IOS – Using mouse from OSX host on iOS device

Actually, it looks like this may work, as noted here Share your Magic Mouse between 2 Macs. This should be able to be extended to where both the keyboard and the mouse are Bluetooth and replacing the KVM with a USB switch.

For the setup we used the following hardware:

• 1 mac mini (running 24/7 as a home server)
• 1 Mac Pro (it’s a hackintosh inside a Mac Pro case)
• 1 Apple USB Keyboard and 1 dual-link DVI Monitor
• 1 Apple Magic Mouse (Bluetooth)
• 1 Belkin Flip KVM Switch (DVI-D 2-Port)
• 1 small Bluetooth 2.0 USB dongle

I'm pretty sure you can do this with a hot-corner and the built-in VNC server. (You would need a VNC viewer for iOS, there are LOTS of them.

You could also create an applescript:
tell application "System Events" to sleep
and run it using the VNC connection.

Alternatively, you can turn on ssh, ssh in, and issue the command:
pmset sleepnow ^{_{(See the pmset man page)}}
to put the mac to sleep.

This would require a ssh client for iOS. Again, there are a LOT of them. Personally, I have used iSSH, and it works fine.

As @mankoff stated in a comment, RowMote states in it's store description:

• SLEEP AND WAKE: Put your Mac to sleep by holding the Play button for 3 seconds while controlling any Apple application, just like the hardware remote. Rowmote automatically wakes up sleeping machines which are connected via Ethernet!