Abnormal function in the areas of the brain 
Eye movements are controlled by muscles innervated by cranial nerves III, IV and VI. In this chapter, the testing of these cranial nerves will be discussed. The most common symptom of damage to these nerves is double vision. Considerations. The involuntary eye movements of nystagmus are caused by abnormal function in the areas of the brain that control eye movements. The part of the inner ear that senses movement and position (the labyrinth) helps The central control of eye movement can be distilled into the principle types of functions. These include voluntary, conjugate horizontal gaze (looking side-to-side); voluntary, conjugate vertical gaze (looking up and down); smoothly tracking objects; convergence; and eye movements resulting from head movements. Pons. A deep part of the brain, located in the brainstem, the pons contains many of the control areas for eye and face movements. Medulla. The lowest part of the brainstem, the medulla is the most vital part of the entire brain and contains important control centers for the heart and lungs. Spinal cord. Best Answer: The decussation is important in the control of the eye, but it's not as simple as right eye, left brain and vice versa. The visual pathway from the retina to the brain depends more on the visual field than which eye is receiving the visual information. Summary. The first of these two papers concentrated on the muscles moving the eyes and their mechanics. 1 The purpose of this second paper is to give an outline of the physiology of the brain’s control of eye movements as an outstanding example of a biological computerised control system. Many of the neural circuits that generate the precise control of these two eye movement systems are found in the central core of the brain stem. The organization of these brain stem circuits is reviewed here with the use of schematic summaries that outline the control principles and the neural groups involved.
http://www.dartmouth.edu/~dons/part_1/chapter_4.html https://www.nlm.nih.gov/medlineplus/ency/article/003037.htm http://www.dartmouth.edu/~dons/part_1/chapter_4.html http://www.hopkinsmedicine.org/healthlibrary/conditions/nervous_system_disorders/anatomy_of_the_brain_85,P00773/ https://answers.yahoo.com/question/index?qid=20080705215047AA2IEyE https://answersingenesis.org/human-body/eyes/our-eye-movements-and-their-control-part-2/ http://www.sciencedirect.com/science/article/pii/B9780080450469010895
where in the brain are eye movements controlled