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- catalog abstract "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 and its particular branches, such as optimal filtering and information compression.".
- catalog alternative "Programmation dynamique et ses applications. English".
- catalog contributor b9691436.
- catalog contributor b9691437.
- catalog contributor b9691438.
- catalog contributor b9691439.
- catalog created "1971.".
- catalog date "1971".
- catalog date "1971.".
- catalog dateCopyrighted "1971.".
- catalog description "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 and its particular branches, such as optimal filtering and information compression.".
- catalog description "Includes bibliographical references.".
- catalog description "pt. I. Discrete deterministic processes. The principles of dynamic programming -- Processes with bounded horizon -- Processes with infinite or unspecified horizon -- Practical solution of the optimal recurrence relation -- pt. II. Discrete random processes. General theory -- Processes with discrete states -- pt. III. Numerical synthesis of the optimal controller for a linear process. General discussion of the problem -- Numerical optimal control of a measurable deterministic process -- Numerical optimal control of a stochastic process -- pt. IV. Continuous processes. Continuous deterministic processes -- Continuous stochastic processes -- pt. V. Applications. Introductory example -- Minimum use of control effort in a first-order system -- Optimal tabulation of functions -- Regulation of angular position with minimization of a quadratic criterion -- Control of a stochastic system -- Minimum-time depth change of a submersible vehicle -- Optimal interception -- Control of a continuous process -- Filtering.".
- catalog extent "xiv, 252 p.".
- catalog isPartOf "Mathematics in science and engineering, v. 81".
- catalog issued "1971".
- catalog issued "1971.".
- catalog language "eng".
- catalog language "engfre".
- catalog publisher "New York, Academic Press,".
- catalog subject "629.8/312".
- catalog subject "Control theory.".
- catalog subject "Dynamic programming.".
- catalog subject "QA402.3 .B67134 1971".
- catalog tableOfContents "pt. I. Discrete deterministic processes. The principles of dynamic programming -- Processes with bounded horizon -- Processes with infinite or unspecified horizon -- Practical solution of the optimal recurrence relation -- pt. II. Discrete random processes. General theory -- Processes with discrete states -- pt. III. Numerical synthesis of the optimal controller for a linear process. General discussion of the problem -- Numerical optimal control of a measurable deterministic process -- Numerical optimal control of a stochastic process -- pt. IV. Continuous processes. Continuous deterministic processes -- Continuous stochastic processes -- pt. V. Applications. Introductory example -- Minimum use of control effort in a first-order system -- Optimal tabulation of functions -- Regulation of angular position with minimization of a quadratic criterion -- Control of a stochastic system -- Minimum-time depth change of a submersible vehicle -- Optimal interception -- Control of a continuous process -- Filtering.".
- catalog title "Dynamic programming and its application to optimal control [by] R. Boudarel, J. Delmas [and] P. Guichet. Translated by R. N. McDonough.".
- catalog title "Programmation dynamique et ses applications. English".
- catalog type "text".