TY - JOUR

T1 - Dwell time stability analysis for nonlinear switched difference systems

AU - Aleksandrov, A. Yu

AU - Martynyuk, A. A.

AU - Platonov, A. V.

N1 - Publisher Copyright: © 2016 InforMath Publishing Group. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.

PY - 2016

Y1 - 2016

N2 - This paper addresses the stability problem for a set of switched nonlinear difference equations with parametric uncertainties. For the corresponding family of subsystems, a regularization procedure is suggested, and a multiple Lyapunov function is constructed. With the aid of the Lyapunov function, classes of switching signals are determined for which the asymptotic stability of a stationary solution of a given set of equations may be guaranteed. An application of the proposed approach to the stability analysis of multiconnected switched difference systems by nonlinear approximation is presented. An example is given to illustrate our results.

AB - This paper addresses the stability problem for a set of switched nonlinear difference equations with parametric uncertainties. For the corresponding family of subsystems, a regularization procedure is suggested, and a multiple Lyapunov function is constructed. With the aid of the Lyapunov function, classes of switching signals are determined for which the asymptotic stability of a stationary solution of a given set of equations may be guaranteed. An application of the proposed approach to the stability analysis of multiconnected switched difference systems by nonlinear approximation is presented. An example is given to illustrate our results.

KW - Comparison equations

KW - Complex systems

KW - Difference systems

KW - Dwelltime

KW - Multiple lyapunov functions

KW - Stability

KW - Switching law

UR - http://www.scopus.com/inward/record.url?scp=84979086287&partnerID=8YFLogxK

M3 - Article

VL - 16

SP - 221

EP - 234

JO - Nonlinear Dynamics and Systems Theory

JF - Nonlinear Dynamics and Systems Theory

SN - 1562-8353

IS - 3

ER -