If you are appealing a decision, you can stop the appeal at any time by filing a notice in the appeal court. You do this by saying you do not want to continue with the appeal and you are giving up all further proceedings about it. The notice must be signed by you or your lawyer.
You can do this at any time, and it is a way for you to stop the appeal process. When you file the notice, you are telling the court that you do not intend to keep going with the appeal.
The notice is like a formal letter to the court, and it must be authenticated, which means it must be signed by you or your lawyer to show it is real.