I believe that only the following communities in California have rent control ordinances:
  • Berkeley
    Beverly Hills
    Campbell
    East Palo Alto
    Fremont
    Hayward
    Los Angeles
    Los Gatos
    Oakland
    Palm Springs
    San Francisco
    San Jose
    Santa Monica
    Thousand Oaks
    West Hollywood
Beverly Hills rent control apparently provides,
Quote Quoting Beverly Hills Rent Control Ordinances
There are currently two Rent Control Ordinances in the City of Beverly Hills: Title 4, Chapter 5 and Chapter 6.

All tenants residing in apartment units and duplexes will fall under one of the two existing regulations. Tenants who, at any time during their tenancy, paid $600.00 or less per month are subject to Chapter 5 regulations adopted September 19, 1978. Tenants who paid $600.00 or more per month at move-in are subject to Chapter 6 regulations adopted October 7, 1986.

CODE ENFORCEMENT

The Code Enforcement Division of the Building and Safety Department is responsible for the enforcement of the Beverly Hills Municipal code provisions regulating residential multi-family rent stabilization relating to allowable rent increases and conditions under which a landlord may recover occupied rental units. It also resolves rent control complaints, answers inquiries, assures compliance with related Beverly Hills Municipal Code requirements, and refers tenant/landlord inquiries and complaints, not addressed in the municipal code to other appropriate agencies.

For more details, please contact Code Enforcement at 310.285.1119.
Otherwise, California law requires proper notice for a rent increase on a month-to-month tenancy.
Quote Quoting Rent Increases in California
California law guarantees you at least 30 days' advance written notice of a rent increase if you have a month-to-month (or shorter) periodic rental agreement.

Under the law, your landlord must give you at least 30 days' advance notice if the rent increase is 10 percent (or less) of the rent charged at any time during the 12 months before the rent increase takes effect. Your landlord must give you at least 60 days' advance notice if the rent increase is greater than 10 percent. In order to calculate the percentage of the rent increase, you need to know the lowest rent that your landlord charged you during the preceding 12 months, and the total of the new increase and all other increases during that period.