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中文摘要：
针对双级溶解槽的化工过程,建立了一类中立型系统控制模型,通过对该模型的稳定性分析,设计了使闭环系统稳定的状态反馈控制器.充分利用时滞间的关系,对不同的时滞区间分别选取合适的Lyapunov函数,得到了保守性较小的时滞相关充分条件.为了便于问题的求解,最终结论以线性矩阵不等式的形式给出.最后通过仿真算例验证所提结论的有效性.
英文摘要：
Based on the chemical process of a two-stage dissolution tank,a class of neutral systems was modeled.By the stability analysis,a state feedback controller was designed to stabilize the close-loop system.According to the relationship of two delays（discrete delay and neutral delay）,proper Lyapunov functions were chosen for the different delay intervals and delay-dependent criteria with less conservation were derived.In order to facilitate computing,the results were formed into linear matrix inequality.Finally,a numerical example was given to show the validity of the results.
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