Asymptotics of the state vector of delayed impulsive diffusion systems with Markov parameters

DOI10.1007/s10559-011-9338-yzbMath1329.60183OpenAlexW2029938667MaRDI QIDQ464936

I. V. Yurchenko, V. K. Yasyns'kyi, Vladimir S. Korolyuk

Publication date: 30 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10559-011-9338-y

zbMATH Keywords

Markov chainsrandom structuredelayed impulsive diffusion systemsimpulsive external disturbancessolution stability

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Functional-differential equations with impulses (34K45) Diffusion processes (60J60) Stochastic functional-differential equations (34K50)

Cites Work

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• Analysis of fluctuations of a parametric vacuum tube oscillator with delayed feedback
• Stability of dynamic systems with aftereffect under Markov perturbations
• Operator stochastic differential equations and stochastic semigroups
• Averaging method for pulse systems with Markov switchings of a special kind
• Stability of an autonomous dynamic system with fast Markov switching

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