While the cloud computing market is still nascent and most aspects of it are changing every day, a few things should be well-defined at this point. Things like the definitions.
So far the Industry used to recognize three major architectures for cloud computing, Infrastructure-as-a-Service (IaaS), Platform-as-a-Service (PaaS) and Software-as-a-Service (SaaS), and four deployment models: public, private, hybrid and the community cloud.
When we talk about a hybrid cloud, we usually think about a private cloud that interconnects with a public one, or with a virtual private one, through a secure channel, some routing and a network fencing technology to overcome any networking conflict between the two segments.
In this scenario the customer is supposed to extend his private cloud infrastructure off-premises, and, whenever possible, to remotely control the virtual machines (if IaaS), the application framework (if PaaS) or the web-oriented services (if SaaS) that are hosted in the public cloud with his on-premises management tools.
But Intel is working on a product dubbed Hybrid Cloud that seems to work the other way around. Sort of.