The song "Since U Been Gone" was written by Swedish songwriter Max Martin and American producer Lukasz Gottwald, better known as Dr. Luke. It was originally written for the singer Pink, but she turned it down. The song was then offered to Hilary Duff, who also rejected it, before it was eventually given to Kelly Clarkson, who made some changes to make it more rock-oriented before releasing it as a hit single.
There is also a different song titled "Since You Been Gone," written by Russ Ballard and first released in 1976, which was notably covered by the band Rainbow in 1979.
The "Since U Been Gone" in question, popularized by Kelly Clarkson, is the one written by Max Martin and Dr. Luke.