You can use DateTime.Today as DayPilotScheduler.StartDate. This will display today as the first day in the matrix.
If you want to show a full week and just set the initial scroll position to today, use the following:
protected void Page_Load(object sender, EventArgs e)
{
if (!IsPostBack)
{
DayPilotScheduler1.SetScrollX(DateTime.Today);
}
}