Stability of stochastic dynamic random-structure systems with aftereffect and Markov switchings

DOI10.1007/S10559-013-9558-4zbMath1297.93179OpenAlexW2085758220MaRDI QIDQ465987

V. K. Yasinskij

Publication date: 24 October 2014

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-013-9558-4

zbMATH Keywords

Markov perturbationstochastic dynamic systemhereditary system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15)

Related Items (6)

Optimal linear filtering for systems of stochastic differential equations with Poisson perturbations ⋮ Stability of stochastic systems of random structure with Markov switchings and perturbations ⋮ Analysis of oscillations in quasilinear stochastic dynamic hereditary systems ⋮ Stability of stochastic dynamic random-structure systems with aftereffect and Markov switchings ⋮ Parametric continuity of solutions to stochastic functional differential equations with Poisson perturbations ⋮ Stability in the first approximation of random-structure diffusion systems with aftereffect and external Markov switchings

Cites Work

• Stability of stochastic dynamic random-structure systems with aftereffect and Markov switchings
• Stochastic stability and control
• On the Theory of Markov Renewal
• Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes
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