Video Stabilization with a DSLR

IS in a lens will not help if you are jogging. A stabilizer can help, the cost depends on the weight of camera and lens as well as the ability to stabilize in difficult situations.

Expect over $1,000 for a gyro stabilized unit. For one adopted to jogging, I'd go with a video camera that is smaller, the cost for a stabilizer will be much less. The powerful motors needed to move a heavy camera and lens quickly eat up a huge amount of power.

Example:

http://ken-lab.com/stabilizers/pricing

http://www.amazon.com/Flashpoint-ZeroGrav-2-Axis-Digital-Stabilizer/dp/B00OYQTAPW/ref=sr_1_1?s=photo&ie=UTF8&qid=1452576395&sr=1-1&keywords=gyro+stabilizer+dslr

For a Go-Pro and can be chest mounted. You can get a stabilizer for a smart phone as well.

http://www.amazon.com/Feiyu-Ultra-3-Axis-Handheld-Gimbal/dp/B00SUWMIQY/ref=sr_1_fkmr2_3?s=photo&ie=UTF8&qid=1452576686&sr=1-3-fkmr2&keywords=gyro+stabilizer+go+pro+head+mount

The handheld devices for gropro and iPhone will not be able to handle the weight of your Canon body. Ikan recently came out with one that will:

http://www.bhphotovideo.com/c/product/1200662-REG/ikan_ds1_beholder_gimbal_for.html

I use a DJI Ronin-M gimble. Its only a 3-axis so it won't stabilize up and down motion when you are walking/running. You can also stabilize in post