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Author: R.R. Mohler
Publisher: Springer Science & Business Media
ISBN: 3642455093
Category : Business & Economics
Languages : en
Pages : 334
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Book Description
The seminar for which the proceedings are published here evolved from a cooperative research program on bilinear systems and applications to immunology at the Oregon State University and at the University of Rome. The topics include more general forms of variable structure systems which may be divided into categories of mathematical system theory, economic applications and biological applications. Throughout the seminar there was emphasis on the integration of theory and app- cation. In most cases, theoretical derivations are motivated by their need to solve practical problems. In reading the proceedings, it becomes apparent that bilinear systems, quadratic systems and more general variable structure or adaptive systems become natural models in many cases and excellent approximations in others. It is seen that linear systems have very limited use particularly in economics and biology. Variable structure systems are analyzed in terms of structure,volterra kernels, system modelling, parameter identification,- controllability and Lie algebra to mention a few. Certainly, it ia nbt possible to present a complete tre- ment of these numerous topics, but at the Same time the unifying power of the systems approach and variable structure systems is shown.
Author: R.R. Mohler
Publisher: Springer Science & Business Media
ISBN: 3642455093
Category : Business & Economics
Languages : en
Pages : 334
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Book Description
The seminar for which the proceedings are published here evolved from a cooperative research program on bilinear systems and applications to immunology at the Oregon State University and at the University of Rome. The topics include more general forms of variable structure systems which may be divided into categories of mathematical system theory, economic applications and biological applications. Throughout the seminar there was emphasis on the integration of theory and app- cation. In most cases, theoretical derivations are motivated by their need to solve practical problems. In reading the proceedings, it becomes apparent that bilinear systems, quadratic systems and more general variable structure or adaptive systems become natural models in many cases and excellent approximations in others. It is seen that linear systems have very limited use particularly in economics and biology. Variable structure systems are analyzed in terms of structure,volterra kernels, system modelling, parameter identification,- controllability and Lie algebra to mention a few. Certainly, it ia nbt possible to present a complete tre- ment of these numerous topics, but at the Same time the unifying power of the systems approach and variable structure systems is shown.
Author: National Library of Medicine (U.S.)
Publisher:
ISBN:
Category : Medicine
Languages : en
Pages : 1564
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Book Description
Includes subject section, name section, and 1968-1970, technical reports.
Author: R. R. Mohler
Publisher: Springer Science & Business Media
ISBN: 3642474578
Category : Business & Economics
Languages : en
Pages : 330
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Book Description
The proceedings of the Second US-Italy Seminar on Variable Structure Systems is published in this volume. Like the first seminar, its conception evolved from common research interests on bilinear systems at the Istituto di Automatica of Rome University and at the Electrical and Computer Engineering Department of Oregon State University. Again, the seminar was focused on variable structure systems in general. In this case, however, emphasis is given to applications in biology and economics along with theoretical investi gations which are so necessary to establish a unified theory and to motivate further developments in these applications of social significance. By bringing together the talents of social and biological scientists with those of engineers and mathematicians from throughout Italy and the United States, the seminar was intended to yield a cross-pollination of significant results and a base for more meaningful future research. The editors are encouraged by the progress, with which they hope the reader will agree, is made in this direction. No pretense is made, however, that completely satisfactory integration of theore tical results and applications has been accomplished at this time. Among the more important conclusions which have resulted from this seminar are that bilinear and more general variable structure models arise in a natural manner from basic principles for certain biological and economic processes.
Author: Gianfranco Minati
Publisher: MDPI
ISBN: 3038424404
Category : Mathematics
Languages : en
Pages : 221
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Book Description
This book is a printed edition of the Special Issue "Second Generation General System Theory: Perspectives in Philosophy and Approaches in Complex Systems" that was published in Systems
Author: David Elliott
Publisher: Springer Science & Business Media
ISBN: 1402096135
Category : Science
Languages : en
Pages : 283
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Book Description
The mathematical theory of control became a ?eld of study half a century ago in attempts to clarify and organize some challenging practical problems and the methods used to solve them. It is known for the breadth of the mathematics it uses and its cross-disciplinary vigor. Its literature, which can befoundinSection93ofMathematicalReviews,wasatonetimedominatedby the theory of linear control systems, which mathematically are described by linear di?erential equations forced by additive control inputs. That theory led to well-regarded numerical and symbolic computational packages for control analysis and design. Nonlinear control problems are also important; in these either the - derlying dynamical system is nonlinear or the controls are applied in a n- additiveway.Thelastfourdecadeshaveseenthedevelopmentoftheoretical work on nonlinear control problems based on di?erential manifold theory, nonlinear analysis, and several other mathematical disciplines. Many of the problems that had been solved in linear control theory, plus others that are new and distinctly nonlinear, have been addressed; some resulting general de?nitions and theorems are adapted in this book to the bilinear case.
Author: Bruce G. Hutchinson
Publisher: Springer Science & Business Media
ISBN: 3642510205
Category : Business & Economics
Languages : en
Pages : 381
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Book Description
'l'he papers contained in this volume were originally presented at the International symposium on New Directions in Urban Systems Modelling held at the University of Waterloo in July, 1983. The papers have been reviewed and rewritten since that time. The exception is the introductory paper written specially by Manfred Fischer and Peter Nijkamp as an introduction to this volume. The manuscript was prepared in the word processing unit in the nepartment of Civil Engineering, university of Waterloo. The sustained work of Mrs. I. Steffler in preparing this manuscript is gratefully acknowledged. "'r. R. K. Kumar provided excellent assistance with the editorial process. The svrnposium and the preparation of this manuscript were supporteö financially by the Natural Sciences and Engineering Research Council of Canada, The Academic Development Fund and the Department of Civil Engineering, TTniversity of waterloo. TABLE OF CONTENTS PREFACE •....••...•..•...•..........•..••.•....•.•••.••.••.•..•••••.•.••.. III Categorical Data and Choice Analysis in a Spatial Context Manfred Fischer and Peter Nijkamp .•••....•.......•.•.....•.......•.......
Author: Reinhard Tietz
Publisher: Springer Science & Business Media
ISBN: 3642483569
Category : Business & Economics
Languages : en
Pages : 369
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Book Description
The book reports on recent experimental research on expectations and decision making in bargaining, markets, auctions, or coalition formation situations. The investi- gated topics deliver building stones for a bounded rational theory as an approach to explain behavior and interpersonal interactions in economic and social relationships.
Author: G.F. Newell
Publisher: Springer Science & Business Media
ISBN: 364245576X
Category : Business & Economics
Languages : en
Pages : 142
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Book Description
We are concerned here with a service facility consisting of a large (- finite) number of servers in parallel. The service times for all servers are identical, but there is a preferential ordering of the servers. Each newly arriving customer enters the lowest ranked available server and remains there until his service is completed. It is assumed that customers arrive according to a Poisson process of rate A , that all servers have exponentially distributed service times with rate ~ and that a = A/~ is large compared with 1. Generally, we are concerned with the stochastic properties of the random function N(s ,t) describing the number of busy servers among the first s ordered servers at time t. Most of the analysis is motivated by special applications of this model to telephone traffic. If one has a brunk line with s primary channels, but a large number (00) of secondary (overflow) channels, each newly arriving customer is assigned to one of the primary channels if any are free; otherwise, he is assigned to a secondary channel. The primary and secondary channels themselves could have a preferential ordering. For some purposes, it is convenient to imagine that they did even if an ordering is irrelevant.
Author: Timothy M. Doup
Publisher: Springer Science & Business Media
ISBN: 3642466516
Category : Business & Economics
Languages : en
Pages : 264
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Book Description
1.1. Introduction Solving systems of nonlinear equations has since long been of great interest to researchers in the field of economics, mathematics, en gineering, and many other professions. Many problems such as finding an equilibrium, a zero point, or a fixed point, can be formulated as the problem of finding a solution to a system of nonlinear equations. There are many methods to solve the nonlinear system such as Newton's method, the homotopy method, and the simplicial method. In this monograph we mainly consider the simplicial method. Traditionally, the zero point and fixed point problem have been solved by iterative methods such as Newton's method and modifications thereof. Among the difficulties which may cause an iterative method to perform inefficiently or even fail are: the lack of good starting points, slow convergence, and the lack of smoothness of the underlying function. These difficulties have been partly overcome by the introduction of homo topy methods.
Author: Francis X. Diebold
Publisher: Springer Science & Business Media
ISBN: 3642456413
Category : Business & Economics
Languages : en
Pages : 153
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Book Description
Structural exchange rate modeling has proven extremely difficult during the recent post-1973 float. The disappointment climaxed with the papers of Meese and Rogoff (1983a, 1983b), who showed that a "naive" random walk model distinctly dominated received theoretical models in terms of predictive performance for the major dollar spot rates. One purpose of this monograph is to seek the reasons for this failure by exploring the temporal behavior of seven major dollar exchange rates using nonstructural time-series methods. The Meese-Rogoff finding does not mean that exchange rates evolve as random walks; rather it simply means that the random walk is a better stochastic approximation than any of their other candidate models. In this monograph, we use optimal model specification techniques, including formal unit root tests which allow for trend, and find that all of the exchange rates studied do in fact evolve as random walks or random walks with drift (to a very close approximation). This result is consistent with efficient asset markets, and provides an explanation for the Meese-Rogoff results. Far more subtle forces are at work, however, which lead to interesting econometric problems and have implications for the measurement of exchange rate volatility and moment structure. It is shown that all exchange rates display substantial conditional heteroskedasticity. A particularly reasonable parameterization of this conditional heteroskedasticity, which captures the observed clustering of prediction error variances, is developed in Chapter 2.
