[DefaultValue(null)]
public BindingBase IsDetailButtonVisibleBinding { get; set; }

<DefaultValue(Nothing)>
Public Property IsDetailButtonVisibleBinding As BindingBase

<Window.Resources>
    <local:MyConverter x:Key="myConverter"/>
</Window.Resources>
<Grid>
    <dxg:GridControl x:Name="grid" AutoGenerateColumns="AddNew">
        <dxg:GridControl.DetailDescriptor>
            <dxg:DataControlDetailDescriptor ItemsSourcePath="Products">
                <dxg:DataControlDetailDescriptor.DataControl>
                    <dxg:GridControl AutoGenerateColumns="AddNew">
                        <dxg:GridControl.View>
                            <dxg:TableView AutoWidth="True" ShowGroupPanel="False"/>
                        </dxg:GridControl.View>
                    </dxg:GridControl>
                </dxg:DataControlDetailDescriptor.DataControl>
            </dxg:DataControlDetailDescriptor>
        </dxg:GridControl.DetailDescriptor>
        <dxg:GridControl.View>
            <dxg:TableView AutoWidth="True"
                           ShowGroupPanel="False"
                           IsDetailButtonVisibleBinding="{Binding Row.Name, Converter={StaticResource myConverter}}"/>
        </dxg:GridControl.View>
    </dxg:GridControl>
</Grid>

[ValueConversion(typeof(object), typeof(bool))]
public class MyConverter : IValueConverter {
    public object Convert(object value, Type targetType, object parameter, CultureInfo culture) {
        // Obtain the value to be converted:
        string categoryValue = (string)value;

        // Specify values for which to show expand buttons:
        string[] categories = new string[] { "First", "Third" };
        if (categories.Contains(categoryValue))
            return true;

        // Disable expand buttons if the value is not in the list:
        return false;
    }
    public object ConvertBack(object value, Type targetType, object parameter, CultureInfo culture) {
        return null;
    }
}

<ValueConversion(GetType(Object), GetType(Boolean))>
Public Class MyConverter
    Implements IValueConverter

    Public Function Convert(ByVal value As Object, ByVal targetType As Type, ByVal parameter As Object, ByVal culture As CultureInfo) As Object Implements IValueConverter.Convert
        ' Obtain the value to be converted:
        Dim categoryValue As String = CStr(value)
        ' Specify values for which to show expand buttons:
        Dim categories As String() = New String() {"First", "Third"}
        If categories.Contains(categoryValue) Then Return True
        ' Disable expand buttons if the value is not in the list:
        Return False
    End Function

    Public Function ConvertBack(ByVal value As Object, ByVal targetType As Type, ByVal parameter As Object, ByVal culture As CultureInfo) As Object Implements IValueConverter.ConvertBack
        Return Nothing
    End Function
End Class