TY - JOUR

T1 - Delay-independent stability conditions for a class of nonlinear difference systems

AU - Aleksandrov, A. Yu

AU - Aleksandrova, E. B.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - The paper addresses the asymptotic stability problem for a class of difference systems with nonlinearities of a sector type and time-delay. A new approach to Lyapunov–Krasovskii functionals constructing for considered systems is proposed. On the basis of the approach, delay-independent asymptotic stability conditions and estimates of the convergence rate of solutions are derived. In addition, stability of perturbed systems is investigated in the case where nonstationary perturbations admit zero mean values. Some examples are given to illustrate the obtained results.

AB - The paper addresses the asymptotic stability problem for a class of difference systems with nonlinearities of a sector type and time-delay. A new approach to Lyapunov–Krasovskii functionals constructing for considered systems is proposed. On the basis of the approach, delay-independent asymptotic stability conditions and estimates of the convergence rate of solutions are derived. In addition, stability of perturbed systems is investigated in the case where nonstationary perturbations admit zero mean values. Some examples are given to illustrate the obtained results.

KW - TIME-VARYING DELAY

KW - VOLTERRA INTEGRODIFFERENTIAL EQUATIONS

KW - DISCRETIZATION SCHEME

KW - PRESERVES STABILITY

KW - SWITCHED SYSTEMS

KW - POSITIVE SYSTEMS

KW - OUTPUT-FEEDBACK

KW - STABILIZATION

KW - BOUNDEDNESS

KW - HOMOGENEITY

UR - http://www.scopus.com/inward/record.url?scp=85044051993&partnerID=8YFLogxK

U2 - 10.1016/j.jfranklin.2018.02.020

DO - 10.1016/j.jfranklin.2018.02.020

M3 - Article

AN - SCOPUS:85044051993

VL - 355

SP - 3367

EP - 3380

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

SN - 0016-0032

IS - 7

ER -