Computational Methods for Modeling of Nonlinear Systems
- Anatoli Torokhti, School of Mathematics and Statistics, University of South Australia, Mawson Lakes, SA 5095, Australia
- Phil Howlett, School of Mathematics and Statistics, University fo South Australia, Mawson Lakes, SA, Australia
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; andmethods 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 particularbranches, such as optimal filtering and information compression.
This book is intended for:Applied mathematicians and Electrical engineersAnd:Statisticians