Ultimate boundedness theorems for impulsive stochastic differential systems with Markovian switching

DOI10.1016/j.aml.2016.10.004zbMath1375.60102OpenAlexW2531552800MaRDI QIDQ346311

Danhua He, Yu-Mei Huang

Publication date: 5 December 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.10.004

zbMATH Keywords

stochasticMarkovian switchingimpulsiveexponential ultimate boundedness

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Stochastic stability in control theory (93E15)

Related Items (9)

Exponential stability of impulsive stochastic differential equations with Markovian switching ⋮ Boundedness theorems of stochastic differential systems with Lévy noise ⋮ Stochastic stability and stabilization for stochastic differential semi‐Markov jump systems with incremental quadratic constraints ⋮ Exponential ultimate boundedness and stability of impulsive stochastic functional differential equations ⋮ Exponential stability for generalized stochastic impulsive functional differential equations with delayed impulses and Markovian switching ⋮ Periodic averaging method for impulsive stochastic differential equations with Lévy noise ⋮ Boundedness analysis of neutral stochastic differential systems with mixed delays ⋮ Exponential ultimate boundedness of impulsive stochastic delay differential equations ⋮ On uniform ultimate boundedness of linear systems with time-varying delays and peak-bounded disturbances

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