Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett (Volume 212) (Mathematics in Science and Engineering, Volume 212) - Hardcover

Torokhti, Anatoli; Howlett, Phil

Hardcover

ISBN 10: 0444530444 ISBN 13: 9780444530448

Publisher: Elsevier Science, 2007

Synopsis

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

About this title

Synopsis

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.

Edition details

• Publisher: Elsevier Science
• Publication date: 2007
• Language: English
• ISBN 10: 0444530444
• ISBN 13: 9780444530448
• Binding: Hardcover
• Number of pages: 322