具有多时变时滞的单一和复合线性系统的时滞无关稳定性判据

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（Ｒａｚｕ－ｍｉｋｈｉｎ）定理结合代数不等式的方法，同时，本文提出了一些优化稳定性判据中参数的方法，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无时滞系统，最后，给出了一些例子所提方法的应用，并比较文献中存在的结果。

Delay-Independent Stability Criteria for Single and CompositeLinear Systems with Multiple Time-Varying Delays

This paperpresents the sufficient stability criteria for single and composite linear systems withmultiple time-varying delays respectively. The results are derived by usingRazumikhin-type theorem together with an algebraic inequality technique. It also providessome approaches for determining the free parameter matrices and scalars in the establishedcriteria. The obtained criteria do not depend on the quantity or derivative of delays.Therefore,they are suitable for systems either with time-varying delays or with constantdelays or without delay. Finally,some examples and remarks are given to illustrate theapplications of the proposed methods and to compare the obtained results with the existingones in the literature.