This signifies that your controller has paired and connected successfully. Press the PS Button on your controller for a moment, and the light should flash briefly before turning blue. Related: Understand USB Cable Types and Which One to Use Make sure you're using a high-quality cable that you know works properly.
To do this, connect your controller to your PS4 using a micro-USB cable. You'll need to re-pair your DualShock 4 with your own PS4 in these cases. For instance, if you pair your PS4 controller with your PC or a friend's console, it will remember that device going forward.
This usually happens if you've used your DualShock 4 with another device.