Dynamic tab names in HTML5

We have customers who administer more than one company.

If they start the same application for five different companies and the applications are running under a single browser tab, they cannot easily tell the different sessions apart.

Alternatively, if they log in five times and open each application in a separate browser tab, all the tabs are labeled "HTML5", which makes it difficult to identify which company each tab belongs to.

Would it be possible to dynamically set the browser tab name, for example based on the company currently running in the application?

Ideally, we would like to be able to set the tab name from within the application itself.