TY - JOUR

T1 - On the Asymptotic Stability Problem for Solutions of Difference Switched Systems

AU - Платонов, Алексей Викторович

N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research, project no. 16-01-00587.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - We consider difference systems obtained by discretizing certain classes of differential systems. It is assumed that the system under consideration can operate in several modes. The problem is to establish conditions that guarantee the asymptotic stability of a given equilibrium position when switching regimes. We use the method of Lyapunov functions. We study the case when solutions of the system under various operating modes can have features of both linear and nonlinear behavior.

AB - We consider difference systems obtained by discretizing certain classes of differential systems. It is assumed that the system under consideration can operate in several modes. The problem is to establish conditions that guarantee the asymptotic stability of a given equilibrium position when switching regimes. We use the method of Lyapunov functions. We study the case when solutions of the system under various operating modes can have features of both linear and nonlinear behavior.

KW - Lyapunov functions

KW - difference equations

KW - stability

KW - switched systems

UR - http://www.scopus.com/inward/record.url?scp=85047375532&partnerID=8YFLogxK

U2 - 10.1134/S000511791805003X

DO - 10.1134/S000511791805003X

M3 - Article

VL - 79

SP - 811

EP - 821

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 5

ER -