Microsoft Azure Stack HCI
Microsoft Azure Stack is a family of products and solutions that extend Azure to your datacenter or the edge. Includes Azure Stack Hub, Azure Stack HCI, and Azure Stack Edge.
Here you find all the information you need about the Microsoft Azure Stack Family
Here you find the Azure Stack HCI Overview
The Power of Hybrid IT Management is awesome with Azure Hybrid Services for your Servers with Microsoft Windows Admin Center. While you can set up most Azure hybrid services by downloading an app and doing some manual configuration, many are integrated directly into Windows Admin Center to provide a simplified setup experience and a server-centric view of the services. Windows Admin Center also provides convenient intelligent hyperlinks to the Azure portal to see connected Azure resources as well as a centralized view of your hybrid environment.
Hybrid IT Management with Azure Family and Windows Admin Center.
See here the Differences between global Azure, Azure Stack, and Azure Stack HCI
Cloud and Datacenter Management Blog 