How to Force Update of All InDesign Links (Even Ones It Thinks Are Current)?

I'm working on an InDesign document that makes extensive use of linked Illustrator graphics. Many of these Illustrator graphics themselves make use of placed png images.

The problem I've run into is that if I update a png for one of the Illustrator graphics, InDesign doesn't pick up the associated change (because the .ai file doesn't think it has changed either). The only way to get the updates to cascade through is to open the .ai file, make and undo a trivial change, and then save.

Is there a way that I can tell InDesign to thoroughly update all links, regardless of whether the file stamp says a file has changed or not?