报告主题：对中立型时滞系统的稳定性分析算法的构造
报告人：Aleksei Zhabko 教授(St. Petersburg State University)
报告时间：2016年10月24日（周一）15：00
报告地点：校本部G507
邀请人：胡广大
主办部门：理学院数学系
报告摘要：A new criterion for exponential stability of linear neutral type time delay systems are presented. It is based on the idea to supplement one of the classical conditions of the Krasovskii theorem, namely the positive definiteness of the functional, but with a special set of functions satisfying a Razumikhin type inequality and a similar inequality on the derivative. A functional, whose derivative is given as a negative definite quadratic form, is used. It is shown the functional admits a quadratic lower bound on the mentioned set of functions.
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