TY  - BOOK
AU  - Grigorenko,Ilya
TI  - Optimal control and forecasting of complex dynamical systems
SN  - 9789812566607
U1  - 003.2 
PY  - 2006///
CY  - New Jersey
PB  - World Scientific
KW  - Chaotic behavior in systems
KW  - Control theory
KW  - Differentiable dynamical systems
KW  - Mathematical optimization
KW  - Mathematical physics
N1  - 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
ER  -