For this the best solution is using actions. To add a new action to an actors in Scene2D just call:
Action action = Actions.moveTo(x,y,duration);
actorObject.addAction(action);
Where x and y is the target location and duration is the speed of this movement in seconds(float).
If you want to stop this action(and the actor by it) you can do it by calling:
actorObject.removeAction(action);
or you can remove all actions by calling:
actorObject.clearActions();
This will immediately stop the running of the action(s).
The moveTo action manipulates the x and y property of the actor, so when you draw the actor to the screen always use getX() and getY() to draw textures. Just like in the following example:
public class MovingActor extends Actor {
private Action runningAction;
private float speed = 2f;
public void moveTo(Vector2 location) {
runningAction = Actions.moveTo(location.x, location.y, speed);
this.addAction(runningAction);
}
public void stopAction() {
this.removeAction(runningAction);
}
public void stopAllActions() {
this.clearActions();
}
@Override
public void draw(Batch batch, float parentAlpha){
batch.draw(someTexture, getX(), getY());
}
}