数学系Seminar第1822期 Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay

创建时间:  2019/05/09  龚惠英   浏览次数:   返回

报告主题:Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay 
报告人:A.Yu. Aleksandrov  教授(St. Petersburg State University)
报告时间:2019年5月13日(周一) 10:00
报告地点:校本部G507
邀请人:胡广大
主办部门:太阳成集团tyc33455数学系
报告摘要:Nonlinear systems of difference equations with delay and nonlinearities of a sector type are studied. New constructions of Lyapunov-Krasovskii functionals are proposed for such systems. With the aid of these functionals, delay-independent conditions of asymptotic stability and uniform ultimate boundedness of solutions of the considered systems are obtained. Moreover,estimates of the convergence rate of solutions are derived. In addition,conditions are found under which asymptotic stability and uniform ultimate boundedness of solutions are preserved for perturbed systems.

 

 

欢迎教师、员工参加!

上一条:数学系Seminar第1820期 Cahn-Hilliard 方程的有限差分方法

下一条:数学系Seminar第1821期 Stability analysis and estimation of the convergence rate of solutions for nonlinear time-delay systems


数学系Seminar第1822期 Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay

创建时间:  2019/05/09  龚惠英   浏览次数:   返回

报告主题:Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay 
报告人:A.Yu. Aleksandrov  教授(St. Petersburg State University)
报告时间:2019年5月13日(周一) 10:00
报告地点:校本部G507
邀请人:胡广大
主办部门:太阳成集团tyc33455数学系
报告摘要:Nonlinear systems of difference equations with delay and nonlinearities of a sector type are studied. New constructions of Lyapunov-Krasovskii functionals are proposed for such systems. With the aid of these functionals, delay-independent conditions of asymptotic stability and uniform ultimate boundedness of solutions of the considered systems are obtained. Moreover,estimates of the convergence rate of solutions are derived. In addition,conditions are found under which asymptotic stability and uniform ultimate boundedness of solutions are preserved for perturbed systems.

 

 

欢迎教师、员工参加!

上一条:数学系Seminar第1820期 Cahn-Hilliard 方程的有限差分方法

下一条:数学系Seminar第1821期 Stability analysis and estimation of the convergence rate of solutions for nonlinear time-delay systems