Restatement (Third) Foreign Relations Law of the United States
The rules given in the Restatement are said to reflect the law as given effect by courts in the US
(401) Under IL a state is subject to limitations on
a) jurisdiction to prescribe, make its law applicable to the activities, relations, or status of persons, or the interest of persons in things, whether by legislation, by executive order, by administrative rule or regulation, or by determination of a court; [based on nationality & territoriality]
b) jurisdiction to adjudicate, to subject persons or things to the process of its courts or administrative tribunals, whether in civil or in criminal proceedings, whether or not the state is a party to the proceedings
c) jurisdiction to enforce; to induce or compel compliance or to punish non-compliance with its laws or regulations, whether through the courts or by use of executive, administrative, police, or other non-judicial action.
[in practice, state sovereignty has been controlled by law, & power tempered by reasonableness]