Criteria for the stability of systems of linear deterministic and stochastic difference equations with continuous time and with delay

DOI10.1023/A:1010202824752zbMath1022.39003OpenAlexW278281326MaRDI QIDQ1809956

D. G. Korenevskii

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1010202824752

zbMATH Keywords

Lyapunov stabilityasymptotic stabilitydelay difference equationLyapunov function methodmatrix Lyapunov equationsdeterministic and stochastic systemsmatrix Sylvester equations

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stochastic stability in control theory (93E15) Discrete version of topics in analysis (39A12)

Related Items (5)

Construction of Lyapunov functionals for stochastic difference equations with continuous time ⋮ The stability and stabilization of stochastic delay-time systems ⋮ Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity ⋮ Stability in Probability of Nonlinear Stochastic Volterra Difference Equations with Continuous Variable ⋮ About stability of a difference analogue of a nonlinear integro-differential equation of convolution type

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