A linear control problem is considered in the presence of an uncontrolled disturbance. It is only known that the values of the disturbance belong to a given connected compact set. The terminal time of the control process is fixed. The terminal component of the payoff depends on the modulus of a linear function of the phase variables, and the integral component is given by an integral of a power of the control. We admit the possibility of one breakdown leading to a change in the dynamics of the control process. The time of the breakdown is not known in advance. The construction of the control is based on the principle of minimization of the guaranteed result. The opponents are the disturbance and the time of the breakdown. Necessary and sufficient conditions for the optimality of an admissible control are found.

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关于扰动和可能的故障下的控制问题

在存在不受控制的干扰的情况下考虑线性控制问题。仅知道干扰值属于给定的连接紧集。控制过程的结束时间是固定的。收益的最终分量取决于相位变量的线性函数的模数，积分分量由控制权的积分得出。我们承认可能会发生一次故障，从而导致控制过程动力学发生变化。故障时间事先未知。控制的构造基于最小化保证结果的原理。对手是干扰和故障时间。找到了允许控制最优的必要条件和充分条件。