Stochastic Systems

Stochastic Systems PDF Author: P. R. Kumar
Publisher: SIAM
ISBN: 1611974259
Category : Mathematics
Languages : en
Pages : 371

Book Description
Since its origins in the 1940s, the subject of decision making under uncertainty has grown into a diversified area with application in several branches of engineering and in those areas of the social sciences concerned with policy analysis and prescription. These approaches required a computing capacity too expensive for the time, until the ability to collect and process huge quantities of data engendered an explosion of work in the area. This book provides succinct and rigorous treatment of the foundations of stochastic control; a unified approach to filtering, estimation, prediction, and stochastic and adaptive control; and the conceptual framework necessary to understand current trends in stochastic control, data mining, machine learning, and robotics.

Stochastic Systems: The Mathematics of Filtering and Identification and Applications

Stochastic Systems: The Mathematics of Filtering and Identification and Applications PDF Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9400985460
Category : Mathematics
Languages : en
Pages : 655

Book Description
In the last five years or so there has been an important renaissance in the area of (mathematical) modeling, identification and (stochastic) control. It was the purpose of the Advanced Study Institute of which the present volume constitutes the proceedings to review recent developments in this area with par ticular emphasis on identification and filtering and to do so in such a manner that the material is accessible to a wide variety of both embryo scientists and the various breeds of established researchers to whom identification, filtering, etc. are important (such as control engineers, time series analysts, econometricians, probabilists, mathematical geologists, and various kinds of pure and applied mathematicians; all of these were represented at the ASI). For these proceedings we have taken particular care to see to it that the material presented will be understandable for a quite diverse audience. To that end we have added a fifth tutorial section (besides the four presented at the meeting) and have also included an extensive introduction which explains in detail the main problem areas and themes of these proceedings and which outlines how the various contributions fit together to form a coherent, integrated whole. The prerequisites needed to understand the material in this volume are modest and most graduate students in e. g. mathematical systems theory, applied mathematics, econo metrics or control engineering will qualify.

Linear Stochastic Systems

Linear Stochastic Systems PDF Author: Anders Lindquist
Publisher: Springer
ISBN: 3662457504
Category : Science
Languages : en
Pages : 788

Book Description
This book presents a treatise on the theory and modeling of second-order stationary processes, including an exposition on selected application areas that are important in the engineering and applied sciences. The foundational issues regarding stationary processes dealt with in the beginning of the book have a long history, starting in the 1940s with the work of Kolmogorov, Wiener, Cramér and his students, in particular Wold, and have since been refined and complemented by many others. Problems concerning the filtering and modeling of stationary random signals and systems have also been addressed and studied, fostered by the advent of modern digital computers, since the fundamental work of R.E. Kalman in the early 1960s. The book offers a unified and logically consistent view of the subject based on simple ideas from Hilbert space geometry and coordinate-free thinking. In this framework, the concepts of stochastic state space and state space modeling, based on the notion of the conditional independence of past and future flows of the relevant signals, are revealed to be fundamentally unifying ideas. The book, based on over 30 years of original research, represents a valuable contribution that will inform the fields of stochastic modeling, estimation, system identification, and time series analysis for decades to come. It also provides the mathematical tools needed to grasp and analyze the structures of algorithms in stochastic systems theory.

STOCHASTIC SYSTEMS : THE MATHEMATICS OF FILTERING AND IDENTIFICATION AND APPLICATIONS ; PROCEEDINGS OF THE NATO ADVANCED STUDY INSTITUTE HELD AT LES ARCS, SAVOIE, FRANCE, JUNE 22 - JULY 5, 1980

STOCHASTIC SYSTEMS : THE MATHEMATICS OF FILTERING AND IDENTIFICATION AND APPLICATIONS ; PROCEEDINGS OF THE NATO ADVANCED STUDY INSTITUTE HELD AT LES ARCS, SAVOIE, FRANCE, JUNE 22 - JULY 5, 1980 PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 663

Book Description


Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control and Fluid Dynamics

Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control and Fluid Dynamics PDF Author: Louis R. Hunt
Publisher:
ISBN: 9780915692378
Category : Science
Languages : en
Pages : 466

Book Description


Geometry Symposium Utrecht 1980

Geometry Symposium Utrecht 1980 PDF Author: E. Looijenga
Publisher: Springer
ISBN: 3540386416
Category : Mathematics
Languages : en
Pages : 162

Book Description


Identification and System Parameter Estimation 1982

Identification and System Parameter Estimation 1982 PDF Author: G. A. Bekey
Publisher: Elsevier
ISBN: 1483165787
Category : Technology & Engineering
Languages : en
Pages : 869

Book Description
Identification and System Parameter Estimation 1982 covers the proceedings of the Sixth International Federation of Automatic Control (IFAC) Symposium. The book also serves as a tribute to Dr. Naum S. Rajbman. The text covers issues concerning identification and estimation, such as increasing interrelationships between identification/estimation and other aspects of system theory, including control theory, signal processing, experimental design, numerical mathematics, pattern recognition, and information theory. The book also provides coverage regarding the application and problems faced by several engineering and scientific fields that use identification and estimation, such as biological systems, traffic control, geophysics, aeronautics, robotics, economics, and power systems. Researchers from all scientific fields will find this book a great reference material, since it presents topics that concern various disciplines.

Analysis and Estimation of Stochastic Mechanical Systems

Analysis and Estimation of Stochastic Mechanical Systems PDF Author: Werner Schiehlen
Publisher: Springer
ISBN: 370912820X
Category : Mathematics
Languages : en
Pages : 352

Book Description
This book summarizes the developments in stochastic analysis and estimation. It presents novel applications to practical problems in mechanical systems. The main aspects of the course are random vibrations of discrete and continuous systems, analysis of nonlinear and parametric systems, stochastic modelling of fatigue damage, parameter estimation and identification with applications to vehicle road systems and process simulations by means of autoregressive models. The contributions will be of interest to engineers and research workers in industries and universities who want first hand information on present trends and problems in this topical field of engineering dynamics.

Proceedings of the First US/Japan Conference on the Frontiers of Statistical Modeling: An Informational Approach

Proceedings of the First US/Japan Conference on the Frontiers of Statistical Modeling: An Informational Approach PDF Author: H. Bozdogan
Publisher: Springer Science & Business Media
ISBN: 9401108544
Category : Mathematics
Languages : en
Pages : 356

Book Description
These three volumes comprise the proceedings of the US/Japan Conference, held in honour of Professor H. Akaike, on the `Frontiers of Statistical Modeling: an Informational Approach'. The major theme of the conference was the implementation of statistical modeling through an informational approach to complex, real-world problems. Volume 1 contains papers which deal with the Theory and Methodology of Time Series Analysis. Volume 1 also contains the text of the Banquet talk by E. Parzen and the keynote lecture of H. Akaike. Volume 2 is devoted to the general topic of Multivariate Statistical Modeling, and Volume 3 contains the papers relating to Engineering and Scientific Applications. For all scientists whose work involves statistics.

Diffusions, Markov Processes, and Martingales: Volume 1, Foundations

Diffusions, Markov Processes, and Martingales: Volume 1, Foundations PDF Author: L. C. G. Rogers
Publisher: Cambridge University Press
ISBN: 9780521775946
Category : Mathematics
Languages : en
Pages : 412

Book Description
Now available in paperback, this celebrated book has been prepared with readers' needs in mind, remaining a systematic guide to a large part of the modern theory of Probability, whilst retaining its vitality. The authors' aim is to present the subject of Brownian motion not as a dry part of mathematical analysis, but to convey its real meaning and fascination. The opening, heuristic chapter does just this, and it is followed by a comprehensive and self-contained account of the foundations of theory of stochastic processes. Chapter 3 is a lively and readable account of the theory of Markov processes. Together with its companion volume, this book helps equip graduate students for research into a subject of great intrinsic interest and wide application in physics, biology, engineering, finance and computer science.