Hi, Neil,
Unfortunately, neither Android nor iOS devices can be remotely controlled without jailbreaking. There are some companies that have consoles that can "push" changes to a mobile device and provide some support that way, but as of right now, neither Apple nor Google will allow their devices to be controlled like a computer.
The ScreenConnect app, on iOS or Android, will only be able to control other machines, not mobile devices.
ScreenConnect Team