Optimal Control Strategies for Saccadic Eye Movements in Humans

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2010-12

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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. v

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