AngularJs - How can I load a angularjs controller dynamically?

I loaded a html content from a.html(in other trusted host) file:

<div>
        <div><span ng-bind="propertyA"></span></div>
        <div><span ng-bind="propertyB || 'Test ng-bind.'"></span></div>
        <div><span ng-bind="propertyC"></span></div>             

        <input type="text" value="" ng-model="propertyC" />
</div>

to a variable(loadedHtml) and bind it to my own page and then compiled it:

$scope.htmlContent = $sce.trustAsHtml(loadedHtml);

var elem = angular.element(".need-compile-html > *");                        
$compile(elem)($scope);

it display normally and the directive(ng-bind, ng-model) works correctly.

Now, I want load a controller(a.js) for b.html:

a.js:

(function(angular) {

    angular.module("app").controller("myCtrl", [
        '$scope', function($scope) {

            $scope.propertyA = "Default property."

        }]);

    console.log("myCtrl loaded.");

})(angular);

b.html:

<div ng-controller="myCtrl">
        <div><span ng-bind="propertyA"></span></div>
        <div><span ng-bind="propertyB || 'Test ng-bind.'"></span></div>
        <div><span ng-bind="propertyC"></span></div>             

        <input type="text" value="" ng-model="propertyC" />
 </div>

local js code:

// jscontent is the content of a.js
eval(jscontent);

$scope.htmlContent = $sce.trustAsHtml(loadedHtml);    
var elem = angular.element(".need-compile-html > *");                        
$compile(elem)($scope);

The error occurred: Argument 'myCtrl' is not a function, got undefined. It seems the controller 'myCtrl' is not be registered before $compile(elem)($scope); , but the message 'myCtrl loaded.' outputted in console normally?

What is the correct way to load 'myCtrl' dynamically?