Satisfactory estimation problem for discrete systems with stochastic passage characteristics index constraint
含随机穿越特征指标的离散系统满意估计问题

When the expectation value of an estimate is a finite area, the problem of stochastic passage over the target area boundary is discussed. By analyzing the consistency between the indices of the area pole and the stochastic passage characteristics of the discrete estimation system, we propose a satisfactory estimation strategy for opportunity-awaiting, which satisfies the requirements of multi indices; and develop the solution algorithm based-on bi-linear matrix inequalities(BMIs). The presented estimation strategy for opportunity-awaiting ensures the estimate to satisfy the index of average residence degree in the target area, and keeps the average traversing period over the target area boundary to be as small as possible. Therefore, the time distributions of the estimate being inside and outside the target area can be uniform as desired. Finally, the results are illustrated by a numerical example.