Optimization in Control and Learning in Coupled Map Lattice Systems |
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| Authors: | S P Nair P M Pardalos V A Yatsenko |
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| Institution: | (1) Department Biomedical Engineering, University of Florida, Gainesville, FL, USA;(2) Department Industrial and Systems Engineering, University of Florida, Gainesville, FL, USA;(3) Department of Space Plasma, Institute of Space Research, Kiev, Ukraine |
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| Abstract: | In this paper, we analyze various control algorithms that have been proposed for controlling spatiotemporal chaos in a globally
coupled map lattice (CML) system. We reformulate the choice of feedback parameters in such systems as a constrained optimization
problem and provide numerical and experimental results on the choice of optimal parameters for controlling the mean global
Lyapunov exponent of a lattice. Finally, we propose a scheme to use this optimization technique to solve a learning problem
in which such a CML system can be used to emulate the dynamics of an epileptic brain.
This work was supported by NIH-NIBIB and CRDF grants. |
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| Keywords: | Optimization Control Lyapunov exponents Brain dynamics Seizure Lattice systems |
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