Variable Structure Systems With Application To Economics And Biology
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| Author | : R. R. Mohler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 330 |
| Release | : 2012-12-06 |
| Genre | : Business & Economics |
| ISBN | : 3642474578 |
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 | : R.R. Mohler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 334 |
| Release | : 2012-12-06 |
| Genre | : Business & Economics |
| ISBN | : 3642455093 |
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 | : Antonio Ruberti |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 1975 |
| Genre | : Bilinear systems |
| ISBN | : 9780387073903 |
| Author | : |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1975 |
| Genre | : |
| ISBN | : |
| Author | : National Library of Medicine (U.S.) |
| Publisher | : |
| Total Pages | : |
| Release | : 1979 |
| Genre | : Medicine |
| ISBN | : |
First multi-year cumulation covers six years: 1965-70.
| Author | : M. Nermuth |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 246 |
| Release | : 2013-03-13 |
| Genre | : Business & Economics |
| ISBN | : 3642464475 |
This book is intended as a contribution to the theory of markets with imperfect information. The subject being nearly limitless, only certain selected topics are discussed. These are outlined in the Introduction (Ch. 0). The remainder of the book is divided into three parts. All results of economic significance are contained in Parts II & III. Part I introduces the main tools for the analysis, in particular the concept of an information structure. Although most of the material presented in Part I is not original, it is hoped that the detailed and self-contained exposition will help the reader to understand not only the following pages, but also the existing technical and variegated literature on markets with imperfect information. The mathematical prerequisites needed, but not explained in the text rarely go beyond elementary calculus and probability theory. Whenever more advanced concepts are used, I have made an effort to give an intuitive explanation as well, so that the argument can also be followed on a non-technical level (cf. e.g. the treatment of the "generic" viewpoint in Ch. 9). In the same spirit, discussion of mathematical assumptions is limited to those which have economic sig- ficance, whereas purely "technical" assumptions (like differentiability or integrability of certain functions) are usually made without comment whenever convenient. The logical interdependence of chapters is as follows: Ch. 3 . Ch. 1 /~I--=---- Ch. 4 Ch. 2 Ch. 8 ~I -=--- /"'-.... Ch.
| Author | : David Elliott |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 283 |
| Release | : 2009-09-01 |
| Genre | : Science |
| ISBN | : 1402096135 |
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 | : M. Grauer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 277 |
| Release | : 2013-03-14 |
| Genre | : Business & Economics |
| ISBN | : 3662001845 |
During the week of September 20-23, 1983, an International Workshop on Interactive Decision Analysis and Interpretative Computer Intelligence was held at the International Institute for Applied Systems Analysis (IIASA) in Laxenburg, Austria. More than fifty scientists representing seventeen coun tries participated. The aim of the Workshop was to review existing approaches to problems involving multiple conflicting objectives, to look at methods and techniques for interactive decision analysis, and to demonstrate theuse of existing interactive decision-support systems. The Workshop was motivated, firstly, by the realization that the rapid development of computers, especially microcomputers, will greatly increase the scope and capabilities of computerized decision-support systems. It is important to explore the potential of these systems for use in handling the complex technological, environmental, economic and social problems thatface the world today. Research in decision-support systems also has another, less tangible but possibly more important, motivation. The development of efficient sys tems for decision support requires a thorough understanding of the dif ferences between the decision-making processes in different nations and cultures. An understanding of the different rationales underlying decision making is not only necessary for the development of efficient decision support systems, but is also an important factor in encouraging inter national understanding and cooperation.
| Author | : Tamer Başar |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 308 |
| Release | : 1986-03 |
| Genre | : Business & Economics |
| ISBN | : 9783540164357 |
This volume contains eleven articles which deal with different aspects of dynaoic and differential game theory and its applications in economic modeling and decision making. All but one of these were presented as invited papers in special sessions I organized at the 7th Annual Conference on Economic Dynamics and Control in London, England, during the period June 26-28, 1985. The first article, which comprises Chapter 1, provides a general introduction to the topic of dynamic and differential game theory, discusses various noncooperative equilibrium solution concepts, includ ing Nash, Stackelberg, and Consistent Conjectural Variations equilibria, and a number of issues such as feedback and time-consistency. The second chapter deals with the role of information in Nash equilibria and the role of leadership in Stackelberg problems. A special type of a Stackelberg problem is the one in which one dominant player (leader) acquires dynamic information involving the actions of the others (followers), and constructs policies (so-called incentives) which enforce a certain type of behavior on the followers; Chapter 3 deals with such a class of problems and presents some new theoretical results on the existence of affine incentive policies. The topic of Chapter 4 is the computation of equilibria in discounted stochastic dynamic games. Here, for problems with finite state and decision spaces, existing algorithms are reviewed, with a comparative study of their speeds of convergence, and a new algorithm for the computation of nonzero-sum game equilibria is presented.
| Author | : R. Sato |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 206 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642483275 |
The essays in this volume were presented to Professor Isamu Yamada in honor of his seventy-third birthday. In view of his many professional contributions and associations, a single volume of essays is really insufficient to house the works of all those who wish to be part of a venture of this kind. Therefore, the editors would like to apologize to those friends and well-wishers of Professor Yamada who could not be accommodated in this volume. Born in Nagoya in 1909, Professor Yamada began his brilliant career at Nagoya Commercial College where he studied economics, statistics, mathematics and physics. After serving as a Professor of Economics and Statistics at Yokohama College between 1939-1940, Professor Yamada moved to Hitotsubashi University in Tokyo, where he served as a Professor of Econometrics until his retirement in 1973. Currently, he is teaching at Asia University as a Professor of Economics and Statistics. During his long tenure at Hitotsubashi University (where Professor Ichiro Nakayama, a "Japanese Schumpeter", served as President of the University), Professor Yamada was instrumental in introducing several generation of students to the methods of modern econometrics. One of the editors (Ryuzo Sato) of this volume is a direct beneficiary of his lectures on modern econometric techniques. In the 1950's, Professor Yamada was one of several prominent Japanese economists who were selected for study abroad. It was during this time, on a visit to the Cowles Commission at the University of Chicago, that Professor Yamada met the other editor of this volume.
