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Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett

  • 1st Edition, Volume 212 - March 2, 2007
  • Authors: Anatoli Torokhti, Phil Howlett
  • Language: English
  • Hardback ISBN:
    9 7 8 - 0 - 4 4 4 - 5 3 0 4 4 - 8
  • eBook ISBN:
    9 7 8 - 0 - 0 8 - 0 4 7 5 3 8 - 7

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, su… Read more

Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett

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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.