<Application x:Class="ControlExample.App"
             xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
             xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
             xmlns:local="clr-namespace:ControlExample"
             StartupUri="MainWindow.xaml">
    <Application.Resources>
        <ControlTemplate x:Key="MyControlDefaultTemplate" TargetType="{x:Type local:MyControl}">
            <Border Background="{TemplateBinding Background}"
                    BorderBrush="{TemplateBinding BorderBrush}"
                    BorderThickness="{TemplateBinding BorderThickness}">
                <TextBlock Text="{TemplateBinding MyDependencyProperty}" 
                           HorizontalAlignment="Center" VerticalAlignment="Center"/>
            </Border>
        </ControlTemplate>
        
        <Style TargetType="{x:Type local:MyControl}">
            <Setter Property="Background" Value="White"/>
            <Setter Property="BorderBrush" Value="Black"/>
            <Setter Property="BorderThickness" Value="1"/>
            <Setter Property="Template" Value="{ StaticResource MyControlDefaultTemplate}"/>
        </Style>
    </Application.Resources>
</Application>

<Window x:Class="ControlExample.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        xmlns:d="http://schemas.microsoft.com/expression/blend/2008"
        xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
        xmlns:local="clr-namespace:ControlExample"
        mc:Ignorable="d"
        Title="MainWindow" Height="450" Width="800">
    <Grid>
        <local:MyControl MyDependencyProperty="My Value" Margin="5"/>
    </Grid>
</Window>

using System.Windows;
using System.Windows.Controls;

namespace ControlExample
{
    public class MyControl : Control
    {
        static MyControl()
        {
            DefaultStyleKeyProperty.OverrideMetadata(typeof(MyControl), 
                new FrameworkPropertyMetadata(typeof(MyControl)));
        }

        public static readonly DependencyProperty MyDependencyPropertyProperty =
            DependencyProperty.Register(nameof(MyDependencyProperty), typeof(string), typeof(MyControl), 
                new PropertyMetadata(default(string)));

        public string MyDependencyProperty
        {
            get => (string)GetValue(MyDependencyPropertyProperty);
            set => SetValue(MyDependencyPropertyProperty, value);
        }
    }
}

internal static BindingExpression CreateBindingExpression(DependencyObject d,
                                                DependencyProperty dp,
                                                Binding binding,
                                                BindingExpressionBase parent)
        {
            FrameworkPropertyMetadata fwMetaData = dp.GetMetadata(d.DependencyObjectType) as FrameworkPropertyMetadata;
 
            if ((fwMetaData != null && !fwMetaData.IsDataBindingAllowed) || dp.ReadOnly)
                throw new ArgumentException(SR.Get(SRID.PropertyNotBindable, dp.Name), "dp");