Устойчивость решений одного класса нелинейных систем разностных уравнений с запаздыванием

Inessa I. Matveeva; Arseniy V. Khmil

doi:10.25587/SVFU.2021.56.29.003

Matveeva Inessa I., matveeva@math.nsc.ru Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk 630090, Russia; Novosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia
Khmil Arseniy V., khmilarseniy@mail.ru Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk 630090, Russia; Novosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia

DOI: https://doi.org/10.25587/SVFU.2021.56.29.003

Keywords: delay difference equations, asymptotic stability, Lyapunov-Krasovskii functional, estimates for solutions

Abstract

We consider a class of nonlinear systems of delay difference equations with constant coefficients in linear terms. Conditions for the asymptotic stability of the zero solution are established and estimates characterizing stabilization rate of solutions at infinity are obtained by using a special Lyapunov-Krasovskii functional.

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Stability of solutions to one class of nonlinear systems of delay difference equations

Abstract

References