MATLAB: Saving all Superclass properties inside one subclass property

Question

Feature class created with proerties featid & to_delete

classdef Feature < handle
    properties (Access = public)        
       % Unique ID of this feature
       featid;
       % If this feature should be deleted
        to_delete;
    end
    
    methods
        function obj = Feature()
        end
        function obj=clean_old_measurements(obj,valid_times)
        end 
        
    end
end

Sub class FeatureDatabase inherites from Feature class

classdef FeatureDatabase < Feature
    properties (Access = public)
        % Mtx for our map
        mtx;
        % Our lookup array that allow use to query based on ID
        features_idlookup;
    end
    
    methods
        function obj = FeatureDatabase()
            % Default constructor
            obj.features_idlookup = Feature;
        end
        
        function obj=cleanup_measurements(obj,timestamp)
                        
        end
    end
end

The object F is created which uses the methods from Feature class. Below code shows that not only we inherite from Feature class, as well as the all the properties of the Feature class are stored in the features_idlookup.

>> F = FeatureDatabase()
F = 
  FeatureDatabase with properties:
                  mtx: []
    features_idlookup: [1×1 Feature]
               featid: []
            to_delete: []

How can I inherite from the superclass and store all the properties only in features_idlookup?

I want to achieve the following. Suggestions and help is appericiated. Thank you in advance.

>> F = FeatureDatabase()
F = 
  FeatureDatabase with properties:
                  mtx: []
    features_idlookup: [1×1 Feature]

Answer 1

Should FeatureDatabase inherit from Feature (be a Feature?)

Or should FeatureDatabase have a property that contains an array of Feature objects? In this case, FeatureDatabase should not be a subclass of Feature.