Sufficient conditions for the existence of asymptotic quiescent position for one class of differential-difference systems

DOI10.1134/S000511791906002XzbMath1431.93034OpenAlexW2951250427MaRDI QIDQ2290414

S. E. Kuptsova, S. Yu. Kuptsov, N. A. Stepenko

Publication date: 27 January 2020

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000511791906002x

zbMATH Keywords

Lyapunov functionLyapunov stabilitynonlinear time-delay systemsRazumikhin approachasymptotic quiescent position

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by functional-differential equations (93C23) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Delay control/observation systems (93C43)

Related Items (1)

On Asymptotic Quiescent Position in Time-Delay Systems

Cites Work

• Differential-difference equations
• Theory of functional differential equations. 2nd ed
• The application of Lyapunov's method to problems in the stability of systems with delay
• Sufficient conditions for the existence of an asymptotic quiescent position in time-delay systems
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