本文研究了最速下降模型参考自适应控造。给出了最速下降和严格最速下降的定义,并证明了按照某李雅普诺夫函数构造的严格最速下降控制矩阵组成的控制系统是自适应渐近稳定的;而且给出了一种构造次最速下降控制矩阵的方法,并证明了它的自适应渐近稳定性。 This paper studies the steepest descent model reference adaptive control. The definition of the steepest descent and the steepest descent is given and it is proved that the control system composed of the strict steepest descent control matrix constructed according to a Lyapunov function is self-adaptive asymptotically stable. Furthermore, The method of matrix control is proved and its adaptive asymptotic stability is proved.