The binding for switching between combat and analysis mode is under mode switches in controls.
You will also need to bind some things to operate FSS and DSS. Those are the last two sections in the controls options.
You need to bind a button/key to enter and exit FSS screen plus movement and tuning controls.
DSS can be activated by putting it into a firegroup and "firing it" and exited by your standard "menu back/exit" button (by default it the same button as secondary trigger)
For DSS you only need to bind movement keys (yaw and pitch) and a button to fire probes.