Optimal Control and Forecasting of Complex Dynamical Systems

Ilya Grigorenko

ISBN 10: 9812566600 / ISBN 13: 9789812566607

Published by World Scientific Publishing Company Mai 2006, 2006

About this Item

Neuware - 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 f.

Seller Inventory # 9789812566607

Bibliographic Details

• Title: Optimal Control and Forecasting of Complex Dynamical Systems
• Publisher: World Scientific Publishing Company Mai 2006
• Publication Date: 2006
• Language: English
• ISBN 10: 9812566600
• ISBN 13: 9789812566607
• Binding: Buch
• Condition: Neu
• Dimensions: 233W x 156H x 20D millimeters 233 millimeters width by 156 millimeters height by 20 millimeters depth
• Weight: 526 grams

About this title

Synopsis

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.