| Optimal Control and Forecasting of Complex Dynamical Systems Contributor(s): Grigorenko, Ilya (Author) |
|
 |
ISBN: 9812566600 ISBN-13: 9789812566607 Publisher: World Scientific Publishing Company OUR PRICE: $94.05 Product Type: Hardcover - Other Formats Published: May 2006 Annotation: 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 |
| Additional Information |
| BISAC Categories: - Mathematics | Research - Mathematics | Applied |
| Dewey: 003.522 |
| LCCN: 2006281714 |
| Physical Information: 0.77" H x 6.16" W x 9.18" (1.16 lbs) 212 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |