Optimal Control And Forecasting Of Complex Dynamical Systems
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A01=Ilya Grigorenko
Author_Ilya Grigorenko
Category=PBKJ
Complex Dynamical Systems
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Forecasting
Fractional Derivatives
Generic Algorithms
Optimal Control
Quantum Computer
Product details
- ISBN 9789812566607
- Publication Date: 07 Mar 2006
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
