Stability by Liapunov's Direct Method with Applications by Joseph L Salle and Solomon Lefschetz (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Elsevier Science & Techn.
• Seitenzahl: 322
• Erscheinungstermin: 25. Januar 2012
• Englisch
• ISBN-13: 9780080955124
• Artikelnr.: 38122760