Title: Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay
Reporter: Reporter: Prof. A.Yu. Aleksandrov(St. Petersburg State University)
Time: 2019-5-13 (Monday) 10:00
Abstract: 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.