Random Processes in Automatic Control

Random Processes in Automatic Control

Author: J. Halcombe Laning

Publisher:

Published: 1956

Total Pages: 456

ISBN-13:

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Book Synopsis Random Processes in Automatic Control by : J. Halcombe Laning

Download or read book Random Processes in Automatic Control written by J. Halcombe Laning and published by . This book was released on 1956 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Random Processes in Nonlinear Control Systems by A A Pervozvanskii

Random Processes in Nonlinear Control Systems by A A Pervozvanskii

Author: A. A. Pervozvanskii

Publisher: Elsevier

Published: 1965-01-01

Total Pages: 322

ISBN-13: 9780080955216

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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering


Book Synopsis Random Processes in Nonlinear Control Systems by A A Pervozvanskii by : A. A. Pervozvanskii

Download or read book Random Processes in Nonlinear Control Systems by A A Pervozvanskii written by A. A. Pervozvanskii and published by Elsevier. This book was released on 1965-01-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering


Random Processes in Automatic Control

Random Processes in Automatic Control

Author: J. Halcombe Laning

Publisher:

Published: 1956

Total Pages: 456

ISBN-13:

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Book Synopsis Random Processes in Automatic Control by : J. Halcombe Laning

Download or read book Random Processes in Automatic Control written by J. Halcombe Laning and published by . This book was released on 1956 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Stochastic Processes and Filtering Theory

Stochastic Processes and Filtering Theory

Author: Andrew H. Jazwinski

Publisher: Courier Corporation

Published: 2013-04-15

Total Pages: 404

ISBN-13: 0486318192

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This unified treatment of linear and nonlinear filtering theory presents material previously available only in journals, and in terms accessible to engineering students. Its sole prerequisites are advanced calculus, the theory of ordinary differential equations, and matrix analysis. Although theory is emphasized, the text discusses numerous practical applications as well. Taking the state-space approach to filtering, this text models dynamical systems by finite-dimensional Markov processes, outputs of stochastic difference, and differential equations. Starting with background material on probability theory and stochastic processes, the author introduces and defines the problems of filtering, prediction, and smoothing. He presents the mathematical solutions to nonlinear filtering problems, and he specializes the nonlinear theory to linear problems. The final chapters deal with applications, addressing the development of approximate nonlinear filters, and presenting a critical analysis of their performance.


Book Synopsis Stochastic Processes and Filtering Theory by : Andrew H. Jazwinski

Download or read book Stochastic Processes and Filtering Theory written by Andrew H. Jazwinski and published by Courier Corporation. This book was released on 2013-04-15 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified treatment of linear and nonlinear filtering theory presents material previously available only in journals, and in terms accessible to engineering students. Its sole prerequisites are advanced calculus, the theory of ordinary differential equations, and matrix analysis. Although theory is emphasized, the text discusses numerous practical applications as well. Taking the state-space approach to filtering, this text models dynamical systems by finite-dimensional Markov processes, outputs of stochastic difference, and differential equations. Starting with background material on probability theory and stochastic processes, the author introduces and defines the problems of filtering, prediction, and smoothing. He presents the mathematical solutions to nonlinear filtering problems, and he specializes the nonlinear theory to linear problems. The final chapters deal with applications, addressing the development of approximate nonlinear filters, and presenting a critical analysis of their performance.


Statistics of Random Processes II

Statistics of Random Processes II

Author: R.S. Liptser

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 348

ISBN-13: 1475742932

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Book Synopsis Statistics of Random Processes II by : R.S. Liptser

Download or read book Statistics of Random Processes II written by R.S. Liptser and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Statistics of Random Processes I

Statistics of Random Processes I

Author: R.S. Liptser

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 405

ISBN-13: 1475716656

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A considerable number of problems in the statistics of random processes are formulated within the following scheme. On a certain probability space (Q, ff, P) a partially observable random process (lJ,~) = (lJ ~/), t :;::-: 0, is given with only the second component n ~ = (~/), t:;::-: 0, observed. At any time t it is required, based on ~h = g., ° s sst}, to estimate the unobservable state lJ/. This problem of estimating (in other words, the filtering problem) 0/ from ~h will be discussed in this book. It is well known that if M(lJ;)


Book Synopsis Statistics of Random Processes I by : R.S. Liptser

Download or read book Statistics of Random Processes I written by R.S. Liptser and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: A considerable number of problems in the statistics of random processes are formulated within the following scheme. On a certain probability space (Q, ff, P) a partially observable random process (lJ,~) = (lJ ~/), t :;::-: 0, is given with only the second component n ~ = (~/), t:;::-: 0, observed. At any time t it is required, based on ~h = g., ° s sst}, to estimate the unobservable state lJ/. This problem of estimating (in other words, the filtering problem) 0/ from ~h will be discussed in this book. It is well known that if M(lJ;)


Digital Simulation of a Gaussian Random Process Having an Exponential Autocorrelation Function

Digital Simulation of a Gaussian Random Process Having an Exponential Autocorrelation Function

Author: D. K. Bowser

Publisher:

Published: 1967

Total Pages: 56

ISBN-13:

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The digital simulation of terrain or longitudinal gust profiles is shown to be practical. Its use as input to an overall system simulation has reasonable promise of success. With the tools developed in this report, the user has at his disposal a means of determining what is a reasonable choice for the numerical integration increment and what is a sufficient sample length in a statistical sense.


Book Synopsis Digital Simulation of a Gaussian Random Process Having an Exponential Autocorrelation Function by : D. K. Bowser

Download or read book Digital Simulation of a Gaussian Random Process Having an Exponential Autocorrelation Function written by D. K. Bowser and published by . This book was released on 1967 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: The digital simulation of terrain or longitudinal gust profiles is shown to be practical. Its use as input to an overall system simulation has reasonable promise of success. With the tools developed in this report, the user has at his disposal a means of determining what is a reasonable choice for the numerical integration increment and what is a sufficient sample length in a statistical sense.


Random Functions and Turbulence

Random Functions and Turbulence

Author: S. Panchev

Publisher: Elsevier

Published: 2016-10-27

Total Pages: 459

ISBN-13: 148314559X

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International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random processes; influence of finiteness of the interval of averaging; scalar and vector random fields; and statistical moments. The text takes a look at the statistical theory of turbulence. Topics include turbulence with very large Reynolds numbers; emergence of turbulent motion; and energy spectrum in isothermal turbulent shear flow. The book also discusses small-scale and large-scale atmospheric turbulence and applications to numerical weather analysis and prediction. The manuscript is a vital source of data for readers interested in random theory.


Book Synopsis Random Functions and Turbulence by : S. Panchev

Download or read book Random Functions and Turbulence written by S. Panchev and published by Elsevier. This book was released on 2016-10-27 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random processes; influence of finiteness of the interval of averaging; scalar and vector random fields; and statistical moments. The text takes a look at the statistical theory of turbulence. Topics include turbulence with very large Reynolds numbers; emergence of turbulent motion; and energy spectrum in isothermal turbulent shear flow. The book also discusses small-scale and large-scale atmospheric turbulence and applications to numerical weather analysis and prediction. The manuscript is a vital source of data for readers interested in random theory.


USSR Scientific Abstracts: Cybernetics, Computers and Automation Technology

USSR Scientific Abstracts: Cybernetics, Computers and Automation Technology

Author:

Publisher:

Published: 1966

Total Pages: 768

ISBN-13:

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Book Synopsis USSR Scientific Abstracts: Cybernetics, Computers and Automation Technology by :

Download or read book USSR Scientific Abstracts: Cybernetics, Computers and Automation Technology written by and published by . This book was released on 1966 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt:


An Introduction to Probability and Stochastic Processes

An Introduction to Probability and Stochastic Processes

Author: James L. Melsa

Publisher: Courier Corporation

Published: 2013-09-18

Total Pages: 416

ISBN-13: 0486315959

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Detailed coverage of probability theory, random variables and their functions, stochastic processes, linear system response to stochastic processes, Gaussian and Markov processes, and stochastic differential equations. 1973 edition.


Book Synopsis An Introduction to Probability and Stochastic Processes by : James L. Melsa

Download or read book An Introduction to Probability and Stochastic Processes written by James L. Melsa and published by Courier Corporation. This book was released on 2013-09-18 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed coverage of probability theory, random variables and their functions, stochastic processes, linear system response to stochastic processes, Gaussian and Markov processes, and stochastic differential equations. 1973 edition.