一类具有时变脉冲的不确定系统的鲁棒稳定性分析摘要 在现实工程运用中，系统的时变现象广泛存在。时变顾名思义，就是指因变量会随时间的变化而变化，常常用于信号与系统领域。因此时变系统所具有的动态特征也十分复杂，对其研究难度也大大加大。实际系统中，也有一类动态系统的运动状态在某些时刻会经历瞬时突变，即系统呈现脉冲效应。脉冲系统可以更加精确的反应事物的变换规律，从而应用在生态学、医学、通信、航天等众多领域中。另一方面，因为外部扰动与不精确建模这两个因素的影响，系统中的参数不能精确获得。因此可以用不确定脉冲的系统对那些不确定性扰动的脉冲现象的运动状态进行刻画。本文探讨一类具有时变脉冲的不确定系统的鲁棒稳定性分析的相关题目。其目的是解决实际生活中网络稳定性的问题，运用李雅普诺夫函数和黎卡提不等式，可以找到系统稳定的条件；基于这个条件给出数值示例，利用 MATLAB 和 LMI 来求解问题，并且说明理论结果的有效性与实用性。 关键词 时变脉冲 李雅普诺夫函数 LMI 脉冲控制器 鲁棒稳定性Robust Stability Analysis of Uncertain Systems with Time-Varying ImpulsesAbstract In practical systems, the time-varying phenomenon of the system is widespread.Time-varying means that state variables will change with time, which is often used in the field of signal and system. Therefore, the dynamic characteristics of time-varying system are very complex,and the difficulty of its research is greatly increased. With the exception of the time-varying appearance, there is also a kind of dynamic system whose motion state will experience instantaneous mutation at some time. Pulse system can reflect the transformation law of things more accurately, so it can be applied in many fields such as ecology, medicine, communication, aerospace, etc. On the other hand, because of the influence of external disturbance and imprecise modeling, the parameters in the system can not be obtained accurately. Therefore, the system of uncertain pulses can be used to describe the motion sta...
