2-D control theory in gas transport network modeling

This paper considers some classes of discrete 2D models to construct the discrete time, finite dimensional linear state space model of a gas distribution network. The models introduced are used to present some methods of optimal control applicable to problem of pressure and flow control in output nodes of gas transport networks. The focus is on the development of a comprehensive optimization theory based on constructive approach in the transport problem model and the operator setting for 2D control systems. Also the optimal feedback control problem is considered that is of both systems theoretic and application interest.