who has power to summon the session of state legislature
Governors of states of India The governor summons the sessions of both houses of the state legislature and prorogues them. The governor can even dissolve the Vidhan Sabha. These powers are formal and the governor while using these powers must act according to the advice of the Council of Ministers headed by the Chief Minister.
Government of Texas Partly because of many elected officials, the governor's powers are quite limited in comparison to other state governors or the U.S. President. In popular lore and belief the lieutenant governor, who heads the Senate and appoints its committees, has more power than the governor. The governor commands the state militia and can veto bills passed by the Legislature and call special sessions of the Legislature (this power is exclusive to the governor and can be exercised as often as desired). The governor also appoints members of various executive boards and fills judicial vacancies between elections. All members of the executive branch are elected statewide except for the Secretary of State (appointed) and the State Board of Education (each of its 15 members are elected from single-member districts).