Mumbai, formerly known as Bombay, has a rich and diverse history with various rulers and influences throughout the centuries.

• Ancient Era: The region was initially inhabited by fishing communities and was under the rule of various indigenous dynasties.
• Mauryan Empire: Mumbai was part of the Mauryan Empire in the 3rd century BCE.
• Silhara Dynasty: From the 8th to 13th centuries, the Silhara dynasty controlled the islands.
• Gujarat Sultanate: Subsequently, it came under the rule of the Gujarat Sultanate.
• Portuguese Rule (1534-1661): The Portuguese acquired the islands in 1534. They called it "Bom Bahia" (Good Bay).
  Source: Britannica - Mumbai
• British Rule (1661-1947): In 1661, as part of the dowry of Catherine of Braganza when she married Charles II of England, the islands were ceded to the British. The British East India Company developed Bombay into a major trading center.
  Source: RBI - Early British Settlements
• Post-Independence (1947 onwards): After India's independence in 1947, Bombay became part of India. In 1995, the city was officially renamed Mumbai.

Therefore, it's not accurate to say one single ruler governed Mumbai throughout its entire history. Control shifted through various empires, sultanates, and colonial powers.