Stability of hybrid stochastic functional differential equations

DOI10.1016/j.amc.2018.03.064zbMath1428.34120OpenAlexW2900604779MaRDI QIDQ2008475

Dehao Ruan, Luo, Jiaowan, Li-Ping Xu

Publication date: 25 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.03.064

zbMATH Keywords

stabilityMarkovian switchingstochastic functional-differential equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability of topological dynamical systems (37B25) Stability theory of functional-differential equations (34K20) Stochastic stability in control theory (93E15) Neutral functional-differential equations (34K40) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (6)

Stability analysis for nonlinear Markov jump neutral stochastic functional differential systems ⋮ Generalized Halanay inequalities for stability and dissipativity of stochastic functional differential equations ⋮ Novel criteria for exponential stability in mean square of stochastic functional differential equations ⋮ The stability with a general decay of stochastic delay differential equations with Markovian switching ⋮ Generalized halanay inequalities with applications to generalized exponential stability and boundedness of time-delay systems ⋮ LaSalle-type theorems for stochastic functional differential equations with Markovian switching

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