Hybrid and Off-Grid solutions consist of solar panels, batteries for storage and a invertor. Hybrid systems power most of your house and uses municipal supply to power the balance.
Grid Tied systems consist of only 2 key components, Solar panels and a dedicated Grid Tied invertor. This goes in conjustion with your municipal supply to reduce your load on the grid.
Battery backup systems run an inverter, which is wired into your db board and a battery bank to store the power. When municipal supply goes down your house stays powered. The batteries are charged via the grid.