Optimal control of oscillations in distributed systems with uncertainty

The problems of the optimal control of the oscillations of an elastic body due to perturbations of a certain class are considered. Two types of problems are investigated: the limiting possibilities of control and the minimum of the guaranteed result. It is shown that the guaranteed result has a lower limit given by the solution of the problem of the limiting possibilities of the control. Methods of solving these problems are proposed and examples of calculations for a specific elastic system are given.