Articles with "neutral stochastic" as a keyword



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Razumikhin method to global exponential stability for coupled neutral stochastic delayed systems on networks

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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… read more here.

Keywords: coupled neutral; global exponential; neutral stochastic; exponential stability ... See more keywords
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General decay asymptotic stability of neutral stochastic differential delayed equations with Markov switching

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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… read more here.

Keywords: differential delayed; stochastic differential; equations markov; general decay ... See more keywords
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Controllability of neutral stochastic integro-differential evolution equations driven by a fractional Brownian motion

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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… read more here.

Keywords: integro; integro differential; evolution equations; fractional brownian ... See more keywords
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Approximate controllability of fractional nonlinear neutral stochastic differential inclusion with nonlocal conditions and infinite delay

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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… read more here.

Keywords: controllability fractional; nonlinear neutral; stochastic differential; fractional nonlinear ... See more keywords
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Strong convergence of the split-step theta method for neutral stochastic delay differential equations ☆

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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… read more here.

Keywords: stochastic delay; neutral stochastic; delay; differential equations ... See more keywords
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Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Mönch fixed point

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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… read more here.

Keywords: neutral stochastic; stochastic functional; exponential stability; impulsive neutral ... See more keywords
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Stability of a class of neutral stochastic functional differential equations with Markovian switching

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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,… read more here.

Keywords: class neutral; stability class; neutral stochastic; stochastic functional ... See more keywords
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Controllability of neutral stochastic evolution equations driven by fBm with Hurst parameter less than 1/2

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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… read more here.

Keywords: evolution equations; neutral stochastic; equations driven; stochastic evolution ... See more keywords
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Cluster Synchronization for Neutral Stochastic Delay Networks via Intermittent Adaptive Control

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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… read more here.

Keywords: stochastic delay; adaptive control; delay; neutral stochastic ... See more keywords
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Discrete-time feedback stabilization for hybrid neutral stochastic systems

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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… read more here.

Keywords: stabilization; stochastic systems; time; feedback ... See more keywords
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Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects

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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… read more here.

Keywords: exponential stability; fractional brownian; integrodifferential equations; neutral stochastic ... See more keywords