Optimization in Control and Learning in Coupled Map Lattice Systems

S. P. Nair (), P. M. Pardalos and V. A. Yatsenko
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S. P. Nair: University of Florida
P. M. Pardalos: University of Florida
V. A. Yatsenko: Institute of Space Research

Journal of Optimization Theory and Applications, 2007, vol. 134, issue 3, No 11, 533-547

Abstract: 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.

Keywords: Optimization; Control; Lyapunov exponents; Brain dynamics; Seizure; Lattice systems (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10957-007-9257-2

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