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Under which legislation was the NYC travel ban during the Jan 2016 blizzard permitted?

On 23rd January 2016, Gov. Andrew Cuomo announced a travel ban on New York City roads as a safety measure ahead of heavy snow. James O'Neill, NYPD Chief of Department, stated that people violating this ban would be arrested.

What law(s) allow this ban to be imposed? Is there anywhere online I can read more about it, or view the exact wording? I'm interested in understanding the circumstances under which such a travel ban can be imposed, and what measures are in place to prevent the abuse or overuse of such bans. I'm also interested in understanding any arguments that may have been made about how the health/safety benefits of this ban outweigh the costs of restricting individual freedoms.

I've looked around online to no avail - Wikipedia's page on Freedom of movement under United States law doesn't mention it, and I can find information on bills to exempt certain parties from the legislation, but this doesn't seem to lead me to the law itself.