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针对单一和复合多时变时滞系统分别建立了稳定性的充分条件.结果的推导采用了拉什密辛(Razumikhin)定理结合代数不等式的方法.同时,本文提供了一些优化稳定性判据中自由参数的方法.所建判据既不依赖于时滞的大小也不依赖时滞的导数,故既适用于时变时滞系统也适用于常时滞系统或无时滞系统.最后,给出了一些例子说明所提方法的应用,并比较文献中存在的结果.
The sufficient conditions for the stability of single and complex multi-time-varying delay systems are respectively established. The result was derived using the Razu-Mikhin theorem combined with algebraic inequality. In the meantime, we provide some methods to optimize the free parameters in the stability criterion. The proposed criterion does not depend on the size of the delay nor the derivative of the delay, so it is suitable for both time-varying delay systems and time-delay systems. Finally, some examples are given to illustrate the application of the proposed method and to compare the existing results in the literature.