中文摘要：

研究了随机运动目标有限区域持续探测的概率最优性问题,证明了区域一次探测概率随时间递减。建立了相邻探测点累计发现概率与一个探测点探测周期数的数学关系,并给出了一个计算探测最大概率周期数的判据,应用此判据,可以搜索获得最优探测周期数。进行了直升机吊放声纳持续探测发现概率最优性仿真,仿真表明了计算的有效性,并得出了应以最小周期数进行直升机吊放声纳探测的结论。

英文摘要：

Searching a random moving target in continuous space,the probability optimality of persistence detecting time in an immobility space is studied. The conclusion of the reduced probability of one cycle detection in an immobility space with time is proved. The relation between the cycle number in one detection point and the search probability of the point and the next detection point is found,and a calculation criterion for cycle number of maximum probability is given. Using the criterion,the optimal cycle number of detections is obtained. Simulation data of optimal calculation is given about a searching submarine operation used dipping sonar of helicopter. The simulation showed the validity of the algorithm and the conclusion of the minimum detection cycle number for a detection point of dipping sonar.