Razumikhin-type theorems on exponential stability of SDDEs containing singularly perturbed random processes

DOI10.1155/2013/854743zbMath1279.60069OpenAlexW2100553748WikidataQ58917616 ScholiaQ58917616MaRDI QIDQ370270

Xuerong Mao, Junhao Hu, Chenggui Yuan

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/854743

zbMATH Keywords

exponential stabilityMarkovian switchingRazumikhin-type theoremstochastic differential delay equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items (2)

Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory ⋮ Exponential stability of neutral stochastic functional differential equations with two-time-scale Markovian switching

Cites Work

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• Asymptotic Expansions of Singularly Perturbed Systems Involving Rapidly Fluctuating Markov Chains
• Stability of hybrid dynamic systems containing singularly perturbed random processes
• Aggregation of Variables in Dynamic Systems

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