Iterative control strategies for nonlinear systems.

Authors: 
Forte, G., and D. C. Vural
Citation: 
Physical Review E 96.1 (2017): 012102
Publication Date: 
July, 2017

In this paper, we focus on the control of the mean-field equilibrium of nonlinear networks of the Langevin type in the limit of small noise. Using iterative linear approximations, we derive a formula that prescribes a control strategy in order to displace the equilibrium state of a given system and remarkably find that the control function has a “universal” form under certain physical conditions. This result can be employed to define universal protocols useful, for example, in the optimal work extraction from a given reservoir. Generalizations and limits of application of the method are discussed.