数学系Seminar第1346期 对中立型时滞系统的稳定性分析算法的构造

创建时间:  2016/10/21  龚惠英   浏览次数:   返回

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:金沙威尼斯欢乐娱人城数学系
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.
                   
 欢迎教师、学生参加 !

上一条:数学系Seminar第1345期 非线性时滞系统Lyapunov-Krasovskii泛函的构造

下一条:数学系Seminar第1347期 信息物理系统的建模方法 - 混杂动态系统简介


数学系Seminar第1346期 对中立型时滞系统的稳定性分析算法的构造

创建时间:  2016/10/21  龚惠英   浏览次数:   返回

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:金沙威尼斯欢乐娱人城数学系
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.
                   
 欢迎教师、学生参加 !

上一条:数学系Seminar第1345期 非线性时滞系统Lyapunov-Krasovskii泛函的构造

下一条:数学系Seminar第1347期 信息物理系统的建模方法 - 混杂动态系统简介