There is no company or centralized organization that controls Ethereum. Ethereum is maintained and improved over time by a diverse global community of contributors who work on everything from the core protocol to consumer applications. This website, just like the rest of Ethereum, was built - and continues to be built - by a collection of people working together.
One of the most important problems that any payment network has to solve is double-spending. It is a fraudulent technique of spending the same amount twice. The traditional solution was a trusted third party - a central server - that kept records of the balances and transactions. However, this method always entailed an authority basically in control of your funds and with all your personal details on hand.