Research output: Contribution to journal › Article › peer-review
On the Asymptotic Stability Problem for Solutions of Difference Switched Systems. / Платонов, Алексей Викторович.
In: Automation and Remote Control, Vol. 79, No. 5, 01.05.2018, p. 811-821.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 26593362