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
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.
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