Image stabilization goes by many different names. In nikon cameras its called vibration reduction whereas on canon calls it image stabilization. With sigma lenses it’s optical stabilization, and tamron calls it vibration compensation. No matter what its called, it works in the same way. When engaged a system of electromagnets move internal glass elements creating an elastic suspension system so the glass can absorb camera shake, thus making the video both sharper and smooth.
Lens stabilization does a very good job at smoothing out small, jittery motion typically caused when handholding the camera. Is is harder to find on high quality, wider-angle lenses. However, some lower priced consumer zoom lenses tend to have is built in, where many higher-end models don’t.
Some lenses like macro lenses have 2 modes of stabilization, mode 1 or 2, the main difference is that number 2 only uses vertical stabilization. Due note, digital stabilization doesn't work the same way and unless in an extreme situation, should be stayed away from. Digital is works by boosting the camera's sensitivity with its iso, because it takes the control out of the user's hands and has the ability to introduce unwanted grain into your shot, digital is isn’t optimal.
Image stabilization needs power to work, so the camera battery won’t last as long.
However, is might be able to be turned on and off.
Knowing if a lens offers image stabilization, what kind of is it has and how it works, as well that you should refrain from using digital is, will help you when making your next lens selection.