How is the circulatory system controlled (i. e. hormonally, neurally) ?

Neurally

Explanation:

Cardiac regulation is controlled neurally. The nervous systems receive signals regarding the condition of the circulatory system. Different receptors receive different type of signals. For example, the baroreceptors, receive information about the blood pressure, the chemoreceptors sends and codify information about the CO2, O2 and PH concentration in the bloodstream.

All of these signals are processed and analyzed by a group of neurons in the spinal bulb in the brain. This particular region of the brain, produces signals that travel trough neurons until the nerve supply of the heart and the smooth muscles (of veins and arterioles) to control the blood pressure and cardiac output.