Texas Local Government Code - LOC GOV'T § 22.038. Meetings

(a) The governing body of the municipality shall meet at the time and place determined by a resolution adopted by the governing body.

(b) The mayor may call a special meeting on the mayor's own motion and shall call a special meeting on the application of three aldermen. Each member of the governing body, the secretary, and the municipal attorney must be notified of the special meeting. The notice may be given personally or left at the person's usual place of residence.

(c) The governing body shall determine the rules of its proceedings and may compel the attendance of absent members and punish them for disorderly conduct.

(d) An alderman shall be fined $3 for each meeting that the alderman fails to attend unless the absence is caused by the alderman's illness or the illness of a family member.