presidial
adjective
pre·sid·i·al pri-ˈsi-dē-əl 
-ˈzi-
-ˈzi- 1
[French présidial, from Middle French, alteration of presidal, from Late Latin praesidalis of a provincial governor, from Latin praesid-, praeses] : provincial sense 1
2
: of, having, or constituting a garrison
3
: of or relating to a president
Word History
Etymology
Late Latin praesidialis, from Latin praesidium garrison, from praesid-, praeses guard, governor, from praesidēre
First Known Use
1576, in the meaning defined at sense 1