According to the documentation, when the URI refers to a Window, the AddDocumentPanel method only loads the specified Window content. The Window object itself, its resources and event handlers are not loaded, and they cannot be accessed via the LayoutPanel.Control property.
You can use a UserControl object instead of the Window one. In this case, the UserControl itself will be loaded and you will be able to access the loaded UserControl via the LayoutPanel.Control property.