ENGLISH

Optimal control and forecasting of complex dynamical systems

By Ilya Grigorenko

Book information

Publisher
World Scientific
Year
2006
ISBN
9812566600, 9789812566607
Open Library ID
OL9197443M
Language
english
Format
DJVU
Filesize
2 MB (1788763 bytes)
Pages
213\213
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26
Автоматизация;Теория автоматического управления (Т

Description

This important book reviews applications of optimization and optimal control theory to modern problems in physics, nano-science and finance. The theory presented here can be efficiently applied to various problems, such as the determination of the optimal shape of a laser pulse to induce certain excitations in quantum systems, the optimal design of nanostructured materials and devices, or the control of chaotic systems and minimization of the forecast error for a given forecasting model (for example, artificial neural networks). Starting from a brief review of the history of variational calculus, the book discusses optimal control theory and global optimization using modern numerical techniques. Key elements of chaos theory and basics of fractional derivatives, which are useful in control and forecast of complex dynamical systems, are presented. The coverage includes several interdisciplinary problems to demonstrate the efficiency of the presented algorithms, and different methods of forecasting complex dynamics are discussed.

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