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Abstract:
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Human motor control systems are complicated by issues of nonlinearity, redundancy, and
multiple degrees of freedom. A great variety of mathematical and engineering approaches
have been applied to the problem of modeling human movement systems: open and closed
loop control, dynamic optimization, internal models, and learning. In this dissertation,
aspects of these various approaches will be utilized within the context of the human eye
system. After establishing the mathematical description of ocular dynamics we shall explore
the differences between the linear system and nonlinear system, controllability, parameter
sensitivity, and the use of time optimal control as an approach to understanding neural
strategies that correspond to eye movement. In particular, optimization theory provides
one scenario for the selection process of motor planning. By the choice of appropriate cost
functions, we shall examine the cost of movement in terms of measures that correspond to
efficiency, smoothness, accuracy and duration.
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