TY - JOUR

T1 - Lyapunov-krasovskii functional for discretized homogeneous systems

AU - Efimov, Denis

AU - Aleksandrov, Alexander Y.

N1 - Publisher Copyright: © 2021 Society for Industrial and Applied Mathematics.

PY - 2021

Y1 - 2021

N2 - The paper is devoted to stability analysis of discrete-time time-delay systems, obtained after explicit Euler discretization of (locally) homogeneous continuous-time models. The results are derived by applying the Lyapunov-Krasovskii theory. A generic structure of the functional is given that suits for any homogeneous system of nonzero degree (and it can also be used for any dynamics admitting a homogeneous approximation). The obtained conditions are utilized to demonstrate stability for a discretized delayed locally homogeneous planar system with negative and positive degrees.

AB - The paper is devoted to stability analysis of discrete-time time-delay systems, obtained after explicit Euler discretization of (locally) homogeneous continuous-time models. The results are derived by applying the Lyapunov-Krasovskii theory. A generic structure of the functional is given that suits for any homogeneous system of nonzero degree (and it can also be used for any dynamics admitting a homogeneous approximation). The obtained conditions are utilized to demonstrate stability for a discretized delayed locally homogeneous planar system with negative and positive degrees.

KW - Discrete-time systems

KW - Homogeneous systems

KW - Lyapunov-Krasovskii method

UR - http://www.scopus.com/inward/record.url?scp=85112654813&partnerID=8YFLogxK

U2 - 10.1137/20M1340447

DO - 10.1137/20M1340447

M3 - Article

AN - SCOPUS:85112654813

VL - 59

SP - 2546

EP - 2569

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

SN - 0363-0129

IS - 4

ER -