Optimization of the transients in oil pipelines on a class of piecewise constant functions

Problems of optimal control by the stabilization of transients while transporting oil over trunk pipelines are investigated in the work. The mathematical formulation has the form of a parametric problem of optimal control of a distributed-parameter system where optimized is the transient time, the control actions are represented by the liquid flows at the ends of a linear pipeline section. Control actions are considered on technically easily realizable classes of functions such as piecewise-constant functions.