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(英文)

DelayIndependent Stability Criteria for Single and CompositeLinear Systems with Multiple TimeVarying Delays*

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．

This paper presents the sufficient stability criteria for single and composite linear systems with multiple timevarying delays respectively. The results are derived by using Razumikhintype theorem together with an algebraic inequality technique. It also provides some approaches for determining the free parameter matrices and scalars in the established criteria. The obtained criteria do not depend on the quantity or derivative of delays. Therefore,they are suitable for systems either with timevarying delays or with constant delays or without delay. Finally,some examples and remarks are given to illustrate the applications of the proposed methods and to compare the obtained results with the existing ones in the literature.