Some 4-dimensional control problems :
The cart-pole (or pole balancing)
problem
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for a description of the task
The state space is:
The Acrobot
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for a description of the task
The state space is the 2 angles and their velocities
The space-shuttle
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for a description of the task
The state space is the x,y coordinates and their velocities
The ``space-shuttle'' trajectories for 3 different starting positions: