Bitcoin doesn't control the market, the giants holding the new cryptocurrency market control this market.
No, Bitcoin cannot control the market because market is unpredictable, in other words no coin can control it. Bitcoin price is depend the demand of it, also when BTC goes down the other crypto is also goes down it means other crypto depend to the current situation of Bitcoin price. While market the possible can control to it is those investors because they are the once hold lot of crypto.