引入弱严格正实域的概念 ,讨论了弱严格正实域的性质 ,利用多项式完全判别系统 ,给出系数空间中传递函数严格正实域和弱严格正实域的完整刻画 ,提出一种新的切实可行的系统鲁棒严格正实综合设计方法 .该方法对低阶稳定的区间多项式集或低阶稳定的多项式线段集来说 ,所得条件是充分必要的 ,对于高阶的情形也是十分有效的 ,并用实例说明该方法的有效性 . We introduce the concept of weak strictly positive real domain, and discuss the properties of weak strictly positive real domain. By using the polynomial complete discriminant system, we give a complete characterization of the transfer function strictly positive real and weak strictly positive real in the coefficient space, It is necessary and feasible for the system to be robust and exact positive real-world comprehensive design method for low-order stable interval polynomial sets or low-order stable polynomial line sets, which is also very effective for higher-order cases The examples are given to illustrate the effectiveness of this method.