本文讨论了在研究最优调节器理论及其应用时所遇到的几个问题,纠正了文献[1]证明中的一点错误;深入探讨了完全可控性的几种情形及最优性能指标的几种个别情况;指出了最优性能指标与最小能耗指标的区别和联系,并举例进行说明,给出了相应的结论,其中比较重要的结论是“二”中的命题5。 This paper discusses several problems encountered in the study of optimal regulator theory and its application, corrects a point of error in the literature [1], and discusses several situations of complete controllability and the optimal performance indicators. Several individual cases; pointed out the difference and connection between the optimal performance index and the minimum energy consumption index, and gave examples for illustration, and gave the corresponding conclusions, among which the more important conclusion is the proposition 5 in “II”.