How to restart a stopped docker container

Question

I use the following command to start a docker container from an image:

$ docker run -d myimage /bin/bash -c "mycommand"

The container is stopped (I assume it is stopped) after "mycommand" is finished, but it is not removed, because I can see it with this command:

$ docker ps -a

Is there a way to restart this container with the same parameters and maintain the data that mycommand generated?