orthopod, neurosx, chiropracty?
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here for getting the startup/shutdown to work. Its usually a matter of hacking the power button on the laptop or hacking a docking station (which is usually preferred).
You already have a converter (DC-DC) for the laptop. So you're asking if you need an inverter for all your peripherals and the display? You can do it either way...an inverter might be easier. A carnetix power supply might also be of use to you, but it might be hard to integrate its ACPI output to your laptop application. Using a converter will require you to do a lot of wiring.
Good luck!