本文是在理论和大系统理论的基础上,提出了一种解决非线性非定常力学系统稳定性的方法:“大系统加权V函数方法”。并应用该方法研究了自旋卫星(包括陀螺体卫星),挠性卫星以及空腔充液卫星的姿态稳定性问题。可以看到,这个方法,对于分析约束阻尼系统,陀螺系统以及复杂的卫星系统等相当广泛的一类运动稳定性问题,是简明有效的。 This paper presents a method to solve the stability of nonlinear unsteady mechanical system based on theory and large-scale system theory: “Large-system weighted V-function method”. The method is applied to study the attitude stability of spinous satellites (including gyro satellites), flexible satellites and cavity filled satellites. It can be seen that this method is concise and effective for analyzing a very wide range of motion stability problems such as constrained damping systems, gyroscopic systems and complex satellite systems.