Stability of dynamic systems with aftereffect under Markov perturbations

DOI10.1007/S10559-007-0112-0zbMath1153.34352OpenAlexW2068992812MaRDI QIDQ941202

I. V. Yurchenko, V. I. Musurivskii, Vladimir S. Korolyuk

Publication date: 4 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10559-007-0112-0

zbMATH Keywords

Markov parametersLyapunov-krasovskii methodstability of a solutionstochastic functional-differential equation

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items (3)

Mean-square stability and instability criteria for the Gikhman-Ito stochastic diffusion functional differential systems subject to external disturbances of the type of random variables ⋮ Asymptotics of the state vector of delayed impulsive diffusion systems with Markov parameters ⋮ Existence of Lyapunov-Krasovskii functionals for stochastic functional differential Ito-Skorokhod equations under the condition of solutions' stability on probability with finite aftereffect

Cites Work

• Analysis of exponential stability of a linear stochastic oscillator under small diffusive disturbances
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