ROBUST STABILITY ANALYSIS OF LINEAR PERIODIC SYSTEMS WITH TIME DELAY

DOI10.1142/S0217751X09044371zbMath1170.34341OpenAlexW1963999769MaRDI QIDQ3397850

Olga N. Letyagina, Alexey P. Zhabko

Publication date: 25 September 2009

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x09044371

zbMATH Keywords

robust stabilitytime delay systemsLyapunov matricessystems with periodic coefficientsLyapunov--Krasovskii approach

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Stability of solutions to ordinary differential equations (34D20) Stochastic functional-differential equations (34K50)

Related Items (8)

Robust stability and control of uncertain linear discrete-time periodic systems with time-delay ⋮ Necessary exponential stability conditions for linear periodic time‐delay systems ⋮ A Numerical Method for the Construction of Lyapunov Matrices for Linear Periodic Systems with Time Delay ⋮ Vladimir Kharitonov: Achievements in research ⋮ Averaging of linear systems with almost periodic coefficients: a time-delay approach ⋮ Robust stabilization of discrete-time switched periodic systems with time delays ⋮ Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis ⋮ Model reduction for discrete-time periodic systems with dissipativity

Cites Work

• A Liapunov functional for a matrix difference-differential equation
• Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems
• Lyapunov matrices for a class of time delay systems
• On the stability of linear systems with uncertain delay

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