Tag: Deterministic

Free Download Notes on Consumption Theory: Deterministic and Stochastic Dynamic Models (Classroom Companion: Economics) by Giuseppe Travaglini, Giorgio Calcagnini, Alessandro Bellocchi
English | April 5, 2024 | ISBN: 3031549856 | 161 pages | MOBI | 17 Mb
This textbook offers a compact, yet formal, synthesis of the broad field of consumption theory. Written in a coherent and accessible way, this book introduces graduate and postgraduate students to dynamic optimization applied to consumption under certainty and uncertainty, in discrete and continuous time. Delving into deterministic and stochastic models, including the use of Brownian motions, the book offers a deeper understanding of consumption decisions and their impact on asset pricing and investment in partial and general equilibrium.

Free Download Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control By Boris S. Mordukhovich, Hector J. Sussmann (eds.)
1996 | 246 Pages | ISBN: 1461384915 | PDF | 22 MB
This IMA Volume in Mathematics and its Applications NONSMOOTH ANALYSIS AND GEOMETRIC METHODS IN DETERMINISTIC OPTIMAL CONTROL is based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on "Control Theory. " The purpose of this workshop was to concentrate on powerful mathematical techniques that have been de veloped in deterministic optimal control theory after the basic foundations of the theory (existence theorems, maximum principle, dynamic program ming, sufficiency theorems for sufficiently smooth fields of extremals) were laid out in the 1960s. These advanced techniques make it possible to derive much more detailed information about the structure of solutions than could be obtained in the past, and they support new algorithmic approaches to the calculation of such solutions. We thank Boris S. Mordukhovich and Hector J. Sussmann for organiz ing the workshop and editing the proceedings. We also take this oppor tunity to thank the National Science Foundation and the Army Research Office, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. v PREFACE This volume contains the proceedings of the workshop on Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control held at the Institute for Mathematics and its Applications on February 8-17, 1993 during a special year devoted to Control Theory and its Applications. The workshop-whose organizing committee consisted of V. J urdjevic, B. S. Mordukhovich, R. T. Rockafellar, and H. J.

Free Download Stochastic versus Deterministic Systems of Iterative Processes
English | 2024 | ISBN: 9811287473 | 355 Pages | PDF (True) | 5 MB
Continuous state dynamic models can be reformulated into discrete state processes. This process generates numerical schemes that lead theoretical iterative schemes. This type of method of stochastic modelling generates three basic problems. First, the fundamental properties of solution, namely, existence, uniqueness, measurability, continuous dependence on system parameters depend on mode of convergence. Second, the basic probabilistic and statistical properties, namely, the behavior of mean, variance, moments of solutions are described as qualitative/quantitative properties of solution process. We observe that the nature of probability distribution or density functions possess the qualitative/quantitative properties of iterative prosses as a special case. Finally, deterministic versus stochastic modelling of dynamic processes is to what extent the stochastic mathematical model differs from the corresponding deterministic model in the absence of random disturbances or fluctuations and uncertainties.

Free Download Network Calculus: A Theory of Deterministic Queuing Systems for the Internet by Jean-Yves Boudec, Patrick Thiran
English | PDF (True) | 2001 | 280 Pages | ISBN : 354042184X | 4.2 MB
Network Calculus is a set of recent developments that provide deep insights into flow problems encountered in the Internet and in intranets. The first part of the book is a self-contained, introductory course on network calculus. It presents the core of network calculus, and shows how it can be applied to the Internet to obtain results that have physical interpretations of practical importance to network engineers. The second part serves as a mathematical reference used across the book. It presents the results from Min-plus algebra needed for network calculus. The third part contains more advanced material. It is appropriate reading for a graduate course and a source of reference for professionals in networking by surveying the state of the art of research and pointing to open problems in network calculus and its application in different fields, such as mulitmedia smoothing, aggegate scheduling, adaptive guarantees in Internet differential services, renegotiated reserved services, etc.

Free Download Deterministic Nonlinear Systems: A Short Course by Vadim S. Anishchenko , Tatyana E. Vadivasova , Galina I. Strelkova
English | PDF (True) | 2014 | 300 Pages | ISBN : 3319068709 | 13 MB
This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems.

Free Download Deterministic Chaos in General Relativity by David Hobill, Adrian Burd, Alan Coley
English | PDF | 1994 | 472 Pages | ISBN : 0306448114 | 47.7 MB
Nonlinear dynamical systems play an important role in a number of disciplines. The physical, biological, economic and even sociological worlds are comprised of com plex nonlinear systems that cannot be broken down into the behavior of their con stituents and then reassembled to form the whole. The lack of a superposition principle in such systems has challenged researchers to use a variety of analytic and numerical methods in attempts to understand the interesting nonlinear interactions that occur in the World around us. General relativity is a nonlinear dynamical theory par excellence. Only recently has the nonlinear evolution of the gravitational field described by the theory been tackled through the use of methods used in other disciplines to study the importance of time dependent nonlinearities. The complexity of the equations of general relativity has been (and still remains) a major hurdle in the formulation of concrete mathematical concepts. In the past the imposition of a high degree of symmetry has allowed the construction of exact solutions to the Einstein equations. However, most of those solutions are nonphysical and of those that do have a physical significance, many are often highly idealized or time independent.

Free Download Infinite Horizon Optimal Control: Deterministic and Stochastic Systems by Infinite Horizon Optimal Control: Deterministic and Stochastic Systems
English | PDF | 1991 | 345 Pages | ISBN : 3642767575 | 22.8 MB
This monograph deals with various classes of deterministic and stochastic continuous time optimal control problems that are defined over unbounded time intervals. For these problems the performance criterion is described by an improper integral and it is possible that, when evaluated at a given admissible element, this criterion is unbounded. To cope with this divergence new optimality concepts, referred to here as overtaking optimality, weakly overtaking optimality, agreeable plans, etc. , have been proposed. The motivation for studying these problems arises primarily from the economic and biological sciences where models of this type arise naturally. Indeed, any bound placed on the time hori zon is artificial when one considers the evolution of the state of an economy or species. The responsibility for the introduction of this interesting class of problems rests with the economists who first studied them in the modeling of capital accumulation processes. Perhaps the earliest of these was F. Ramsey [152] who, in his seminal work on the theory of saving in 1928, considered a dynamic optimization model defined on an infinite time horizon. Briefly, this problem can be described as a Lagrange problem with unbounded time interval. The advent of modern control theory, particularly the formulation of the famous Maximum Principle of Pontryagin, has had a considerable impact on the treat ment of these models as well as optimization theory in general.

Free Download Deterministic and Stochastic Optimal Control by Wendell Fleming , Raymond Rishel
English | PDF | 1975 | 231 Pages | ISBN : 0387901558 | 19.8 MB
This book may be regarded as consisting of two parts. In Chapters I-IV we pre sent what we regard as essential topics in an introduction to deterministic optimal control theory. This material has been used by the authors for one semester graduate-level courses at Brown University and the University of Kentucky. The simplest problem in calculus of variations is taken as the point of departure, in Chapter I. Chapters II, III, and IV deal with necessary conditions for an opti mum, existence and regularity theorems for optimal controls, and the method of dynamic programming. The beginning reader may find it useful first to learn the main results, corollaries, and examples. These tend to be found in the earlier parts of each chapter. We have deliberately postponed some difficult technical proofs to later parts of these chapters. In the second part of the book we give an introduction to stochastic optimal control for Markov diffusion processes. Our treatment follows the dynamic pro gramming method, and depends on the intimate relationship between second order partial differential equations of parabolic type and stochastic differential equations. This relationship is reviewed in Chapter V, which may be read inde pendently of Chapters I-IV. Chapter VI is based to a considerable extent on the authors’ work in stochastic control since 1961. It also includes two other topics important for applications, namely, the solution to the stochastic linear regulator and the separation principle.

Free Download Fractional Deterministic and Stochastic Calculus
by Giacomo Ascione, Yuliya Mishura, Enrica Pirozzi
English | 2024 | ISBN: 3110779811 | 462 pages | True PDF EPUB | 81.11 MB

Free Download Deterministic and Stochastic Modeling in Computational Electromagnetics
by Poljak, Dragan;Susnjara, Anna;
English | 2023 | ISBN: 1119989248 | 576 pages | True PDF | 45.77 MB