【摘要】 运用复变函数理论,将特征方程转化为幅值条件和相位条件,通过分析得到幅值与相位之间的单调特性。将系统的稳定条件对应右半复平面特征方程无解,获得了单时滞系统稳定的充分必要条件。其结论与相关参考文献比较,稳定性条件与时滞之间的关系是显式的,不需要试算。文末给出的数值实例说明了结果的简洁性与有效性。更多还原

【Abstract】 Characteristic equation of linear delay systems is transferred as magnitude and phase conditions with complex variable functions. Analysis shows magnitude curve with phase is monotonic increasing while phase curve is monotonic decreasing. As to stability is equal to no any roots of characteristic equation on right s-plane,a sufficient and necessary condition is obtained here. Several examples are given to illustrate our results and its application.更多还原