Focus input inside stencil web-component from outside

Is it possible to propagate a focus() call on the html element of a web-component to its children (input)?

The web-component contains an input:

render() {
return (
  <Host>
    <div>
      <input
       ...
      />
    </div>
  </Host>
);

}

I tried to call focus() on the web-component itself and to find the input element in the shadowdom and call focus() there but it didn't work. Is it not possible to focus an element inside shadow-dom?