The construction of decentralized systems free of total administrative control is the main problem while shift towards the innovation economy of the VI technological order. It is the network structures, based on the «nature-like» principle, that will become the framework of the future innovative economy, which is called the ValueWeb in the West. Companies’ transformation is necessary for their successful functioning in the network structure of energy flows (energy web) in the world market.
The paper presents a new nonlinear structure of economic agents' interrelations, which is applied to the global energy market. The main prerequisites, the essence and consequences of the global transformation of vertically integrated energy companies into the neural network structure, which on the world scale will turn into energy web, are consecrated.

Key words: energy web, innovation economy, economic cybernetics, neural network, energy, vertically integrated oil companies, business transformation, energy market.