In this video from Cal Thomson, he shows you how to create a hyperlaspe using a DSLR and tripod. The hyperlapse effect was recently made popular as an application from Instagram. The mobile Hyperlapse app takes care of the image stabilization automatically.
In order to stabilize a hyperlapse you have created from your DSLR, however, you have to perform stabilization in post production using tools like warp stabilizer in After Effects, which Thomson covers in the above video.