2018
DOI: 10.1049/iet-cta.2017.0806
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Stability of a class of neutral stochastic functional differential equations with Markovian switching

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Cited by 15 publications
(5 citation statements)
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“…which are twice continuously differentiable with respect to x and once continuously differentiable with respect to t. For any (t, [11])…”
Section: Preliminaries and Definitionsmentioning
confidence: 99%
See 1 more Smart Citation
“…which are twice continuously differentiable with respect to x and once continuously differentiable with respect to t. For any (t, [11])…”
Section: Preliminaries and Definitionsmentioning
confidence: 99%
“…Neutral stochastic differential equations with Markovian switching are useful to model physical, biological and economical dynamical phenomena. In the literature, many authors have studied the existence and uniqueness of solution to neutral stochastic differential equations with a Markovian switching (see [10] and [11]). Stability is the most important concept in modern control theory, and switching systems can be used to model a wide type of physical and engineering systems in practice, hence, stability of neutral stochastic differential equations with a Markovian switching has received an increasing attention (see [6], [7] and [10]).…”
Section: Introductionmentioning
confidence: 99%
“…Khasminskii [1] showed that white noise can make unstable systems to be stable. Subsequently, a large number of studies on stochastic stability appeared [2][3][4][5][6][7][8][9][10][11]. Mao and his cooperators [4,5] obtained some results on stochastic stability for nonlinear systems.…”
Section: Introductionmentioning
confidence: 99%
“…Mao and his cooperators [4,5] obtained some results on stochastic stability for nonlinear systems. Later, Mao et al [5,7,9,10], Li [6], and Song et al [11] further extended stochastic stability to a class of hybrid stochastic differential equations (SDEs).…”
Section: Introductionmentioning
confidence: 99%
“…Stability and stabilization are important issues for stochastic neutral Markovian jump delay systems (SNMJDSs). In previous works [11][12][13][14][15][16][17][18][19], a stringent assumption (i.e., linear growth condition) was imposed on the diffusion and drift coefficients, which excludes many SNMJDSs in the real world.…”
Section: Introductionmentioning
confidence: 99%