Enrico Rossoni and Jianfeng Feng

Abstract: In a noisy system such as the nervous system, can movements be precisely controlled as experimentally demonstrated in [1]? We point out that the existing theory of motor control [2] fails to provide viable solutions. However, by adopting a generalized approach to non- convex optimization based on Young measures theory [3], we demonstrate that a precise moment control is possible even with stochastic control signals.

 

Refences:

[1] Osborne LC, Lisberger SG and Bialek W (2005), Time course of information about motion direction in visual area MT, Nature 437:412-416.
[2] Harris CM and Wolpert DM (1998) Signal-dependent noise determines motor planning, Nature 394:780-784.
[3] Valadier M (1990), Young measures, Methods of Nonconvex Analysis, Lecture Notes Math., 1446, Springer-verlag: Berlin, 152–188.