Optimal control with a quadratic criterion in distributed gas-transport systems

On the basis of the method of generalized Lagrange multipliers we obtain optimality conditions in the problem of tracking a given variation in regime of a distributed pipeline gas transport system with an integral quadratic quality criterion. We propose a method and an algorithm for finding optimal controlling actions. We present the results of computation of optimal controls in a homogeneous pipeline. Translated fromDinamicheskie Sistemy, Vol. 11, 1992.