Exponential stability for second-order neutral stochastic differential equations with impulses

DOI10.1080/00207179.2015.1006683zbMath1316.93119OpenAlexW2066412440MaRDI QIDQ5266217

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Publication date: 30 July 2015

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2015.1006683

zbMATH Keywords

exponential stabilityneutral equationssecond-order equationsimpulsive stochastic equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15)

Related Items (18)

Globally exponential stability of piecewise pseudo almost periodic solutions for neutral differential equations with impulses and delays ⋮ Stability analysis for second-order stochastic neutral partial functional systems subject to infinite delays and impulses ⋮ Global attracting set and exponential decay of second-order neutral stochastic functional differential equations driven by fBm ⋮ Global exponential stability for multi-group neutral delayed systems based on Razumikhin method and graph theory ⋮ Existence and exponential stability for neutral stochastic fractional differential equations with impulses driven by Poisson jumps ⋮ Exponential stability for neutral stochastic partial integro-differential equations of second order with poisson jumps ⋮ Stability results on random impulsive control for uncertain neutral delay differential systems ⋮ The optimal control of a new class of impulsive stochastic neutral evolution integro-differential equations with infinite delay ⋮ Stability analysis for neutral stochastic differential equation of second order driven by Poisson jumps ⋮ Qualitative behaviour of stochastic integro-differential equations with random impulses ⋮ Permanence and almost periodic solution of two-species delayed Lotka–Volterra cooperative systems with impulsive perturbations ⋮ Moment exponential stability of stochastic delay systems with delayed impulse effects at random times and applications in the stabilisation of stochastic neural networks ⋮ A note on exponential stability for second-order neutral stochastic partial differential equations with infinite delays in the presence of impulses ⋮ \(L_2\)-\(L_\infty\) filtering for stochastic systems driven by Poisson processes and Wiener processes ⋮ Asymptotic behavior of second-order impulsive partial stochastic functional neutral integrodifferential equations with infinite delay ⋮ Input-to-state stability for hybrid delayed systems with admissible edge-dependent switching signals ⋮ Stability result of higher-order fractional neutral stochastic differential system with infinite delay driven by Poisson jumps and Rosenblatt process ⋮ Exponential stability for nonautonomous impulsive neutral partial stochastic evolution equations with delay

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