topics during the last decades was the introduction of generalized Pareto distributions in the univariate extreme value theory. Such a statistical modelling of extremes is now systematically developed in the multivariate framework.

Algorithmic Learning Theory - ALT '92

Author : Shuji Doshita
Publisher : Springer Science & Business Media
ISBN 13 : 9783540573692
Total Pages : 276 pages
Book Rating : 4.5/5 (736 download)

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Book Synopsis Algorithmic Learning Theory - ALT '92 by : Shuji Doshita

Download or read book Algorithmic Learning Theory - ALT '92 written by Shuji Doshita and published by Springer Science & Business Media. This book was released on 1993-10-20 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers that were presented at the Third Workshop onAlgorithmic Learning Theory, held in Tokyo in October 1992. In addition to 3invited papers, the volume contains 19 papers accepted for presentation, selected from 29 submitted extended abstracts. The ALT workshops have been held annually since 1990 and are organized and sponsored by the Japanese Society for Artificial Intelligence. The main objective of these workshops is to provide an open forum for discussions and exchanges of ideasbetween researchers from various backgrounds in this emerging, interdisciplinary field of learning theory. The volume is organized into parts on learning via query, neural networks, inductive inference, analogical reasoning, and approximate learning.

Laws of Small Numbers: Extremes and Rare Events

Author : Michael Falk
Publisher : Springer Science & Business Media
ISBN 13 : 3034800096
Total Pages : 513 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Laws of Small Numbers: Extremes and Rare Events by : Michael Falk

Download or read book Laws of Small Numbers: Extremes and Rare Events written by Michael Falk and published by Springer Science & Business Media. This book was released on 2010-10-07 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results. In this third edition, the dramatic change of focus of extreme value theory has been taken into account: from concentrating on maxima of observations it has shifted to large observations, defined as exceedances over high thresholds. One emphasis of the present third edition lies on multivariate generalized Pareto distributions, their representations, properties such as their peaks-over-threshold stability, simulation, testing and estimation. Reviews of the 2nd edition: "In brief, it is clear that this will surely be a valuable resource for anyone involved in, or seeking to master, the more mathematical features of this field." David Stirzaker, Bulletin of the London Mathematical Society "Laws of Small Numbers can be highly recommended to everyone who is looking for a smooth introduction to Poisson approximations in EVT and other fields of probability theory and statistics. In particular, it offers an interesting view on multivariate EVT and on EVT for non-iid observations, which is not presented in a similar way in any other textbook." Holger Drees, Metrika

Encyclopedia of Statistical Sciences, Volume 3

Author :
Publisher : John Wiley & Sons
ISBN 13 : 0471743844
Total Pages : 706 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Encyclopedia of Statistical Sciences, Volume 3 by :

Download or read book Encyclopedia of Statistical Sciences, Volume 3 written by and published by John Wiley & Sons. This book was released on 2005-12-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: ENCYCLOPEDIA OF STATISTICAL SCIENCES

Stability of Dynamical Systems

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817644865
Total Pages : 516 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Stability of Dynamical Systems by :

Download or read book Stability of Dynamical Systems written by and published by Springer Science & Business Media. This book was released on 2008 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.