I haven't had time to look at the President's speech. But The Times' coverage indicates that he referred to "just war" theory - or at least he argued that is a "just war."
There's information about just war theory here, which I think is not only a compelling way to approach the ethics of engaging in any particular war, but also an intellectually elegant argument in general.
You can find a paper I wrote about Jewish ethics and war here; part of the paper explains the just war theory. Judaism has no comparable theory.
Let me know your thoughts.