研究了一类非线性时滞系统的有限时间稳定性,给出了一些新的时滞无关和时滞相关的有限时间稳定性结果。应用Razumikhin方法 (R方法),给出了一般非线性时滞系统的一个有限时间稳定性判据。为了研究这类系统的有限时间稳定性,根据正交分解法和坐标变换方法,得到了这类系统的一个等价形式。基于上述得到的稳定性判据和等价形式,给出了这类系统的几个时滞无关和时滞相关的稳定性结果。通过仿真模拟验证了该方法的有效性。 The finite-time stability of a class of nonlinear time-delay systems is studied. Some new finite-time stability results for delay-independent and time-dependent systems are given. Using the Razumikhin method (R method), a finite-time stability criterion for a general nonlinear time-delay system is given. In order to study the finite-time stability of such systems, an equivalent form of such a system is obtained based on the orthogonal decomposition and coordinate transformation methods. Based on the stability criterion and the equivalent form obtained above, some stability results of delay-independent and time-delay related systems are given. The simulation results show the effectiveness of this method.