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Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4404
Abstract: Global exponential stability for coupled neutral stochastic delayed systems on networks (CNSDSNs) is investigated in this paper. By means of combining the Razumikhin method with graph theory, some sufficient conditions that can be verified easily…
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Keywords:
coupled neutral;
global exponential;
neutral stochastic;
exponential stability ... See more keywords
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Published in 2019 at "Frontiers of Mathematics in China"
DOI: 10.1007/s11464-019-0781-9
Abstract: The p-th moment and almost sure stability with general decay rate of the exact solutions of neutral stochastic differential delayed equations with Markov switching are investigated under given conditions. Two examples are provided to support…
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Keywords:
differential delayed;
stochastic differential;
equations markov;
general decay ... See more keywords
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Published in 2017 at "Afrika Matematika"
DOI: 10.1007/s13370-016-0439-7
Abstract: We establish sufficient conditions for the controllability of a certain class of neutral stochastic functional integro-differential evolution equations in Hilbert spaces. The results are obtained using semigroup theory, resolvent operators and a fixed-point technique. An…
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Keywords:
integro;
integro differential;
evolution equations;
fractional brownian ... See more keywords
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Published in 2017 at "Arabian Journal of Mathematics"
DOI: 10.1007/s40065-017-0163-7
Abstract: In this paper we consider a class of fractional nonlinear neutral stochastic evolution inclusions with nonlocal initial conditions in Hilbert space. Using fractional calculus, stochastic analysis theory, operator semigroups and Bohnenblust–Karlin’s fixed point theorem, a…
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Keywords:
controllability fractional;
nonlinear neutral;
stochastic differential;
fractional nonlinear ... See more keywords
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Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.05.008
Abstract: Abstract Neutral stochastic delay differential equations often appear in various fields of science and engineering. The aim of this article is to investigate the strong convergence of the split-step theta (SST) method for the neutral…
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Keywords:
stochastic delay;
neutral stochastic;
delay;
differential equations ... See more keywords
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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.07.002
Abstract: Abstract In this paper, we investigate the existence and exponential stability of mild solutions for a class of impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup in Hilbert spaces. Sufficient conditions…
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Keywords:
neutral stochastic;
stochastic functional;
exponential stability;
impulsive neutral ... See more keywords
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Published in 2018 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2017.0806
Abstract: This study investigates the stability of a class of neutral stochastic functional differential equations with Markovian switching. Some novel stability criteria are first established, including boundedness, pth moment exponential stability and almost sure exponential stability,…
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Keywords:
class neutral;
stability class;
neutral stochastic;
stochastic functional ... See more keywords
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Published in 2019 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2019.1645231
Abstract: ABSTRACT In this paper, we investigate the controllability for a class of neutral stochastic evolution equations driven by fractional Brownian motion with Hurst parameter in a Hilbert space. By using the stochastic analysis of fractional…
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Keywords:
evolution equations;
neutral stochastic;
equations driven;
stochastic evolution ... See more keywords
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Published in 2019 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2018.2890269
Abstract: This paper studies the problem of cluster synchronization at exponential rates in both the mean square and almost sure senses for neutral stochastic coupled neural networks with time-varying delay via a periodically intermittent pinning adaptive…
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Keywords:
stochastic delay;
adaptive control;
delay;
neutral stochastic ... See more keywords
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Published in 2017 at "Stochastics and Dynamics"
DOI: 10.1142/s0219493718500351
Abstract: In this paper, we study the exponential stabilization problem in pth moment of hybrid neutral stochastic systems by discrete-time feedback controls. By extending Mao’s method, we first derive an upper bound of state observation duration…
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Keywords:
stabilization;
stochastic systems;
time;
feedback ... See more keywords
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Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1562-6
Abstract: In this paper, by employing the fractional power of operators, semigroup theory, and fixed point strategy we obtain some new criteria ensuring the existence and exponential stability of a class of impulsive neutral stochastic integrodifferential…
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Keywords:
exponential stability;
fractional brownian;
integrodifferential equations;
neutral stochastic ... See more keywords