一类连续定常线性系统的有效解法

Effective Solutions for a Class of Continuous Constant Linear Systems

根据给定输入和初始状态求解系统的状态方程是系统分析的关键步骤。针对系统输入具有指数形式或可等价于指数形式进行研究,给出了这种情况下的一种求特解的有效方法,并特别就二阶系统给出了一种快速有效求解方法。最后通过两个典型系统的求解验证了该方法的简便性和有效性。

The state equation solution is a key step of system analysis according to given input and initial state. The systems are studied on index form input or equivalent to the exponential form input. An effective method is provided for the case of special solutions,and especially the second order system is provided with a fast and effective solution. Finally,the validity and simplicity of the method is demonstrated by solving two typical systems.