一类具有脉冲效应的时滞不确定系统的鲁棒稳定性分析摘要 在实际系统中，时滞和脉冲现象总是同时存在，影响着实际系统的正常运转，且系统不确定性也是广泛存在于实际系统问题中。分析该类脉冲时滞不确定系统的稳定性往往是很难建立精确的数学模型，实际系统中这类问题更加复杂。所以这类问题成为一直被广泛关注并研究的热点问题。近几年，脉冲系统在对于稳定性研究有了突破，但是关于时滞的脉冲系统研究依然停滞。对系统稳定性的影响，可以通过建立使系统的鲁棒指数稳定的充分条件来研究这类热点问题。这篇文章主要是利用李雅普诺夫泛函数的方法，以及线性矩阵不等式的方法，将两者相结合解决本文时滞脉冲不确定的系统，得到了充分条件关于系统稳定性，引用定理进一步证明其稳定性。最后给出了具体实例并利用 matlab 验证证明结果的正确性。关键字 脉冲 时滞系统 鲁棒稳定性分析 李雅普诺夫函数 线性矩阵不等式 Robust stability analysis of a class of uncertain time-delay systems with Impulsive EffectsAbstract In real systems, time-delay and pulse phenomena always exist at the same time, which affect the normal operation of real systems, and system uncertainty is also widely found in real system problems. It is often difficult to establish an accurate mathematical model to analyze the stability of uncertain systems with impuisive delay. So this kind of problem has been widely concerned and studied. In recent years, impulsive systems have made a breakthrough in the study of stability, but the research on Delay Impulsive Systems is still stagnant. Impact on system stability,. This kind of hot issues can be studied by establishing sufficient conditions for the robust exponential stability of the system. In this paper, the Lyapunov function method and the linear matrix inequality method are used to solve the system with time-delay impulsive uncertainty. Sufficient conditions for the stability of the system are obtained. The stability of the system is further proved ...
