Stochastic Models, Estimation, and Control

Stochastic Models, Estimation, and Control PDF Author: Peter S. Maybeck
Publisher: Academic Press
ISBN: 0080960030
Category : Mathematics
Languages : en
Pages : 311

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Book Description
This volume builds upon the foundations set in Volumes 1 and 2. Chapter 13 introduces the basic concepts of stochastic control and dynamic programming as the fundamental means of synthesizing optimal stochastic control laws.

Stochastic Models, Estimation, and Control

Stochastic Models, Estimation, and Control PDF Author: Peter S. Maybeck
Publisher: Academic Press
ISBN: 0080960030
Category : Mathematics
Languages : en
Pages : 311

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Book Description
This volume builds upon the foundations set in Volumes 1 and 2. Chapter 13 introduces the basic concepts of stochastic control and dynamic programming as the fundamental means of synthesizing optimal stochastic control laws.

Hidden Markov Models

Hidden Markov Models PDF Author: Robert J Elliott
Publisher: Springer Science & Business Media
ISBN: 0387848541
Category : Science
Languages : en
Pages : 374

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Book Description
As more applications are found, interest in Hidden Markov Models continues to grow. Following comments and feedback from colleagues, students and other working with Hidden Markov Models the corrected 3rd printing of this volume contains clarifications, improvements and some new material, including results on smoothing for linear Gaussian dynamics. In Chapter 2 the derivation of the basic filters related to the Markov chain are each presented explicitly, rather than as special cases of one general filter. Furthermore, equations for smoothed estimates are given. The dynamics for the Kalman filter are derived as special cases of the authors’ general results and new expressions for a Kalman smoother are given. The Chapters on the control of Hidden Markov Chains are expanded and clarified. The revised Chapter 4 includes state estimation for discrete time Markov processes and Chapter 12 has a new section on robust control.

Discrete-time Stochastic Systems

Discrete-time Stochastic Systems PDF Author: Torsten Söderström
Publisher: Springer Science & Business Media
ISBN: 1447101014
Category : Mathematics
Languages : en
Pages : 387

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Book Description
This comprehensive introduction to the estimation and control of dynamic stochastic systems provides complete derivations of key results. The second edition includes improved and updated material, and a new presentation of polynomial control and new derivation of linear-quadratic-Gaussian control.

Stochastic Systems

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

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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.

Introduction to Stochastic Search and Optimization

Introduction to Stochastic Search and Optimization PDF Author: James C. Spall
Publisher: John Wiley & Sons
ISBN: 0471441902
Category : Mathematics
Languages : en
Pages : 620

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Book Description
* Unique in its survey of the range of topics. * Contains a strong, interdisciplinary format that will appeal to both students and researchers. * Features exercises and web links to software and data sets.

Stochastic Modelling of Social Processes

Stochastic Modelling of Social Processes PDF Author: Andreas Diekmann
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 362

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Book Description


An Introduction to Stochastic Modeling

An Introduction to Stochastic Modeling PDF Author: Howard M. Taylor
Publisher: Academic Press
ISBN: 1483269272
Category : Mathematics
Languages : en
Pages : 410

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Book Description
An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

Linear Stochastic Systems

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

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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 Models: Estimation and Control: v. 2

Stochastic Models: Estimation and Control: v. 2 PDF Author: Maybeck
Publisher: Academic Press
ISBN: 0080956513
Category : Mathematics
Languages : en
Pages : 307

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Book Description
Stochastic Models: Estimation and Control: v. 2

Linear Stochastic Systems

Linear Stochastic Systems PDF Author: Peter E. Caines
Publisher: SIAM
ISBN: 1611974712
Category : Mathematics
Languages : en
Pages : 892

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Book Description
Linear Stochastic Systems, originally published in 1988, is today as comprehensive a reference to the theory of linear discrete-time-parameter systems as ever. Its most outstanding feature is the unified presentation, including both input-output and state space representations of stochastic linear systems, together with their interrelationships. The author first covers the foundations of linear stochastic systems and then continues through to more sophisticated topics including the fundamentals of stochastic processes and the construction of stochastic systems; an integrated exposition of the theories of prediction, realization (modeling), parameter estimation, and control; and a presentation of stochastic adaptive control theory. Written in a clear, concise manner and accessible to graduate students, researchers, and teachers, this classic volume also includes background material to make it self-contained and has complete proofs for all the principal results of the book. Furthermore, this edition includes many corrections of errata collected over the years.