In the English-speaking IT sector, "VPS" and "VDS" mean the same — a server running in a virtual environment. The confusion occurred because of its Russian translation and some minor differences in the technology.
"VPS" means a virtual private server.
"VDS" means a virtual dedicated server.
In both cases, users have the same opportunities: they can configure the server as an administrator, install the OS, upload websites and files, as well as work with the databases.