generally, a power cable provides power and a control cable provides control signals (turn on, off, change channels, etc.). The cables themselves are pretty much the same - copper wire. However, depending on the interface, a cable can provide both power and control, for example USB.
Sorry, but what is the context? It's difficult to answer without more detail.
Control cables as their name suggests, send signals to control the functioning of an equipment. Belonging to the family of instrumentation cables, these cables allow distribution of data or signals that have low voltage. Designed specifically for automation controls, these cables have a copper conductor, which is enveloped in galvanized steel braid. Usually used for regions that require less than one ampere, these cables can carry signals up to 40 volts. These cables usually bear a PVC insulation that protects them from impacts and harsh climatic conditions. Power cables are cables, which transfer both high energy and low energy from the source to the equipments. Specifically designed to best suit active and neutral environment, these cables bear a thick outer sheath compared to ordinary Control cables. The external sheath of the Power cables with its immense strength and protection enables the cables to transfer high volume of energy without any tension or strain. Unlike Control cables, Power cables often have a unique colour code system that distinguishes the high voltage carriers from their low voltage counterparts.
